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The relation between intuitionistic weight and intuitionistic fuzzy subgroup. (Chinese. English summary) Zbl 1424.20094

Summary: Intuitionistic weight is introduced in the paper. Intuitionistic fuzzy subgroups can be characterized by making use of intuitionistic weight and the method is given. Furthermore, we give a concrete description by using the notion of intuitionistic weight. We prove that intuitionistic weight can describe intuitionistic fuzzy subgroups, and on the contrary, intuitionistic fuzzy subgroups also can describe intuitionistic weight. In the end, we discussed the one to one relation between intuitionistic weight and intuitionistic fuzzy subgroup.

MSC:

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