Surapati Pramanik - Academia.edu (original) (raw)

Papers by Surapati Pramanik

Zenodo (CERN European Organization for Nuclear Research), Dec 12, 2021

Selecting an appropriate alternative among the feasible selection options is a difficult activity... more Selecting an appropriate alternative among the feasible selection options is a difficult activity for decision makers. Because of the imprecise information and the complexity of decision problem, it is not easy to evaluate the attributes in terms of crisp numbers. To deal with the problem, neutrosophic numbers can be used during the decision process. Neutrosophic numbers can easily describe cognitive information. In this paper, we use neutrosophic numbers to state evaluation information. We define unit neutrosophic number as an effective tool to express cognitive information. We propose novel NN-TOPSIS strategy in neutrosophic number environment. Moreover, we define Euclidean distance in neutrosophic numbers environment, and propose a tangent function to determine unknown attribute weights. We propose linguistic variables in neutrosophic number environment. We present a numerical example dealing with a decision-making problem based on the proposed NN-TOPSIS strategy We present a sensitivity analysis for reflecting the influence of indeterminacy values. We then conduct a comparison analysis between the proposed NN-TOPSIS and other existing decision-making strategies.

Zenodo (CERN European Organization for Nuclear Research), Apr 30, 2018

We present an expected value based method for multiple attribute group decision making (MAGDM), w... more We present an expected value based method for multiple attribute group decision making (MAGDM), where the preference values of alternatives and the importance of attributes are expressed in terms of neutrosophic trapezoidal numbers (NTrNs). First, we introduce an expected value formula for NTrNs to be used in MAGDM. Second, we determine the expected values of aggregated rating values and expected weight values of attributes, which are given by the decision makers. Third, we determine the weighted expected value of each alternative to rank the given alternatives and chose the desired alternative. Finally, we provide a numerical example to illustrate the validity and effectiveness of the proposed approach.

Bipolar neutrosophic set theory and rough neutrosophic set theory are emerging as powerful tool f... more Bipolar neutrosophic set theory and rough neutrosophic set theory are emerging as powerful tool for dealing with uncertainty, and indeterminate, incomlete, and inprecise information. In the present study we develop a hybrid structure called “rough bipoar neutrsophic set”. In the study, we define rough bipoar neutrsophic set and define union, complement, intersection and containment of rough bipolar neutrosophic sets.

Neutrosophic Sets and Systems, May 4, 2016

The present paper proposes neutrosophic soft multi-attribute decision making based on grey relati... more The present paper proposes neutrosophic soft multi-attribute decision making based on grey relational projection method. Neutrosophic soft sets is a combination of neutrosophic sets and soft sets and it is a new mathematical apparatus to deal with realistic problems in the fields of medical sciences, economics, engineering, etc. The rating of alternatives with respect to choice parameters is represented in terms of neutrosophic soft sets. The weights of the choice parameters are completely unknown to the decision maker and information entropy method is used to determine unknown weights. Then, grey relational projection method is applied in order to obtain the ranking order of all alternatives. Finally, an illustrative numerical example is solved to demonstrate the practicality and effectiveness of the proposed approach.

Neutrosophic Sets and Systems, 2015

This paper is devoted to propose cosine, Dice and Jaccard similarity measures of interval rough n... more This paper is devoted to propose cosine, Dice and Jaccard similarity measures of interval rough neutrosophic set and interval neutrosophic mean operator. Some of the properties of the proposed similarity measures have been established. We have proposed multi attribute decision making approaches based on proposed simlarity measures. To demonstrate the applicability and efficiency of the proposed approaches, a numerical example is solved and comparision has been done among the proposed the apprqaches.

Zenodo (CERN European Organization for Nuclear Research), Dec 6, 2013

A single-valued neutrosophic set is a special case of neutrosophic set. It has been proposed as a... more A single-valued neutrosophic set is a special case of neutrosophic set. It has been proposed as a generalization of crisp sets, fuzzy sets, and intuitionistic fuzzy sets in order to deal with incomplete information. In this paper, a new approach for multi-attribute group decision making problems P. Biswas ()

Zenodo (CERN European Organization for Nuclear Research), Nov 15, 2016

This paper investigates an extended grey relational analysis method for multiple attribute decisi... more This paper investigates an extended grey relational analysis method for multiple attribute decision making problems under interval neutrosophic uncertain linguistic environment. Interval neutrosophic uncertain linguistic variables are hybridization of uncertain linguistic variables and interval neutrosophic sets and they can easily express the imprecise, indeterminate and inconsistent information which normally exist in real life situations. The rating of performance values of the alternatives with respect to the attributes is provided by the decision maker in terms of interval neutrosophic uncertain linguistic variables in the decision making situation. The weights of the attributes have been assumed to be incompletely known or completely unknown to the decision maker and the weights have been calculated by employing different optimization models. Then, an extended grey relational analysis method has been proposed to determine the ranking order of all alternatives and select the best one. Finally, a numerical example has been solved to check the validity and applicability of the proposed method and compared with other existing methods in the literature.

DOAJ (DOAJ: Directory of Open Access Journals), Jul 1, 2020

The purpose of the study is to introduce the notion of generalized neutrosophic b-open set in neu... more The purpose of the study is to introduce the notion of generalized neutrosophic b-open set in neutrosophic topological space. We define generalized neutrosophic b-open set, generalized neutrosophic b-interior, generalized neutrosophic b-closure and investigate some of their properties. By defining generalized neutrosophic b-open set, we prove some theorems on neutrosophic topological spaces. We also furnish some suitable examples.

DOAJ (DOAJ: Directory of Open Access Journals), Aug 1, 2021

In this article, we present the notion of neutrosophic tri-topological space as a generalization ... more In this article, we present the notion of neutrosophic tri-topological space as a generalization of neutrosophic bi-topological space. Besides, we study the different types of open sets and closed sets namely neutrosophic tri-open sets, neutrosophic tri-closed sets, neutrosophic tri-semiopen sets, neutrosophic tri-pre-closed sets, etc. via neutrosophic tri-topological spaces. Further, we investigate several properties, and prove some propositions, theorems on neutrosophic tritopological spaces.

viXra, Apr 30, 2018

Multi-criteria group decision making (MCGDM) strategy, which consists of a group of experts actin... more Multi-criteria group decision making (MCGDM) strategy, which consists of a group of experts acting collectively for best selection among all possible alternatives with respect to some criteria, is focused on in this study. To develop the paper, we define linguistic neutrosophic refine set. We also define entropy to calculate unknown weights of the criteria and establish basic properties of entropy in linguistic neutrosophy refine set environment. In the developed strategy, the rating of all alternatives is expressed with linguistic variables. All linguistic variables are expressed as refined neutrosophic numbers which are characterized by truth-membership sequences, indeterminacy-membership sequences, and falsitymembership sequences. Linguistic refined neutrosophic score function (LRNSF) and linguistic refined neutrosophic accumulated function (LRNAF) are proposed. Weight of each criterion is unknown to decision maker. Finally, an illustrative example is provided to demonstrate the applicability of the proposed approach.

Zenodo (CERN European Organization for Nuclear Research), Dec 1, 2020

In this paper, we introduce the notion of Neutrosophic Simply Soft Open (N SS-O) set, Neutrosophi... more In this paper, we introduce the notion of Neutrosophic Simply Soft Open (N SS-O) set, Neutrosophic Simply Soft (N SS) compact set in Neutrosophic Soft Topological Spaces (N S-TS) and investigate several properties of it. Also, we furnish the proofs of some theorems associated with N SS-compact spaces. Then, the notion of neutrosophic simply soft continuous (N SS-continuous) mapping, N SS-O mapping on an N S-TS and its properties are developed here.

Neutrosophic Sets and Systems, 2019

In the paper, we propose an alternative strategy for multi-level linear programming (MLP) problem... more In the paper, we propose an alternative strategy for multi-level linear programming (MLP) problem with neutrosophic numbers through goal programming strategy. Multi-level linear programming problem consists of k levels where there is an upper level at the first level and multiple lower levels at the second level with one objective function at every level. Here, the objective functions of the level decision makers and constraints are described by linear functions with neutrosophic numbers of the form [u + vI], where u, v are real numbers and I signifies the indeterminacy. At the beginning, the neutrosophic numbers are transformed into interval numbers and consequently, the original problem transforms into MLP problem with interval numbers. Then we compute the target interval of the objective functions via interval programming procedure and formulate the goal achieving functions. Due to potentially conflicting objectives of k decision makers, we consider a possible relaxation on the decision variables under the control of each level in order to avoid decision deadlock. Thereafter, we develop three new goal programming models for MLP problem with neutrosophic numbers. Finally, an example is solved to exhibit the applicability, feasibility and simplicity of the proposed strategy.

viXra, Dec 1, 2016

The paper develops two new methods for solving multiple attribute decision making problems with i... more The paper develops two new methods for solving multiple attribute decision making problems with interval-valued neutrosophic assessments. In the decision making situation, the rating of alternatives with respect to the predefined attributes is described by linguistic variables, which can be represented by interval-valued neutrosophic sets. We assume that the weight of the attributes are not equal in the decision making process and they are obtained by using maximizing deviation method. We define weighted projection measure and propose a method to rank the alternatives. Furthermore, we also develop an alternative method to solve multiple attribute decision making problems based on the combination of angle cosine and projection method. Finally, an illustrative numerical example in Khadi institution is solved to verify the effectiveness of the proposed methods.

viXra, 2016

In the paper, multi criteria group decision making model has been presented based on tangent simi... more In the paper, multi criteria group decision making model has been presented based on tangent similarity measure of neutrosophic refined set. Simplified form of tangent similarity measure in neutrosophic refined set has been presented. New ranking method has been proposed based on refined tangent similarity measure. The proposed approach has been illustrated by solving a teacher selection problem in neutrosophic refined set environment.

International Journal of Computer Applications, Oct 31, 2011

This paper deals with fuzzy goal programming approach to multi-objective linear plus linear fract... more This paper deals with fuzzy goal programming approach to multi-objective linear plus linear fractional programming problem based on Taylor series approximation. In the model formulation of the problem, we first construct the membership functions by determining individual optimal solutions of the objective functions subject to the system constraints. The membership functions are then transformed into equivalent linear membership functions by 1 st order Taylor series approximation. Then fuzzy goal programming models are formulated in order to solve the problem by minimizing negative deviational variables. Euclidean distance function is then used to obtain compromise optimal solution. To demonstrate the efficiency and feasibility of the proposed approach, two numerical examples are solved and compared with existing methods in the literature.

Zenodo (CERN European Organization for Nuclear Research), Apr 28, 2018

In this paper, we introduce interval trapezoidal neutrosophic number and define some arithmetic o... more In this paper, we introduce interval trapezoidal neutrosophic number and define some arithmetic operations of the proposed interval trapezoidal neutrosophic numbers. Then we consider a multiple attribute decision making (MADM) problem with interval trapezoidal neutrosophic numbers. The weight information of each attribute in the multi attribute decision making problem is expressed in terms of interval trapezoidal neutrosophic numbers. To develop distance measure based MADM strategy with interval trapezoidal neutrosophic numbers, we define normalised Hamming distance measure of the proposed numbers and develop an algorithm to determine the weight of the attributes. Using these weights, we aggregate the distance measures of preference values of each alternative with respect to ideal alternative. Then we determine the ranking order of all alternatives according to the aggregated weighted distance measures of all available alternatives. Finally, we provide an illustrative example to show the feasibility, applicability of the proposed MADM strategy with interval trapezoidal neutrosophic numbers.

Zenodo (CERN European Organization for Nuclear Research), Dec 6, 2013

The objective of the paper is to present neutrosophic soft multi attribute group decision making ... more The objective of the paper is to present neutrosophic soft multi attribute group decision making based on grey relational analysis involving multiple decision makers. The concept of neutrosophic soft sets is derived from the hybridization of the concepts of neutrosophic set and soft set. In the decision making process, the decision makers offer the rating of alternatives with respect to the parameters in terms of single valued neutrosophic set. We utilize AND operator of neutrosophic soft sets in order to aggregate the individual decision maker's opinion into a common opinion based on choice parameters of the evaluator. Then, information entropy method is employed in order to attain the weights of the choice parameters. We determine the order of the alternatives and identify the most suitable alternative based on grey relational analysis. Finally, in order to show the effectiveness of the proposed approach, a numerical example is solved.

Neutrosophic Sets and Systems, Dec 1, 2015

In the paper, we propose Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) ... more In the paper, we propose Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) technique for solving single valued neutrosophic soft set expert based multi-attribute decision making problems. Single valued neutrosophic soft expert sets are combination of single valued neutrosophic sets and soft expert sets. In the decision making process, the ratings of alternatives with respect to the parameters are expressed in terms of single valued neutrosophic soft expert sets to deal with imprecise or vague information. The unknown weights of the parameters are derived from maximizing deviation method. Then, we determine the rank of the alternatives and choose the best one by using TOPSIS method. Finally, a numerical example for teacher selection is presented to demonstrate the applicability and effectiveness of the proposed approach.

Studies in fuzziness and soft computing, Nov 4, 2018

Rough neutrosophic set, a hybrid intelligent structure of rough set and neutrosophic set, is a po... more Rough neutrosophic set, a hybrid intelligent structure of rough set and neutrosophic set, is a powerful mathematical tool to deal with indeterminate, inconsistent and incomplete information, which has caught attention to the researchers. We present a brief review of decision making models in rough neutrosophic environment. In this chapter, we propose two aggregation operators, namely, a rough neutrosophic arithmetic mean operator (RNAMO) and a rough neutrosophic geometric mean operator (RNGMO). We establish some basic properties of the proposed operators. In the decision making situation, the rating of all alternatives is expressed with the upper and lower approximation operators and the pair of neutrosophic sets, which are characterized by truth-membership degree, indeterminacy-membership degree, and falsity membership degree. Weight of each criterion is completely unknown to the decision maker. We define a cosine function to obtain the unknown criteria weights in rough neutrosophic environment. We develop four new multi-criteria decision making methods based on the proposed operators. Finally, we solve a numerical example to illustrate the feasibility, applicability and efficiency of the proposed methods.

Zenodo (CERN European Organization for Nuclear Research), Dec 12, 2021

Selecting an appropriate alternative among the feasible selection options is a difficult activity... more Selecting an appropriate alternative among the feasible selection options is a difficult activity for decision makers. Because of the imprecise information and the complexity of decision problem, it is not easy to evaluate the attributes in terms of crisp numbers. To deal with the problem, neutrosophic numbers can be used during the decision process. Neutrosophic numbers can easily describe cognitive information. In this paper, we use neutrosophic numbers to state evaluation information. We define unit neutrosophic number as an effective tool to express cognitive information. We propose novel NN-TOPSIS strategy in neutrosophic number environment. Moreover, we define Euclidean distance in neutrosophic numbers environment, and propose a tangent function to determine unknown attribute weights. We propose linguistic variables in neutrosophic number environment. We present a numerical example dealing with a decision-making problem based on the proposed NN-TOPSIS strategy We present a sensitivity analysis for reflecting the influence of indeterminacy values. We then conduct a comparison analysis between the proposed NN-TOPSIS and other existing decision-making strategies.

Zenodo (CERN European Organization for Nuclear Research), Apr 30, 2018

We present an expected value based method for multiple attribute group decision making (MAGDM), w... more We present an expected value based method for multiple attribute group decision making (MAGDM), where the preference values of alternatives and the importance of attributes are expressed in terms of neutrosophic trapezoidal numbers (NTrNs). First, we introduce an expected value formula for NTrNs to be used in MAGDM. Second, we determine the expected values of aggregated rating values and expected weight values of attributes, which are given by the decision makers. Third, we determine the weighted expected value of each alternative to rank the given alternatives and chose the desired alternative. Finally, we provide a numerical example to illustrate the validity and effectiveness of the proposed approach.

Bipolar neutrosophic set theory and rough neutrosophic set theory are emerging as powerful tool f... more Bipolar neutrosophic set theory and rough neutrosophic set theory are emerging as powerful tool for dealing with uncertainty, and indeterminate, incomlete, and inprecise information. In the present study we develop a hybrid structure called “rough bipoar neutrsophic set”. In the study, we define rough bipoar neutrsophic set and define union, complement, intersection and containment of rough bipolar neutrosophic sets.

Neutrosophic Sets and Systems, May 4, 2016

The present paper proposes neutrosophic soft multi-attribute decision making based on grey relati... more The present paper proposes neutrosophic soft multi-attribute decision making based on grey relational projection method. Neutrosophic soft sets is a combination of neutrosophic sets and soft sets and it is a new mathematical apparatus to deal with realistic problems in the fields of medical sciences, economics, engineering, etc. The rating of alternatives with respect to choice parameters is represented in terms of neutrosophic soft sets. The weights of the choice parameters are completely unknown to the decision maker and information entropy method is used to determine unknown weights. Then, grey relational projection method is applied in order to obtain the ranking order of all alternatives. Finally, an illustrative numerical example is solved to demonstrate the practicality and effectiveness of the proposed approach.

Neutrosophic Sets and Systems, 2015

This paper is devoted to propose cosine, Dice and Jaccard similarity measures of interval rough n... more This paper is devoted to propose cosine, Dice and Jaccard similarity measures of interval rough neutrosophic set and interval neutrosophic mean operator. Some of the properties of the proposed similarity measures have been established. We have proposed multi attribute decision making approaches based on proposed simlarity measures. To demonstrate the applicability and efficiency of the proposed approaches, a numerical example is solved and comparision has been done among the proposed the apprqaches.

Zenodo (CERN European Organization for Nuclear Research), Dec 6, 2013

A single-valued neutrosophic set is a special case of neutrosophic set. It has been proposed as a... more A single-valued neutrosophic set is a special case of neutrosophic set. It has been proposed as a generalization of crisp sets, fuzzy sets, and intuitionistic fuzzy sets in order to deal with incomplete information. In this paper, a new approach for multi-attribute group decision making problems P. Biswas ()

Zenodo (CERN European Organization for Nuclear Research), Nov 15, 2016

This paper investigates an extended grey relational analysis method for multiple attribute decisi... more This paper investigates an extended grey relational analysis method for multiple attribute decision making problems under interval neutrosophic uncertain linguistic environment. Interval neutrosophic uncertain linguistic variables are hybridization of uncertain linguistic variables and interval neutrosophic sets and they can easily express the imprecise, indeterminate and inconsistent information which normally exist in real life situations. The rating of performance values of the alternatives with respect to the attributes is provided by the decision maker in terms of interval neutrosophic uncertain linguistic variables in the decision making situation. The weights of the attributes have been assumed to be incompletely known or completely unknown to the decision maker and the weights have been calculated by employing different optimization models. Then, an extended grey relational analysis method has been proposed to determine the ranking order of all alternatives and select the best one. Finally, a numerical example has been solved to check the validity and applicability of the proposed method and compared with other existing methods in the literature.

DOAJ (DOAJ: Directory of Open Access Journals), Jul 1, 2020

The purpose of the study is to introduce the notion of generalized neutrosophic b-open set in neu... more The purpose of the study is to introduce the notion of generalized neutrosophic b-open set in neutrosophic topological space. We define generalized neutrosophic b-open set, generalized neutrosophic b-interior, generalized neutrosophic b-closure and investigate some of their properties. By defining generalized neutrosophic b-open set, we prove some theorems on neutrosophic topological spaces. We also furnish some suitable examples.

DOAJ (DOAJ: Directory of Open Access Journals), Aug 1, 2021

In this article, we present the notion of neutrosophic tri-topological space as a generalization ... more In this article, we present the notion of neutrosophic tri-topological space as a generalization of neutrosophic bi-topological space. Besides, we study the different types of open sets and closed sets namely neutrosophic tri-open sets, neutrosophic tri-closed sets, neutrosophic tri-semiopen sets, neutrosophic tri-pre-closed sets, etc. via neutrosophic tri-topological spaces. Further, we investigate several properties, and prove some propositions, theorems on neutrosophic tritopological spaces.

viXra, Apr 30, 2018

Multi-criteria group decision making (MCGDM) strategy, which consists of a group of experts actin... more Multi-criteria group decision making (MCGDM) strategy, which consists of a group of experts acting collectively for best selection among all possible alternatives with respect to some criteria, is focused on in this study. To develop the paper, we define linguistic neutrosophic refine set. We also define entropy to calculate unknown weights of the criteria and establish basic properties of entropy in linguistic neutrosophy refine set environment. In the developed strategy, the rating of all alternatives is expressed with linguistic variables. All linguistic variables are expressed as refined neutrosophic numbers which are characterized by truth-membership sequences, indeterminacy-membership sequences, and falsitymembership sequences. Linguistic refined neutrosophic score function (LRNSF) and linguistic refined neutrosophic accumulated function (LRNAF) are proposed. Weight of each criterion is unknown to decision maker. Finally, an illustrative example is provided to demonstrate the applicability of the proposed approach.

Zenodo (CERN European Organization for Nuclear Research), Dec 1, 2020

In this paper, we introduce the notion of Neutrosophic Simply Soft Open (N SS-O) set, Neutrosophi... more In this paper, we introduce the notion of Neutrosophic Simply Soft Open (N SS-O) set, Neutrosophic Simply Soft (N SS) compact set in Neutrosophic Soft Topological Spaces (N S-TS) and investigate several properties of it. Also, we furnish the proofs of some theorems associated with N SS-compact spaces. Then, the notion of neutrosophic simply soft continuous (N SS-continuous) mapping, N SS-O mapping on an N S-TS and its properties are developed here.

Neutrosophic Sets and Systems, 2019

In the paper, we propose an alternative strategy for multi-level linear programming (MLP) problem... more In the paper, we propose an alternative strategy for multi-level linear programming (MLP) problem with neutrosophic numbers through goal programming strategy. Multi-level linear programming problem consists of k levels where there is an upper level at the first level and multiple lower levels at the second level with one objective function at every level. Here, the objective functions of the level decision makers and constraints are described by linear functions with neutrosophic numbers of the form [u + vI], where u, v are real numbers and I signifies the indeterminacy. At the beginning, the neutrosophic numbers are transformed into interval numbers and consequently, the original problem transforms into MLP problem with interval numbers. Then we compute the target interval of the objective functions via interval programming procedure and formulate the goal achieving functions. Due to potentially conflicting objectives of k decision makers, we consider a possible relaxation on the decision variables under the control of each level in order to avoid decision deadlock. Thereafter, we develop three new goal programming models for MLP problem with neutrosophic numbers. Finally, an example is solved to exhibit the applicability, feasibility and simplicity of the proposed strategy.

viXra, Dec 1, 2016

The paper develops two new methods for solving multiple attribute decision making problems with i... more The paper develops two new methods for solving multiple attribute decision making problems with interval-valued neutrosophic assessments. In the decision making situation, the rating of alternatives with respect to the predefined attributes is described by linguistic variables, which can be represented by interval-valued neutrosophic sets. We assume that the weight of the attributes are not equal in the decision making process and they are obtained by using maximizing deviation method. We define weighted projection measure and propose a method to rank the alternatives. Furthermore, we also develop an alternative method to solve multiple attribute decision making problems based on the combination of angle cosine and projection method. Finally, an illustrative numerical example in Khadi institution is solved to verify the effectiveness of the proposed methods.

viXra, 2016

In the paper, multi criteria group decision making model has been presented based on tangent simi... more In the paper, multi criteria group decision making model has been presented based on tangent similarity measure of neutrosophic refined set. Simplified form of tangent similarity measure in neutrosophic refined set has been presented. New ranking method has been proposed based on refined tangent similarity measure. The proposed approach has been illustrated by solving a teacher selection problem in neutrosophic refined set environment.

International Journal of Computer Applications, Oct 31, 2011

This paper deals with fuzzy goal programming approach to multi-objective linear plus linear fract... more This paper deals with fuzzy goal programming approach to multi-objective linear plus linear fractional programming problem based on Taylor series approximation. In the model formulation of the problem, we first construct the membership functions by determining individual optimal solutions of the objective functions subject to the system constraints. The membership functions are then transformed into equivalent linear membership functions by 1 st order Taylor series approximation. Then fuzzy goal programming models are formulated in order to solve the problem by minimizing negative deviational variables. Euclidean distance function is then used to obtain compromise optimal solution. To demonstrate the efficiency and feasibility of the proposed approach, two numerical examples are solved and compared with existing methods in the literature.

Zenodo (CERN European Organization for Nuclear Research), Apr 28, 2018

In this paper, we introduce interval trapezoidal neutrosophic number and define some arithmetic o... more In this paper, we introduce interval trapezoidal neutrosophic number and define some arithmetic operations of the proposed interval trapezoidal neutrosophic numbers. Then we consider a multiple attribute decision making (MADM) problem with interval trapezoidal neutrosophic numbers. The weight information of each attribute in the multi attribute decision making problem is expressed in terms of interval trapezoidal neutrosophic numbers. To develop distance measure based MADM strategy with interval trapezoidal neutrosophic numbers, we define normalised Hamming distance measure of the proposed numbers and develop an algorithm to determine the weight of the attributes. Using these weights, we aggregate the distance measures of preference values of each alternative with respect to ideal alternative. Then we determine the ranking order of all alternatives according to the aggregated weighted distance measures of all available alternatives. Finally, we provide an illustrative example to show the feasibility, applicability of the proposed MADM strategy with interval trapezoidal neutrosophic numbers.

Zenodo (CERN European Organization for Nuclear Research), Dec 6, 2013

The objective of the paper is to present neutrosophic soft multi attribute group decision making ... more The objective of the paper is to present neutrosophic soft multi attribute group decision making based on grey relational analysis involving multiple decision makers. The concept of neutrosophic soft sets is derived from the hybridization of the concepts of neutrosophic set and soft set. In the decision making process, the decision makers offer the rating of alternatives with respect to the parameters in terms of single valued neutrosophic set. We utilize AND operator of neutrosophic soft sets in order to aggregate the individual decision maker's opinion into a common opinion based on choice parameters of the evaluator. Then, information entropy method is employed in order to attain the weights of the choice parameters. We determine the order of the alternatives and identify the most suitable alternative based on grey relational analysis. Finally, in order to show the effectiveness of the proposed approach, a numerical example is solved.

Neutrosophic Sets and Systems, Dec 1, 2015

In the paper, we propose Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) ... more In the paper, we propose Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) technique for solving single valued neutrosophic soft set expert based multi-attribute decision making problems. Single valued neutrosophic soft expert sets are combination of single valued neutrosophic sets and soft expert sets. In the decision making process, the ratings of alternatives with respect to the parameters are expressed in terms of single valued neutrosophic soft expert sets to deal with imprecise or vague information. The unknown weights of the parameters are derived from maximizing deviation method. Then, we determine the rank of the alternatives and choose the best one by using TOPSIS method. Finally, a numerical example for teacher selection is presented to demonstrate the applicability and effectiveness of the proposed approach.

Studies in fuzziness and soft computing, Nov 4, 2018

Rough neutrosophic set, a hybrid intelligent structure of rough set and neutrosophic set, is a po... more Rough neutrosophic set, a hybrid intelligent structure of rough set and neutrosophic set, is a powerful mathematical tool to deal with indeterminate, inconsistent and incomplete information, which has caught attention to the researchers. We present a brief review of decision making models in rough neutrosophic environment. In this chapter, we propose two aggregation operators, namely, a rough neutrosophic arithmetic mean operator (RNAMO) and a rough neutrosophic geometric mean operator (RNGMO). We establish some basic properties of the proposed operators. In the decision making situation, the rating of all alternatives is expressed with the upper and lower approximation operators and the pair of neutrosophic sets, which are characterized by truth-membership degree, indeterminacy-membership degree, and falsity membership degree. Weight of each criterion is completely unknown to the decision maker. We define a cosine function to obtain the unknown criteria weights in rough neutrosophic environment. We develop four new multi-criteria decision making methods based on the proposed operators. Finally, we solve a numerical example to illustrate the feasibility, applicability and efficiency of the proposed methods.