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Groups with Fuzzy Operations (F-groups)
S. S. Davidov and J. Hatami
Abstract: In this paper, we are going to develop the notion of groups with fuzzy operations (F-groups). An F-group is a set equipped with a fuzzy equality and a binary fuzzy operation. In the rest, we investigate the notions of fuzzy subgroup, fuzzy normal subgroup and isomorphism theorems in F-groups setting.
Keywords: F-algebra, F-group, Fuzzy subgroup, Fuzzy normal subgroup, Isomorphism theorems.
Pages: 154 – 165 | Full PDF Paper