| 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. |
| وضعیت: پذیرفته شده برای ارائه شفاهی |