Special Fuzzy Boolean Ring

  IJETT-book-cover  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

MLA 

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.

 References

[1] 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.
[2] Rajbongshi S.K., and D. Talukdar, “Some properties of fuzzy Boolean algebra”, International Journal of Engineering Research and Technology, 2.10 (2013): 1852-1857.
[3] Talukdar D., A Klein -group, a generalization of the Klein 4-group, The Bulletin, GUMA vol-1 (1994),69-79.
[4] 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.
[5] Talukdar D., D-Form of SMARANDACHE GROUPOID, Smarandache Notions Journal, Vol. 11, NO. 1-2-3, Spring 2000, pp. 4-15.
[6] Talukdar D., Fuzzy sub-klein -group, The Journal of Fuzzy Mathematics, vol 4, no 3 (1996), 609-619.
[7] Talukdar D., Klein -group action on a set of Fuzzy subsets, The Journal of Mathematics (1998).
[8] Talukdar D., Mesuring Associativity in a groupoid of natural numbers, The Mathematical Gazette, vol. 30, no. 488 (1996),401-404.
[9] Talukdar D., Some aspects of Inexact groupoids, J. Assam Science Society, 37(2)(1995),83-91.
[10] 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.
[11] Talukdar D., Wreath Absolute Difference of Klein -groups. The Journal of Mathematics (1998).

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