Interval valued $(\in,\ivq)$-fuzzy filters of pseudo $BL$-algebras

Details Interval valued $(\in,\ivq)$-fuzzy filters of pseudo $BL$-algebras Interval valued $(\in,\ivq)$-fuzzy filters of pseudo $BL$-algebras

2008-03-16

arxiv.org/abs/0803.2338v1

Soft Computing 13 (2009), 13-21

Mathematics

Logic

Scientific paper

10.1007/s00500-008-0288-x

We introduce the concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set. By using this new idea, we introduce the notions of interval valued $(\in,\ivq)$-fuzzy filters of pseudo $BL$-algebras and investigate some of their related properties. Some characterization theorems of these generalized interval valued fuzzy filters are derived. The relationship among these generalized interval valued fuzzy filters of pseudo $BL$-algebras is considered. Finally, we consider the concept of implication-based interval valued fuzzy implicative filters of pseudo $BL$-algebras, in particular, the implication operators in Lukasiewicz system of continuous-valued logic are discussed.

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