Results 141 to 150 of about 26,305 (177)
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Fuzzy subgroups of n-ary subgroups
Journal of Mathematical Sciences, 2012The 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 Sets and Systems, 2004
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Information Sciences, 1995
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Mordeson, John N., Sen, M. K.
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Mordeson, John N., Sen, M. K.
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Fuzzy subgroups as union of two fuzzy subgroups
Fuzzy Sets and Systems, 1993The 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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Generated fuzzy subgroup: a modification
Fuzzy Sets and Systems, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sultana, Nusrat, Ajmal, Naseem
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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 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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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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2019
In this paper, the notations of $ $-Q-fuzzy subset and $ $-Q-fuzzy subgroup are introduced, and necessary properties related to these two concepts are proven. In the past part in this work, the effect of the $ $-Q-fuzzy subgroup on the image and inverse-image under group anti-homomorphism are studied.
Salih, Muwafaq, Ahmed, Delbrin
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In this paper, the notations of $ $-Q-fuzzy subset and $ $-Q-fuzzy subgroup are introduced, and necessary properties related to these two concepts are proven. In the past part in this work, the effect of the $ $-Q-fuzzy subgroup on the image and inverse-image under group anti-homomorphism are studied.
Salih, Muwafaq, Ahmed, Delbrin
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Fuzzy Sets and Systems, 1993
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Fuzzy Sets and Systems, 1992
The author defines fuzzy Sylow \(p\)-subgroups of a group \(G\). Some of the results are: (i) A subgroup of a finite group \(G\) is a Sylow \(p\)-subgroup iff its characteristic function is a fuzzy Sylow \(p\)-subgroup of \(G\), (ii) If \(\mu\), \(\theta\) are two fuzzy Sylow \(p\)-subgroups of \(G\) such that \(\text{Im }\mu = \text{Im }\theta\), then
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The author defines fuzzy Sylow \(p\)-subgroups of a group \(G\). Some of the results are: (i) A subgroup of a finite group \(G\) is a Sylow \(p\)-subgroup iff its characteristic function is a fuzzy Sylow \(p\)-subgroup of \(G\), (ii) If \(\mu\), \(\theta\) are two fuzzy Sylow \(p\)-subgroups of \(G\) such that \(\text{Im }\mu = \text{Im }\theta\), then
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