Results 221 to 230 of about 3,825 (258)

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 products

Fuzzy Sets and Systems, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Generated fuzzy subgroup: a modification

Fuzzy Sets and Systems, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nusrat Sultana, Naseem Ajmal
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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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Frattini fuzzy subgroups of fuzzy groups

2019
Este artículo continúa el estudio de la teoría de grupos difusos que se ha explorado a lo largo del tiempo. Proponemos subgrupos difusos máximos y subgrupos difusos de Frattini de grupos difusos como extensiones de subgrupos máximos y subgrupos de Frattini de grupos clásicos.
Paul Augustine Ejegwa, J. A. Otuwe
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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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