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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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Nilpotent Fuzzy Subgroups [PDF]
Mathematics, 2018 In this paper, we introduce a new definition for nilpotent fuzzy subgroups, which is called the good nilpotent fuzzy subgroup or briefly g-nilpotent fuzzy subgroup.
Elaheh Mohammadzadeh, Rajab Ali Borzooei
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A Novel Algebraic Structure of (α,β)-Complex Fuzzy Subgroups [PDF]
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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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.
Tahir Mahmood +2 more
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On an equivalence of fuzzy subgroups III [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 This paper is the third in a series of papers studying equivalence classes of fuzzy subgroups of a given group under a suitable equivalence relation. We introduce the notion of a pinned flag in order to study the operations sum, intersection and union ...
V. Murali, B. B. Makamba
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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.
Abdul Razaq +2 more
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On some algebraic aspects of η-intuitionistic fuzzy subgroups
Journal of Taibah University for Science, 2020 In this study, we presents the idea of $\eta $-intuitionistic fuzzy subgroup (IFSG) defined on $\eta $-intuitionistic fuzzy set (IFS). Furthermore, we prove that every IFSG is an $\eta $-IFSG.
, Saba Ansari, Abdul Razaq
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Pythagorean and fermatean fuzzy sub-group redefined in context of T ̃-norm and S ̃-conorm [PDF]
Journal of Fuzzy Extension and Applications, 2023 This paper aims to study Pythagorean and Fermatean Fuzzy Subgroups (FFSG) in the context of -norm and -conorm functions. The paper examines the extensions of fuzzy subgroups, specifically "Pythagorean Fuzzy Subgroups (PFSG)" and "FFSG", along with ...
Vishnu Mishra +3 more
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On Bipolar Complex Fuzzy Hv-subgroups [PDF]
Journal of Hyperstructures, 2023 The target of this article is to peruse bipolar complex fuzzy subhypergroups (Hv−subgroups) by employing bipolarcom-plex fuzzy sets and hyperstructures besides of this some related properties are debated.Furthermore, the notion of bipolar complex anti ...
Sanem Yavuz +2 more
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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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