Special Fuzzy Boolean Ring
|International Journal of Engineering Trends and Technology (IJETT)||
|© 2017 by IJETT Journal|
|Year of Publication : 2017|
|Authors : Dr. Dwiraj Talukdar, Dr. Sisir Kumar Rajbongshi
|DOI : 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
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.
 Rajbongshi S.K., and D. Talukdar, “Some Aspects of fuzzy Boolean algebra formed by fuzzy subsets”, International Journal of Advanced Research in Computer Science and Software Engineering, 3.7 (2013): 1-8.
 Rajbongshi S.K., and D. Talukdar, “Some properties of fuzzy Boolean algebra”, International Journal of Engineering Research and Technology, 2.10 (2013): 1852-1857.
 Talukdar D., A Klein -group, a generalization of the Klein 4-group, The Bulletin, GUMA vol-1 (1994),69-79.
 Talukdar D., and S.K. Rajbongshi, “An Introduction to a Family of Fuzzy subsets forming Boolean algebra”, International Journal of Computer Applications 68.24 (2013): 1-6.
 Talukdar D., D-Form of SMARANDACHE GROUPOID, Smarandache Notions Journal, Vol. 11, NO. 1-2-3, Spring 2000, pp. 4-15.
 Talukdar D., Fuzzy sub-klein -group, The Journal of Fuzzy Mathematics, vol 4, no 3 (1996), 609-619.
 Talukdar D., Klein -group action on a set of Fuzzy subsets, The Journal of Mathematics (1998).
 Talukdar D., Mesuring Associativity in a groupoid of natural numbers, The Mathematical Gazette, vol. 30, no. 488 (1996),401-404.
 Talukdar D., Some aspects of Inexact groupoids, J. Assam Science Society, 37(2)(1995),83-91.
 Talukdar D., The notions of the SMARANDACHE GROUP and the SMARANDACHE BOOLEAN RING, Smarandache Notions Journal, Vol. 11, NO. 1-2-3, Spring 2000, pp. 16-23.
 Talukdar D., Wreath Absolute Difference of Klein -groups. The Journal of Mathematics (1998).
Special fuzzy Boolean ring (SFBR), absolute difference, subs SFBR, Isomorphic SFBR, Divisor of empty fuzzy set