Results 251 to 260 of about 3,587 (294)

Fuzzy subgroups and anti fuzzy subgroups

Fuzzy Sets and Systems, 1990
Using de Morgan's laws in the calculus of fuzzy sets the author discusses notions dual to level sets of fuzzy sets and to fuzzy groups [cf. \textit{P. S. Das}, J. Math. Anal. Appl. 84, 264-269 (1981; Zbl 0476.20002)]. The de Morgan complement of a fuzzy group is called here ``anti fuzzy group'' (without any algebraic analogy).
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Union of fuzzy subgroups

Fuzzy Sets and Systems, 1996
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V. N. Dixit, S. K. Bhambri, Pratibha Kumar   +2 more
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Orders of fuzzy subgroups and fuzzy p-subgroups

Fuzzy Sets and Systems, 1994
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The annihilator of fuzzy subgroups

Fuzzy Sets and Systems, 2019
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Sergio Ardanza-Trevijano, María Jesús Chasco, Jorge Elorza   +2 more
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Basic fuzzy subgroups

Information Sciences, 1995
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John N. Mordeson, Malay K. Sen
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Fuzzy subgroups of n-ary subgroups

Journal of Mathematical Sciences, 2012
The first fuzzification of an \(n\)-ary algebraic structure was introduced in 2000 by \textit{W. A. Dudek} [Quasigroups Relat. Syst. 7, 45-66 (2000; Zbl 0986.20069)]. The notion of intuitionistic fuzzy set in \(n\)-ary systems was defined and studied also by \textit{W. A. Dudek} [ibid. 13, No. 2, 213-228 (2005; Zbl 1109.20059)].
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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)].
Naseem Ajmal, Swaroop Prajapati
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Fuzzy subgroups as union of two fuzzy subgroups

Fuzzy Sets and Systems, 1993
The problem of writing a fuzzy subgroup of a group \(G\) as a union of two fuzzy subgroups has been discussed by Dixit et al. In this paper an attempt is made to study this problem further in a broader framework of nontrivial decomposition of a fuzzy subgroup.
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Fuzzy subgroups as products

Fuzzy Sets and Systems, 2004
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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.
N. P. Mukherjee, Prabir Bhattacharya
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