Mukherjee, N. P.; Bhattacharya, Prabir Fuzzy normal subgroups and fuzzy cosets. (English) Zbl 0568.20002 Inf. Sci. 34, 225-239 (1984). The concept of fuzzy subgroup [cf. A. Rosenfeld, J. Math. Anal. Appl. 35, 512-517 (1971; Zbl 0194.055); 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. Reviewer: J.Drewniak Cited in 8 ReviewsCited in 73 Documents MSC: 20A05 Axiomatics and elementary properties of groups 20E07 Subgroup theorems; subgroup growth Keywords:fuzzy quotient group; coset; level subgroup; fuzzy subgroup Citations:Zbl 0194.055; Zbl 0476.20002 PDFBibTeX XMLCite \textit{N. P. Mukherjee} and \textit{P. Bhattacharya}, Inf. Sci. 34, 225--239 (1984; Zbl 0568.20002) Full Text: DOI References: [1] P. Bhattacharya, Fuzzy subgroups: Some characterisations, J. Math. Anal. Appl.; P. Bhattacharya, Fuzzy subgroups: Some characterisations, J. Math. Anal. Appl. · Zbl 0631.20002 [2] P. Bhattacharya, Fuzzy subgroups: Some characterisations II, submitted for publication.; P. Bhattacharya, Fuzzy subgroups: Some characterisations II, submitted for publication. [3] Das, P. S., Fuzzy groups and level subgroups, J. Math. Anal. Appl., 84, 264-269 (1981) · Zbl 0476.20002 [4] Rosenfeld, A., Fuzzy groups, J. Math. Anal. Appl., 35, 512-517 (1971) · Zbl 0194.05501 [5] A. Rosenfeld, Fuzzy graphs, in Fuzzy Sets and Their Applications; A. Rosenfeld, Fuzzy graphs, in Fuzzy Sets and Their Applications [6] (Yager, R. R., Fuzzy Sets and Possibility Theory (1982), Pergamon: Pergamon New York) [7] Zadeh, L. A., Fuzzy sets, Inform and Control, 8, 338-353 (1965) · Zbl 0139.24606 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.