\((\in,\in\vee\;q)\)-fuzzy subgroup. (English) Zbl 0870.20055
Summary: The definition of an \((\in,\in\vee\;q)\)-fuzzy subgroups is slightly modified and some of the fundamental properties of such fuzzy subgroups are obtained.
Keywords:
fuzzy subgroupsReferences:
| [1] | Bhakat, S. K.; Das, P., On the definition of a fuzzy subgroup, Fuzzy Sets and Systems, 51, 235-241 (1992) · Zbl 0786.20047 |
| [2] | Bhattacharya, P., Fuzzy subgroups, some characterization., Inform. Sci., 38, 293-297 (1986) · Zbl 0599.20004 |
| [3] | Bhattacharya, P., Fuzzy subgroups, some characterization II, J. Math. Anal. Appl., 128, 241-252 (1987) · Zbl 0631.20002 |
| [4] | Das, P. S., Fuzzy subgroups and level subgroups, J. Math. Anal. Appl., 84, 264-269 (1981) · Zbl 0476.20002 |
| [5] | Dixit, V. N.; Kumar, R.; Ajmal, N., Level subgroups and union of fuzzy subgroups, Fuzzy Sets and Systems, 37, 359-371 (1990) · Zbl 0728.20061 |
| [6] | Ming, P. P.; Ming, L. Y., Fuzzy topologyl: Neighbourhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl., 76, 571-599 (1980) · Zbl 0447.54006 |
| [7] | Mukherjee, N. P.; Bhattacharya, P., Fuzzy normal subgroups and fuzzy cosets, Inform. Sci., 39, 225-239 (1984) · Zbl 0568.20002 |
| [8] | Mukherjee, N. P.; Bhattacharya, P., Fuzzy groups: some group theoretic analogs, Inform Sci., 39, 247-268 (1986) · Zbl 0613.20001 |
| [9] | Rosenfeld, A., Fuzzy subgroups, J. Math. Anal. Appl., 35, 512-517 (1971) · Zbl 0194.05501 |
| [10] | Zadeh, L. A., Fuzzy sets, Inform. 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.
