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Fuzzy orders relative to fuzzy subgroups
Information Sciences, 1994Let \(G\) 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, 2017In 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, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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, 1989Let 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., 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jae-Gyeom Kim, Han-Doo Kim
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Lattices of fuzzy subgroupoids, fuzzy submonoids, and fuzzy subgroups
Information Sciences, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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FUZZY COSETS OF FUZZY SUBGROUPS RELATIVE TO FUZZY SUBGROUPS
2012LAN SHU, ZHAOHAO WANG
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Free Fuzzy Subgroups and Fuzzy Subgroup Presentations
2005John N. Mordeson +2 more
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Rosenfeld's fuzzy subgroups with interval-valued membership functions
Fuzzy Sets and Systems, 1994Ranjit Biswas
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