Results 1 to 10 of about 64,777 (155)

On Cubic Fuzzy Groups and Cubic Fuzzy Normal Subgroups

open access: yesScience Journal of University of Zakho, 2022
In this paper, the notions of cubic fuzzy groups and cubic fuzzy normal subgroups are introduced. The internal, external of cubic sets, (P-,R-) order, (P-,R-) intersection and (P-,R-) union of cubic fuzzy groups are investigated and some related ...
Kardo Sleman Haso, Alias Barakat Khalaf
doaj   +3 more sources

On Fundamental Algebraic Characterizations of μ-Fuzzy Normal Subgroups

open access: yesJournal of Function Spaces, 2022
In this article, we present the study of μ-fuzzy subgroups and prove numerous fundamental algebraic attributes of this newly defined notion. We also define the concept of μ-fuzzy normal subgroup and investigate many vital algebraic characteristics of ...
Ibtisam Masmali   +4 more
doaj   +3 more sources

ON THE NUMBER OF FUZZY SUBGROUPS AND FUZZY NORMAL SUBGROUPS OF S2, S3 AND A4

open access: yesSouth East Asian J. of Mathematics and Mathematical Sciences, 2023
Counting fuzzy subgroups of a finite group is a fundamental problem of fuzzy group theory. Many researchers have made significant contributions to the rapid growth of this topic in recent years. The number of fuzzy subgroups of any group is infinite without the aid of equivalence relation.
Kumar, Dhiraj, Singh, Manoranjan Kumar
openaire   +2 more sources

Anti-Homomorphism in Q-Fuzzy Subgroups and Normal Subgroups

open access: yesRatio Mathematica, 2023
Many researchers have explored the fuzzy set extensively. We propose the notion of anti-homomorphism in Q is fuzzy subgroups and normal subgroups. It is establish some findings in this study article and build the theory of anti-homomorphism in Q-fuzzy ...
R Jahir Hussain, S Palaniyandi
doaj   +2 more sources

Anti Q-M-Fuzzy Normal Subgroups

open access: yesRatio Mathematica, 2023
Numerous subject fields have made use of the fuzzy idea. Both the M-fuzzy level subsets and the anti Q-M-fuzzy normal subgroups are defined. You will also discover some group Q-M-homomorphism and group anti Q-M-homomorphism results in this study.
S Palaniyandi, R Jahir Hussain
doaj   +2 more sources

A Comprehensive Study on Pythagorean Fuzzy Normal Subgroups and Pythagorean Fuzzy Isomorphisms

open access: yesSymmetry, 2022
The Pythagorean fuzzy set is an extension of the intuitionistic fuzzy set used to handle uncertain circumstances in various decisions making problems. Group theory is a mathematical technique for dealing with problems of symmetry. This study deals with Pythagorean fuzzy group theory.
Abdul Razaq   +3 more
openaire   +2 more sources

Interval-valued Fuzzy Normal Subgroups

open access: yesInternational Journal of Fuzzy Logic and Intelligent Systems, 2012
We study some properties of interval-valued fuzzy normal subgroups of a group. In particular, we obtain two characterizations of interval-valued fuzzy normal subgroups. Moreover, we introduce the concept of an interval-valued fuzzy coset and obtain several results which are analogous of some basic theorems of group theory.
Su-Yeon Jang, Kul Hur, Pyung-Ki Lim
openaire   +2 more sources

A Mathematical Study on Q Fuzzy Normal Subgroups

open access: yesINTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH, 2020
This paper on the basis of fuzzy sets introduced by L.A Zadeh , we first gave  the definition of  - fuzzy set and then defined -fuzzy subgroups and - fuzzy normal subgroups and finally, defined quotient group of the - fuzzy cosets of an -fuzzy normal subgroup.
V. Anithakumari, S. Akila
openaire   +3 more sources

On intuitionistic fuzzy characteristic and Frattini subgroups [PDF]

open access: yesNotes on IFS
This paper presents intuitionistic fuzzy characteristic subgroups and discusses some of its properties. It is established that an intuitionistic fuzzy subgroup of an intuitionistic fuzzy group is characteristic provided its cuts are characteristic ...
Paul Augustine Ejegwa   +1 more
doaj   +2 more sources

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