Maximal M-fuzzy filters of skew lattices
کد مقاله : 1228-CFIS (R1)
نویسندگان:
محدثه نظیقی *1، محمود بخشی2
1عدم وابستگی
2عضو هیات علمی
چکیده مقاله:
At first, the notion of an $M$-fuzzy filter of a skew lattice is introduced and some examples and properties are given. Particularly, we show that the set of these fuzzy filters forms a complete lattice. Next, the notion of maximal $M$-fuzzy filter of a skew lattice is introduced and some examples and properties are given. The least $M$-fuzzy filter induced by an $M$-fuzzy set of a skew lattice in given and using it some characterizations of maximal $M$-fuzzy filters are obtained. Finally, we prove that any maximal $M$-fuzzy filter of a skew lattice is two-valued.
کلیدواژه ها:
Skew lattice, completely $wedge$-distributive lattice, Maximal $M$-fuzzy filter.
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