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Fuzzy normal subgroups and fuzzy cosets

Information Sciences, 1984
The concept of fuzzy subgroup [cf. \textit{A. Rosenfeld}, J. Math. Anal. Appl. 35, 512-517 (1971; Zbl 0194.055); \textit{P. S. Das}, J. Math. Anal. Appl. 84, 264-269 (1981; Zbl 0476.20002)] is investigated. Several (fuzzy type) extensions of known results for normal subgroups, quotient groups and finite groups are obtained.
Mukherjee, N. P., Bhattacharya, Prabir
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Fuzzy cosets and fuzzy normal subgroups

Information Sciences, 1992
The paper discusses properties of fuzzy normal groups (e.g. homomorphic images). The manuscript of the paper is from 1987 (``sup property'' is assumed!). Current results and recent literature can be found in the paper by \textit{I. J. Kumar, P. K. Saxena} and \textit{P. Yadav} [Fuzzy Sets Syst. 46, 121-132 (1992; Zbl 0776.20025)].
Ajmal, Naseem, Prajapati, Anand Swaroop
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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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Fuzzy subgroups: Some characterizations. II

Information Sciences, 1986
The paper solves a problem mentioned by \textit{P. S. Das} [J. Math. Anal. Appl. 84, 264--269 (1981; Zbl 0476.20002)]: Given a chain of groups bounded above by \(G\), find a fuzzy group on \(G\), whose level subgroups (cuts) form this chain. [Part I, J. Math. Anal. Appl. 128, 241--252 (1987; Zbl 0631.20002).]
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Semidirect products OF fuzzy subgroups

Fuzzy Sets and Systems, 1985
A semidirect product of two fuzzy groups is defined and examined if it is a fuzzy subgroup of a suitable product of groups. The converse problem is discussed for cyclic groups.
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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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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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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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Free Fuzzy Subgroups and Fuzzy Subgroup Presentations

2005
John N. Mordeson   +2 more
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