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⊤-Fuzzy Subgroups with Thresholds

2009
This paper mainly studies the ⊤-fuzzy subgroups with thresholds. Product concepts of fuzzy sets are generalized to t-norm and properties of ⊤-fuzzy subgroups with thresholds are discussed.
Bao Qing Hu, Yan Qing Niu
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The schnittaxiom and unions of fuzzy subgroups

Information Sciences, 1993
It was proved by \textit{V. N. Dixit, R. Kuman} and \textit{N. Ajmal} [Fuzzy Sets Syst. 27, 359-371 (1990; Zbl 0728.20061)] that a fuzzy group can usually be realized as a union of two proper fuzzy subgroups (contradictory to the crisp case). This paper gives a necessary and sufficient condition for the union of an arbitrary family of fuzzy subgroups ...
K. C. Gupta, Suryansu Ray
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On product of fuzzy subgroups

Fuzzy Sets and Systems, 1999
Products of fuzzy groups were considered, e.g., by \textit{H.~Sherwood} [Fuzzy Sets Syst. 11, 79--89 (1983; Zbl 0529.20021)], \textit{P.~Bhattacharya}, \textit{N.~P.~Mukherjee} [Inf. Sci. 36, 267--282 (1985; Zbl 0599.20003)], \textit{Y.~Alkhamees} [J. Fuzzy Math. 6, No. 2, 307--318 (1998; Zbl 0908.20044)].
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Primary fuzzy subgroups

Fuzzy Sets and Systems, 2000
Orders of fuzzy subgroups were introduced by \textit{S.~Ray} [Inf. Sci. 69, No.~3, 185-200 (1993; Zbl 0784.20039)] and examined by \textit{J.-G.~Kim} [Fuzzy Sets Syst. 61, No.~2, 225-230 (1994; Zbl 0824.20059); Math. Jap. 39, No.~2, 357-360 (1994; Zbl 0814.20063)] and \textit{J.-G. Kim, H.-D. Kim} [ibid. 46, No.~1, 163-168 (1997; Zbl 0882.20047)].
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Fuzzy congruences and fuzzy normal subgroups

Information Sciences, 1992
The paper deals with fuzzy congruences on a group [cf. \textit{P. Bhattacharya} and \textit{N. P. Mukherjee}, ibid. 36, 267-282 (1985; Zbl 0599.20003)] and states a one-to-one correspondence between them and normal fuzzy subgroups (which is analogous to the group case). A similar result was recently presented by \textit{B. B.
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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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Some characterizations of fuzzy subgroups: via fuzzy \(p^*\)-subsets and fuzzy \(p^*\)-subgroups

Fuzzy Sets Syst., 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jae-Gyeom Kim, Han-Doo Kim
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