Similarity, Cardinality and Entropy for Bipolar Fuzzy Set in the Framework of Penta-valued Representation
This work addresses theoretical enhancements in fuzzy set theory for researchers in computational intelligence, but it appears incremental as it extends existing multi-valued representations.
The paper introduced new similarity, cardinality, and entropy measures for bipolar fuzzy sets and related forms, based on a penta-valued logic framework, and defined a new distance for bounded real intervals.
In this paper one presents new similarity, cardinality and entropy measures for bipolar fuzzy set and for its particular forms like intuitionistic, paraconsistent and fuzzy set. All these are constructed in the framework of multi-valued representations and are based on a penta-valued logic that uses the following logical values: true, false, unknown, contradictory and ambiguous. Also a new distance for bounded real interval was defined.