Results 11 to 20 of about 18,102 (241)
On Fundamental Theorems of t-Intuitionistic Fuzzy Isomorphism of t-Intuitionistic Fuzzy Subgroups
IEEE Access, 2018 In this paper, we define the concept of the support of t-intuitionistic fuzzy set and prove that it forms a normal subgroup of a given group. We establish a relationship about the normality of any two t-intuitionistic fuzzy subgroups of a group.
Laila Latif +3 more
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Interval-valued Fuzzy Normal Subgroups
International 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
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A Comprehensive Study on Pythagorean Fuzzy Normal Subgroups and Pythagorean Fuzzy Isomorphisms
Symmetry, 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
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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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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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Aggregating fuzzy subgroups and T-vague groups [PDF]
, 2018 Fuzzy subgroups and T-vague groups are interesting fuzzy algebraic structures that have been widely studied. While fuzzy subgroups fuzzify the concept of crisp subgroup, T-vague groups can be identified with quotient groups of a group by a normal fuzzy ...
Boixader Ibáñez, Dionís +2 more
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