Special Fuzzy Boolean Ring

 International Journal of Engineering Trends and Technology (IJETT) © 2017 by IJETT Journal Volume-43 Number-7 Year of Publication : 2017 Authors : Dr. Dwiraj Talukdar, Dr. Sisir Kumar Rajbongshi 10.14445/22315381/IJETT-V43P267

Dr. Dwiraj Talukdar, Dr. Sisir Kumar Rajbongshi " Special Fuzzy Boolean Ring ", International Journal of Engineering Trends and Technology (IJETT), V43(7),398-400 January 2017. ISSN:2231-5381. www.ijettjournal.org. published by seventh sense research group

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

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Keywords
Special fuzzy Boolean ring (SFBR), absolute difference, subs SFBR, Isomorphic SFBR, Divisor of empty fuzzy set