Muthu Raj - Academia.edu (original) (raw)

Papers by Muthu Raj

Research paper thumbnail of Some Properties of Bipolar Fuzzy Normal HX Subgroup and its Normal Level Sub HX Groups

In this paper, the notion of the normal level sub HX group is introduced. We discuss the properti... more In this paper, the notion of the normal level sub HX group is introduced. We discuss the properties of normal level sub HX groups of a bipolar fuzzy normal HX subgroup of a HX group under homomorphism and anti-homomorphism. AMS Subject Classification (2000): 20N25, 03E72, 03F055, 06F35, 03G25. Keywordsfuzzy set, bipolar fuzzy set, bipolar fuzzy HX subgroup, bipolar fuzzy normal HX subgroup, level sub HX group, normal level sub HX group

Research paper thumbnail of Intuitionistic Anti-Fuzzy Hx Ring

International Journal of Mathematics Trends and Technology, 2016

Statistical design of experiment (DOE) is an important tool to improve and developed of existing ... more Statistical design of experiment (DOE) is an important tool to improve and developed of existing products or processes. This paper investigates the effect of essential finishing factors; curing temperature, curing time, resin, catalyst and cationic additive concentrations on the mechanical properties, especially on 3D ranks of cotton treated fabric with a copolymer acrylic resin. After that, it evaluates the impact of cationic additive class on 3D ranks and mechanical properties loss (breaking strength, breaking elongation and tear strength) of treated fabric with acrylic resin. The results, showed that cationic type effect; firstly (Electroprep) has the best quality on 3D rank of treated fabric and effect a little loss on mechanical properties, secondly (Easy stone super X), whereas (Easystone K) lead to a negatively loss on mechanical properties and gives undesired 3D rank. In order to investigate the causes of resin finish resumption and downgrading of garments in textile industry caused by ingredient concentration in bath resin. The main effect plot, interaction plot and contour plot method applied give to the textile engineer the possibility to predict the effect of resin treatment factors on the final quality desired of 3D rank and preserving the mechanical characteristics of treated fabric.

Research paper thumbnail of An Introduction to Fuzzy Testing of Multialternative Hypotheses for Group of Samples with the Single Parameter: Through the Fuzzy Confidence Interval of Region of Acceptance

Journal of Applied Mathematics, 2015

Research paper thumbnail of A Study on L-Fuzzy Normal Subl-GROUP

Applied Mathematics and Sciences: An International Journal (MathSJ), 2016

This paper contains some definitions and results of L-fuzzy normal sub l-group and its generalize... more This paper contains some definitions and results of L-fuzzy normal sub l-group and its generalized characteristics.

Research paper thumbnail of Anti Fuzzy HX Ring and Its Level Sub HX Ring

In this paper, we define the concept of an anti fuzzy HX ring and define a new algebraic structur... more In this paper, we define the concept of an anti fuzzy HX ring and define a new algebraic structure of an anti fuzzy sub HX ring of a HX ring. Also we define level sub HX ring of a HX ring and some related properties are investigated. The purpose of this study is to implement the fuzzy set theory and ring theory in anti fuzzy sub HX ring of a HX ring. Characterizations of level subsets of an anti fuzzy sub HX ring of a HX ring are given. We also discussed the relation between a given anti fuzzy sub HX ring of a HX ring and its level sub HX rings and investigate the conditions under which a given HX ring has a properly inclusive chain of sub HX rings. In particular, we formulate how to structure an anti fuzzy sub HX ring of a HX ring by a given chain of sub HX rings.

Research paper thumbnail of Some Properties of Induced Fuzzy and Induced Anti Fuzzy Subgroups on a HX Group

In this paper, we define the concept of induced fuzzy subgroup (fuzzy HX subgroup) and induced an... more In this paper, we define the concept of induced fuzzy subgroup (fuzzy HX subgroup) and induced anti fuzzy subgroup (anti fuzzy HX subgroup) of a HX group. We also define a fuzzy coset of a fuzzy HX subgroup, anti fuzzy HX subgroup of a HX group, conjugate fuzzy HX subgroups, conjugate anti fuzzy HX subgroups of a HX group and discussed some of its properties with the examples. Then we establish the relation between the fuzzy subset of a group and fuzzy HX subgroup, and the relation between a fuzzy subset of a group and an anti fuzzy HX subgroup of a HX group. Further we define the level subsets and lower level subsets of a fuzzy cosets of a fuzzy HX subgroup, anti fuzzy HX subgroup and discussed some of its properties. We also define quotient HX subgroup of a HX group induced by a fuzzy normal HX subgroup and by an anti fuzzy normal HX subgroup of a HX group. We also discussed its properties under isomorphism and anti isomorphism.

Research paper thumbnail of Common Fixed Point Theorems in Compatible Mappings of Type (P*) of Generalized Intuitionistic Fuzzy Metric Spaces

Applied Mathematics and Sciences: An International Journal (MathSJ), 2015

In this paper, we give some new definition of Compatible mappings of type (P), type (P-1) and typ... more In this paper, we give some new definition of Compatible mappings of type (P), type (P-1) and type (P-2) in intuitionistic generalized fuzzy metric spaces and prove Common fixed point theorems for six mappings under the conditions of compatible mappings of type (P-1) and type (P-2) in complete intuitionistic fuzzy metric spaces. Our results intuitionistically fuzzify the result of Muthuraj and Pandiselvi [15]

Research paper thumbnail of A STUDY ON L-FUZZY NORMAL SUBl -GROUP

This paper contains some definitions and results of L-fuzzy normal sub l-group and its generalize... more This paper contains some definitions and results of L-fuzzy normal sub l-group and its generalized characteristics. KEYWORDS Fuzzy set, L-fuzzy set, L-fuzzy sub l-group, L-fuzzy normal sub l-group .

Research paper thumbnail of Some Properties of Bipolar Fuzzy Normal HX Subgroup and its Normal Level Sub HX Groups

In this paper, the notion of the normal level sub HX group is introduced. We discuss the properti... more In this paper, the notion of the normal level sub HX group is introduced. We discuss the properties of normal level sub HX groups of a bipolar fuzzy normal HX subgroup of a HX group under homomorphism and anti-homomorphism. AMS Subject Classification (2000): 20N25, 03E72, 03F055, 06F35, 03G25. Keywordsfuzzy set, bipolar fuzzy set, bipolar fuzzy HX subgroup, bipolar fuzzy normal HX subgroup, level sub HX group, normal level sub HX group

Research paper thumbnail of Intuitionistic Anti-Fuzzy Hx Ring

International Journal of Mathematics Trends and Technology, 2016

Statistical design of experiment (DOE) is an important tool to improve and developed of existing ... more Statistical design of experiment (DOE) is an important tool to improve and developed of existing products or processes. This paper investigates the effect of essential finishing factors; curing temperature, curing time, resin, catalyst and cationic additive concentrations on the mechanical properties, especially on 3D ranks of cotton treated fabric with a copolymer acrylic resin. After that, it evaluates the impact of cationic additive class on 3D ranks and mechanical properties loss (breaking strength, breaking elongation and tear strength) of treated fabric with acrylic resin. The results, showed that cationic type effect; firstly (Electroprep) has the best quality on 3D rank of treated fabric and effect a little loss on mechanical properties, secondly (Easy stone super X), whereas (Easystone K) lead to a negatively loss on mechanical properties and gives undesired 3D rank. In order to investigate the causes of resin finish resumption and downgrading of garments in textile industry caused by ingredient concentration in bath resin. The main effect plot, interaction plot and contour plot method applied give to the textile engineer the possibility to predict the effect of resin treatment factors on the final quality desired of 3D rank and preserving the mechanical characteristics of treated fabric.

Research paper thumbnail of An Introduction to Fuzzy Testing of Multialternative Hypotheses for Group of Samples with the Single Parameter: Through the Fuzzy Confidence Interval of Region of Acceptance

Journal of Applied Mathematics, 2015

Research paper thumbnail of A Study on L-Fuzzy Normal Subl-GROUP

Applied Mathematics and Sciences: An International Journal (MathSJ), 2016

This paper contains some definitions and results of L-fuzzy normal sub l-group and its generalize... more This paper contains some definitions and results of L-fuzzy normal sub l-group and its generalized characteristics.

Research paper thumbnail of Anti Fuzzy HX Ring and Its Level Sub HX Ring

In this paper, we define the concept of an anti fuzzy HX ring and define a new algebraic structur... more In this paper, we define the concept of an anti fuzzy HX ring and define a new algebraic structure of an anti fuzzy sub HX ring of a HX ring. Also we define level sub HX ring of a HX ring and some related properties are investigated. The purpose of this study is to implement the fuzzy set theory and ring theory in anti fuzzy sub HX ring of a HX ring. Characterizations of level subsets of an anti fuzzy sub HX ring of a HX ring are given. We also discussed the relation between a given anti fuzzy sub HX ring of a HX ring and its level sub HX rings and investigate the conditions under which a given HX ring has a properly inclusive chain of sub HX rings. In particular, we formulate how to structure an anti fuzzy sub HX ring of a HX ring by a given chain of sub HX rings.

Research paper thumbnail of Some Properties of Induced Fuzzy and Induced Anti Fuzzy Subgroups on a HX Group

In this paper, we define the concept of induced fuzzy subgroup (fuzzy HX subgroup) and induced an... more In this paper, we define the concept of induced fuzzy subgroup (fuzzy HX subgroup) and induced anti fuzzy subgroup (anti fuzzy HX subgroup) of a HX group. We also define a fuzzy coset of a fuzzy HX subgroup, anti fuzzy HX subgroup of a HX group, conjugate fuzzy HX subgroups, conjugate anti fuzzy HX subgroups of a HX group and discussed some of its properties with the examples. Then we establish the relation between the fuzzy subset of a group and fuzzy HX subgroup, and the relation between a fuzzy subset of a group and an anti fuzzy HX subgroup of a HX group. Further we define the level subsets and lower level subsets of a fuzzy cosets of a fuzzy HX subgroup, anti fuzzy HX subgroup and discussed some of its properties. We also define quotient HX subgroup of a HX group induced by a fuzzy normal HX subgroup and by an anti fuzzy normal HX subgroup of a HX group. We also discussed its properties under isomorphism and anti isomorphism.

Research paper thumbnail of Common Fixed Point Theorems in Compatible Mappings of Type (P*) of Generalized Intuitionistic Fuzzy Metric Spaces

Applied Mathematics and Sciences: An International Journal (MathSJ), 2015

In this paper, we give some new definition of Compatible mappings of type (P), type (P-1) and typ... more In this paper, we give some new definition of Compatible mappings of type (P), type (P-1) and type (P-2) in intuitionistic generalized fuzzy metric spaces and prove Common fixed point theorems for six mappings under the conditions of compatible mappings of type (P-1) and type (P-2) in complete intuitionistic fuzzy metric spaces. Our results intuitionistically fuzzify the result of Muthuraj and Pandiselvi [15]

Research paper thumbnail of A STUDY ON L-FUZZY NORMAL SUBl -GROUP

This paper contains some definitions and results of L-fuzzy normal sub l-group and its generalize... more This paper contains some definitions and results of L-fuzzy normal sub l-group and its generalized characteristics. KEYWORDS Fuzzy set, L-fuzzy set, L-fuzzy sub l-group, L-fuzzy normal sub l-group .