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Fuzzy congruences and fuzzy normal subgroups
Information Sciences, 1992The 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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The lattice of fuzzy normal subgroups is modular
Information Sciences, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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AIP Conference Proceedings, 2015
In this paper, we continue the study of complex fuzzy groups by introducing the notion of complex fuzzy normal subgroup based on complex fuzzy space as a generalisation of fuzzy normal subgroup in the sense of Dib.
Abdallah Al-Husban +2 more
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In this paper, we continue the study of complex fuzzy groups by introducing the notion of complex fuzzy normal subgroup based on complex fuzzy space as a generalisation of fuzzy normal subgroup in the sense of Dib.
Abdallah Al-Husban +2 more
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Fuzzy Sets and Systems, 1998
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Dib, K. A., Hassan, A. A. M.
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Dib, K. A., Hassan, A. A. M.
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Fuzzy cosets and fuzzy normal subgroups
Information Sciences, 1992The 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 normal, quasinormal and maximal subgroups
Fuzzy Sets and Systems, 2000openaire +3 more sources
Normal fuzzy -subgroups in near-rings
Fuzzy Sets and Systems, 2001The authors define and study normal fuzzy \(R\)-subgroups in near-rings, that is, systems whose addition is a group, whose multiplication is a semigroup, having a one-sided distributive law.
Kim, Kyung Ho, Jun, Young Bae
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The normal intuitionistic fuzzy subgroups
2010 IEEE International Conference on Intelligent Computing and Intelligent Systems, 2010In this paper,we present the concept of (α, β)-normal intuitionistic fuzzy subgroup. And we show that, in 16 kinds of (α, β)-normal intuitionistic fuzzy subgrous, the significant ones are the (∈,∈)-normal intuitionistic fuzzy subgroup, the (∈, ∈ ∨q)- normal intuitionistic fuzzy subgroup and the (∈ ∧q, ∈)- normal intuitionistic fuzzy subgroup.
null Bin Yu, Xue-Hai Yuan
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Normality and congruence in fuzzy subgroups
Information Sciences, 1992Fuzzy normal subgroups [cf. \textit{W. M. Wu}, Math. Appl. 1, No. 3, 9-20 (1988; Zbl 0668.20026), \textit{M. Akgül}, J. Math. Anal. Appl. 133, 93- 100 (1988; Zbl 0652.20002), \textit{M. Asaad}, Fuzzy Sets Syst. 39, 323-328 (1991; Zbl 0718.20036)] and fuzzy congruence relations [cf. \textit{P. Bhattacharya}, \textit{N. P. Mukherjee}, Inf. Sci.
Makamba, B. B., Murali, V.
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Homomorphisms and fuzzy (fuzzy normal) subgroups
Fuzzy Sets and Systems, 1991By using the idea of a level subgroup of a fuzzy subgroup a different proof of Theorem 1 of Eroglu is given. Also a generalization of Theorem 3.9 of Mukherjee and Bhattacharya is made by dropping the assumption that the group \(G\) is finite.
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