Crossing cubic structures as an extension of bipolar fuzzy sets
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As an extension of bipolar-valued fuzzy sets, the notion of (inner, outer) crossing cubic structures is introduced by using the notion of ${\mathcal N}$-functions and interval-valued fuzzy sets, and related properties are investigated. The same direction order and the opposite direction order in crossing cubic structures are defined, and several properties are discussed. Also, S-union, S-intersection, O-union and O-intersection of crossing cubic structures are introduced, and their related properties are considered. Crossing cubic subalgebras are studied by applying a crossing cubic structure to BCK/BCI-algebras.
Abstract
As an extension of bipolar-valued fuzzy sets, the notion of (inner, outer) crossing cubic structures is introduced by using the notion of ${\mathcal N}$-functions and interval-valued fuzzy sets, and related properties are investigated. The same direction order and the opposite direction order in crossing cubic structures are defined, and several properties are discussed. Also, S-union, S-intersection, O-union and O-intersection of crossing cubic structures are introduced, and their related properties are considered. Crossing cubic subalgebras are studied by applying a crossing cubic structure to BCK/BCI-algebras.
참고문헌 (5)
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