Results 11 to 20 of about 2,185 (227)
Fuzzy Subgroups and Digraphs Induced by Fuzzy Subgroups [PDF]
Transactions on Fuzzy Sets and Systems, 2022 Given a fuzzy subgroup $\mu$ of a group $G$, $x\rhd_uy$ if and only if $\mu(xy) < \mu(yx)$ defines a directed relation with an associated digraph $(G, \rhd_u)$.
Paul J. Allen +2 more
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On the Subgroups Lattice and Fuzzy Subgroups of Finite Groups U6n
Fuzzy Information and Engineering, 2022 In this paper, we treat accounting for the number of fuzzy (normal) subgroups of finite groups [Formula: see text]. In order to do this, we use the natural equivalence relation on the set of fuzzy (normal) subgroups of [Formula: see text], which has a ...
L. Kamali Ardekani, B. Davvaz
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The fuzzy subgroups for the nilpotent ( p-group) of (d23 × c2m) for m ≥ 3 [PDF]
Journal of Fuzzy Extension and Applications, 2022 A group is nilpotent if it has a normal series of a finite length n. By this notion, every finite p-group is nilpotent. The nilpotence property is an hereditary one. Thus, every finite p-group possesses certain remarkable characteristics.
Sunday Adebisi +2 more
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ON THE NUMBER OF FUZZY SUBGROUPS AND FUZZY NORMAL SUBGROUPS OF S2, S3 AND A4
South 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
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The Intuitionistic Fuzzy Normal Subgroup [PDF]
International Journal of Fuzzy Logic and Intelligent Systems, 2010 In this paper we continue the study of intuitionistic fuzzy groups by introducing the notion of intuitionistic fuzzy normal subgroup based on intuitionistic fuzzy space as a generalization of fuzzy normal subgroup.
Mohammed F. Marashdeh +1 more
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Some results On Fuzzy Symmetric Sets and Fuzzy subgroups [PDF]
Kirkuk Journal of Science, 2011 The aim of this paper is to introduce the concepts of fuzzy subgroups, fuzzy cosets, normal fuzzy subgroups and we define a new notion for fuzzy symmetric sets, in particular, we prove some results on them.
Haval M. Mahamad, Munir A. Al-khafagi
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On Fundamental Algebraic Characterizations of μ-Fuzzy Normal Subgroups
Journal 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
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A Novel Algebraic Structure of (α,β)-Complex Fuzzy Subgroups
Entropy, 2021 A complex fuzzy set is a vigorous framework to characterize novel machine learning algorithms. This set is more suitable and flexible compared to fuzzy sets, intuitionistic fuzzy sets, and bipolar fuzzy sets.
Hanan Alolaiyan +4 more
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INTUITIONISTIC FUZZY NORMAL SUBGROUP AND INTUITIONISTIC FUZZY ⊙-CONGRUENCES [PDF]
International Journal of Fuzzy Logic and Intelligent Systems, 2009 We unite the two con concepts - normality We unite the two con concepts - normality and congruence - in an intuitionistic fuzzy subgroup setting. In particular, we prove that every intuitionistic fuzzy congruence determines an intuitionistic fuzzy subgroup.
Kul Hur, So-Ra Kim, Pyung-Ki Lim
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On intuitionistic fuzzy characteristic and Frattini subgroups [PDF]
Notes on IFSThis 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
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