Results 11 to 20 of about 80,802 (266)
A Study of (λ,μ)-Fuzzy Subgroups [PDF]
Journal of Applied Mathematics, 2013 We deal with topics regarding (λ,μ)-fuzzy subgroups, mainly (λ,μ)-fuzzy cosets and (λ,μ)-fuzzy normal subgroups. We give basic properties of (λ,μ)-fuzzy subgroups and present some results related to (λ,μ)-fuzzy cosets and (λ,μ)-fuzzy normal subgroups.
Yuying Li, Xuzhu Wang, Liqiong Yang
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Bipolar-Valued Fuzzy Subgroups, Normal Subgroups, and Homomorphisms on Dib’s Fuzzy Space
European Journal of Pure and Applied MathematicsFuzzy group theory has evolved beyond single-valued memberships to account for dual polarity and uncertainty. Building on Dib’s fuzzy space and bipolar-valued fuzzy sets, we develop a unified algebraic theory of bipolar-valued fuzzy (BVF) subgroups, including BVF normal subgroups and BVF homomorphisms, via a BVF binary operation (BVFBO) on a BVF-space.
Fadi Al-Zu’bi +4 more
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The Characterization of Substructures of γ-Anti Fuzzy Subgroups with Application in Genetics
Discrete Dynamics in Nature and Society, 2022 Fuzzy and anti fuzzy normal subgroups are the current instrument for dealing with ambiguity in various decision-making challenges. This article discusses γ-anti fuzzy normal subgroups and γ-fuzzy normal subgroups.
Kalaichelvan Kalaiarasi +5 more
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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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Bipolar Complex Fuzzy Subgroups
Mathematics, 2022 In this study, firstly, we interpret the level set, support, kernel for bipolar complex fuzzy (BCF) set, bipolar complex characteristic function, and BCF point.
Xiaopeng Yang +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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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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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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A Study of Normal Fuzzy Subgroups and Characteristic Fuzzy Subgroups of a Fuzzy Group [PDF]
Fuzzy Information and Engineering, 2012 \textit{A. Rosenfeld} [in J. Math. Anal. Appl. 35, 512-517 (1971; Zbl 0194.05501)] initiated the study of fuzzy group theory by introducing the concepts of fuzzy subgroupoids and fuzzy subgroups. Then, several authors studied the notion of fuzzy normal subgroups.
Ajmal, Naseem, Jahan, Iffat
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