Special Fuzzy Boolean Ring

Dwiraj Talukdar, Sisir Kumar Rajbongshi · International Journal of Engineering Trends and Technology · 2017

The set of all mappings from a finite set X into a closed interval   0,1 is the set of fuzzy sets denoted by F .This set F is closed under the binary operation absolute difference,  of fuzzy set F satisfies the axioms, closure, commutativity, identity and inverse law under the binary operation  .The associative law is not satisfied by F .In this article, we wish to introduce the subset B of F with binary operation absolute difference  and fuzzy intersection  , as a special fuzzy Boolean ring briefly denoted by SFBR.

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