ELECTRE-Based Outranking Method for Multi-criteria Decision Making Using Hesitant Intuitionistic Fuzzy Linguistic Term Sets (original) (raw)
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Journal of Intelligent & Fuzzy Systems, 2017
This article proposes an outranking method for group decision-making (GDM) using hesitant intuitionistic fuzzy linguistic term sets (HIFLTSs). By means of HIFLTSs, the flexibility in generating evaluation information under uncertainty can be achieved to a larger extent than intuitionistic fuzzy sets (IFSs) or hesitant fuzzy linguistic term sets (HFLSs). Based on intuitionistic fuzzy support function (IFSF), intuitionistic fuzzy risk function (IFRF) and intuitionistic fuzzy credibility function (IFCF), the net outranking flow index (NOFI) of each alternative are calculated which represents the net outranking character of an alternative over the other. The linguistic scale functions (LSFs) are employed in this paper to conduct the transformation between qualitative information and quantitative data. Finally, an outranking approach is constructed for ranking alternatives in multi-criteria group decision-making (MCGDM) problems, and the approach is demonstrated using a numerical example.
THE ELECTRE I MULTI-CRITERIA DECISION-MAKING METHOD BASED ON HESITANT FUZZY SETS
International Journal of Information Technology & Decision Making, 2013
Hesitant fuzzy set (HFS), which allows the membership degree of an element to a set represented by several possible values, is considered as a powerful tool to express uncertain information in the process of multi-criteria decision making (MCDM) problems. In this paper, we develop a hesitant fuzzy ELECTRE I (HF-ELECTRE I) method and apply it to solve the MCDM problem under hesitant fuzzy environments. The new method is formulated using the concepts of hesitant fuzzy concordance and hesitant fuzzy discordance which are based on the given score function and deviation function, and employed to determine the preferable alternative. Numerical examples are provided to demonstrate the application of the proposed method, and the in°uence of di®erent numbers of alternatives on outranking relations is analyzed based on a derived sensitive parameter interval in which a change in the parameters has no e®ects on the set of the nonoutranked alternatives. The randomly generated numerical cases are also investigated in the framework of the HF-ELECTRE I method. Furthermore, the outranking relations obtained in the HF-ELECTRE I method with those derived from the aggregation operatorbased approach and the ELECTRE III and ELECTRE IV methods are discussed.
Information Sciences, 2014
The hesitant fuzzy linguistic term sets (HFLTSs), which can be used to represent an expert’s hesitant preferences when assessing a linguistic variable, increase the flexibility of eliciting and representing linguistic information. The HFLTSs have attracted a lot of attention recently due to their distinguished power and efficiency in representing uncertainty and vagueness within the process of decision making. To enhance and extend the applicability of HFLTSs, this paper investigates and develops different types of distance and similarity measures for HFLTSs. The paper first proposes a family of distance and similarity measures between two HFLTSs. Then a variety of weighted or ordered weighted distance and similarity measures between two collections of HFLTSs are proposed and analyzed for discrete and continuous cases respectively. After that, the application of these measures to multi-criteria decision making problems is given. Based on the proposed distance and similarity measures, the satisfaction degrees for different alternatives are established and are then used to rank alternatives in multi-criteria decision making. Finally a practical example concerning the evaluation of the quality of movies is given to illustrate the applicability and advantage of the proposed approach and the differences between the proposed distance and similarity measures.
International journal of mathematical, engineering and management sciences, 2020
Decision making under uncertainty is a crucial issue and most demanding area of research now a days. Intuitionistic hesitant fuzzy set plays important role in dealing with the circumstances in which decision makers judge an alternative with a collection membership grades and a collection of non-membership grades. This paper contributes a novel and advanced distance measure between Intuitionistic Hesitant fuzzy sets (IHFSs). A comparative analysis of the present distance measure with existing measures is performed first. Afterwards, a case study is carried in multi-criteria decision making problem to exhibit the applicability and rationality of the proposed distance measure. The advantage of the proposed distance measure over the existing distance measures is that in case of deficit number of elements in IHFs, a decision maker can evaluate distance measure without adding extra elements to make them equivalent and furthermore, it works in successfully in all the situations.
The ELECTRE multicriteria analysis approach based on Atanassov’s intuitionistic fuzzy sets
Expert Systems with Applications, 2011
In recent decades, intuitionistic fuzzy sets have been applied to many different fields; however, few current studies have used the ELECTRE method to solve multi-criteria decision-making problems with intuitionistic fuzzy information. The purpose of this paper is to develop a new method, the intuitionistic fuzzy ELECTRE method, for solving multi-criteria decision-making problems. Atanassov's intuitionistic fuzzy set (A-IFS) characteristics are simultaneously concerned with the degree of membership, degree of non-membership, and intuitionistic index, and people can use A-IFS to describe uncertain situations in decision-making problems. We use the proposed method to rank all alternatives and determine the best alternative. The proposed method can also use imperfect or insufficient knowledge of data to deal with decision-making problems. Finally, two practical examples are given that illustrate the procedure of the proposed method.
ELECTRE I Method Using Hesitant Linguistic Term Sets: An Application to Supplier Selection
International Journal of Computational Intelligence Systems, 2016
Decision making is a common process in human activities. Every person or organization needs to make decisions besides dealing with uncertainty and vagueness associated with human cognition. The theory of fuzzy logic provides a mathematical base to model the uncertainities. Hesitant fuzzy linguistic term set (HFLTS) creates an appropriate method to deal with uncertainty in decision making. Managerial decision making generally implies that decision making process conducts multiple and conflicting criteria. Multi criteria decision analysis (MCDA) is a widely applied decision making method. Outranking methods are one type of MCDA methods which facilitate the decision making process through comparing binary relations in order to rank the alternatives. Elimination et Choix Traduisant la Réalité (ELECTRE), means elimination and choice that translates reality, is an outranking method. In this paper, an extended version of ELECTRE I method using HFLTS is proposed. Finally, a real case problem is provided to illustrate the HFLTS-ELECTRE I method.
Distance and similarity measures for hesitant fuzzy sets
INFORMATION SCIENCES, 2011
The hesitant fuzzy linguistic term sets (HFLTSs), which can be used to represent an expert's hesitant preferences when assessing a linguistic variable, increase the flexibility of eliciting and representing linguistic information. The HFLTSs have attracted a lot of attention recently due to their distinguished power and efficiency in representing uncertainty and vagueness within the process of decision making. To enhance and extend the applicability of HFLTSs, this paper investigates and develops different types of distance and similarity measures for HFLTSs. The paper first proposes a family of distance and similarity measures between two HFLTSs. Then a variety of weighted or ordered weighted distance and similarity measures between two collections of HFLTSs are proposed and analyzed for discrete and continuous cases respectively. After that, the application of these measures to multi-criteria decision making problems is given. Based on the proposed distance and similarity measures, the satisfaction degrees for different alternatives are established and are then used to rank alternatives in multi-criteria decision making. Finally a practical example concerning the evaluation of the quality of movies is given to illustrate the applicability and advantage of the proposed approach and the differences between the proposed distance and similarity measures.
Information Fusion, 2019
Hesitant fuzzy linguistic term sets have been an active field of research in recent times. Notwithstanding its usefulness to capture the human way of reasoning using linguistic expressions involving different levels of precision, in some situations they do not depict enough details. In this paper, we present a new kind of linguistic term sets, called free double hierarchy linguistic term sets, and their corresponding free double hierarchy hesitant fuzzy linguistic elements, in order to describe the complexity of linguistic expressions used by the decision makers in a more accurate and precise way. Furthermore, an order and a distance between free double hierarchy hesitant fuzzy linguistic elements are introduced to present an approach based on the TOPSIS method to rank alternatives with free double hierarchy hesitant fuzzy linguistic information by taking into consideration the opinions of a group of decision makers. A case study based on tourism management in Barcelona is also provided to illustrate the usefulness of the presented approach.
Indian Society for Education and Environment (iSee), 2023
Objective: In this paper we propose various Linguistic Intuitionistic Fuzzy Distance Measures (LIFDMs) for Linguistic Intuitionistic Fuzzy Sets (LIFSs) which are then utilized in the Linguistic Intuitionistic Fuzzy-Technique of Order Preference by Similarity to Ideal Solution (LIF-TOPSIS) method of Decision Support Systems (DSS). Methods: Some novel distance measures including membership, non-membership degrees and the linguistic index and distance measures based on Hausdorff metric are proposed in this work and related theorems are proved. Findings: The proposed distance measures are used to find the weights involved in the TOPSIS method. Numerical illustration is presented for the LIF-TOPSIS method and comparisons are made with existing ranking method and the ranking methods obtained from the different distance measures. The comparison study reveals the consistency of the ranking of the best alternative from the final ranking of the alternatives through the proposed distance measures. Novelty: Most of the researchers have done decision making with Linguistic Intuitionistic Fuzzy Sets, where the best alternatives are chosen using traditional distance measures involving only the intuitionistic fuzzy number or using some other calculations. In this paper we have proposed varieties of distance measures involving intuitionistic characterization and the linguistic characterization and proved that those distance measures are metrices. Using these different metrices we have derived different weight vectors for LIF-TOPSIS and the results give consistent decision for the discussed numerical illustration.
PLOS ONE
Correlation is considered the most important factor in analyzing the data in statistics. It is used to measure the movement of two different variables linearly. The concept of correlation is well-known and used in different fields to measure the association between two variables. The hesitant 2-tuple fuzzy linguistic set (H2FLS) comes out to be valuable in addressing people’s reluctant subjective data. The purpose of this paper is to analyze new correlation measures between H2FLSs and apply them in the decision-making process. First and foremost, the ideas of mean and variance of hesitant 2-tuple fuzzy linguistic elements (H2FLEs) are introduced. Then, a new correlation coefficient between H2FLSs is established. In addition, considering that different H2FLEs may have different criteria weights, the weighted correlation coefficient and ordered weighted correlation coefficient are further investigated. A practical example concerning the detailed procedure of solving problems is exempl...