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Fuzzy orders relative to fuzzy subgroups

Information Sciences, 1994
Let \(G\) denote a group and \(e\) the identity of \(G\). Let \(A\) be a fuzzy subgroup of \(G\) and let \(x\in G\). The smallest positive integer \(n\) such that \(A(x^n)=A(e)\) is called the fuzzy order of \(G\) with respect to \(A\) and is denoted by \(\text{FO}_A(x)\).
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On preferential Sylow fuzzy subgroups

Quaestiones Mathematicae, 2017
In this paper, for a prime p, we propose some plausible denitions for the notion of Sylow fuzzy p-subgroup of a nite group. We derive a number of results for nite fuzzy groups using one of the proposed denitions. We also discuss some of the relationships between various proposed denitions for suitability, including the crisp case, with some examples ...
B.B. Makamba, V. Murali
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Fuzzy subgroups having the property

Information Sciences, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON i-v FUZZY SUBGROUPS

Fundamenta Informaticae, 1996
We define level subsets of an i–v fuzzy subset of a set, level subgroups of a group and prove some propositions about level subgroups.
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The homomorphic image of a fuzzy subgroup is always a fuzzy subgroup

Fuzzy Sets and Systems, 1989
Let L be any complete and completely distributive lattice with 0 and 1 and X a group. \(\mu\) : \(X\mapsto L\) is called L-fuzzy group on X iff (i) \(\mu\) (xy)\(\geq \mu (x)\wedge \mu (y)\) and (ii) \(\mu (x^{-1})\geq \mu (x)\) \(\forall x,y\in X\).
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Some characterizations of fuzzy subgroups: via fuzzy \(p^*\)-subsets and fuzzy \(p^*\)-subgroups

Fuzzy Sets Syst., 1999
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Jae-Gyeom Kim, Han-Doo Kim
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Lattices of fuzzy subgroupoids, fuzzy submonoids, and fuzzy subgroups

Information Sciences, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Free Fuzzy Subgroups and Fuzzy Subgroup Presentations

2005
John N. Mordeson   +2 more
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