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On the definition of a fuzzy subgroup. (English) Zbl 0786.20047

Summary: Using the idea of quasi-coincidence of a fuzzy point with a fuzzy set, some new concepts of a fuzzy subgroup are introduced and their acceptibility is investigated.

MSC:

20N25 Fuzzy groups
03E72 Theory of fuzzy sets, etc.
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References:

[1] Abu Osman, M. T., On the direct product of fuzzy subgroups, Fuzzy Sets and Systems, 12, 87-91 (1984) · Zbl 0529.20022
[2] Abu Osman, M. T., On some product of fuzzy subgroups, Fuzzy Sets and Systems, 21, 79-86 (1987) · Zbl 0638.20020
[3] Anthony, J. M.; Sherwood, M., Fuzzy groups redefined, J. Math. Anal. Appl., 69, 124-130 (1979) · Zbl 0413.20041
[4] Bhattacharya, P., Fuzzy subgroups, some characterizations I, J. Math. Anal. Appl., 128, 241-252 (1987) · Zbl 0631.20002
[5] Bhattacharya, P., Fuzzy subgroups, some characterisations II, Inform. Sci., 38, 293-297 (1986) · Zbl 0599.20004
[6] Das, P. S., Fuzzy groups and level subgroups, J. Math. Anal. Appl., 84, 264-269 (1981) · Zbl 0476.20002
[7] Pao Ming, Pu; Ying Ming, Liu, Fuzzy topology I: Neighbourhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl., 76, 571-599 (1980) · Zbl 0447.54006
[8] Mukherjee, N. P.; Bhattacharya, P., Fuzzy normal subgroups and fuzzy cosets, Inform. Sci., 34, 225-239 (1984) · Zbl 0568.20002
[9] Mukherjee, N. P.; Bhattacharya, P., Fuzzy groups: Some group theoretic analogs, Inform. Sci., 39, 247-268 (1986) · Zbl 0613.20001
[10] Rosenfeld, A., Fuzzy groups, J. Math. Anal. Appl., 35, 512-517 (1971) · Zbl 0194.05501
[11] Sherwood, H., Product of fuzzy subgroups, Fuzzy Sets and Systems, 11, 79-89 (1983) · Zbl 0529.20021
[12] Zadeh, L. A., Fuzzy sets, Inform. and Control, 8, 338-353 (1965) · Zbl 0139.24606
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