Special Fuzzy Boolean Ring

Dr. Dwiraj Talukdar; Dr. Sisir Kumar Rajbongshi

doi:https://doi.org/10.14445/22315381/IJETT-V43P267

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Volume 43 | Number 3 | Year 2017 | Article Id. IJETT-V43P267 | DOI : https://doi.org/10.14445/22315381/IJETT-V43P267

Special Fuzzy Boolean Ring

Dr. Dwiraj Talukdar, Dr. Sisir Kumar Rajbongshi

Citation :

Dr. Dwiraj Talukdar, Dr. Sisir Kumar Rajbongshi, "Special Fuzzy Boolean Ring," International Journal of Engineering Trends and Technology (IJETT), vol. 43, no. 3, pp. 398-400, 2017. Crossref, https://doi.org/10.14445/22315381/IJETT-V43P267

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.

Keywords

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

References

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