A Study on Anti Fuzzy B Ideals in Homomorphism and Cartesian product on B-Algebras

International Journal of Computer & Organization Trends  (IJCOT)          
© 2015 by IJCOT Journal
Volume - 5 Issue - 2
Year of Publication : 2015
AuthorsS.Kailasavalli, C.Yamini


S.Kailasavalli, C.Yamini"A Study on Anti Fuzzy B Ideals in Homomorphism and Cartesian product on B-Algebras", International Journal of Computer & organization Trends (IJCOT), V5(2):51-56 Mar - Apr 2015, ISSN:2249-2593, www.ijcotjournal.org. Published by Seventh Sense Research Group.

Abstract - In this paper, anti fuzzy B-ideals and anti fuzzy B algebras concepts are introduced and proved some results Homomorphism and anti homomorphism functions are satisfied while applying the anti fuzzy B-ideal concept. Anti Fuzzy B-ideal is also applied in Cartesian product.


[1] R. Biswas, Fuzzy subgroups and anti fuzzy subgroups, Fuzzy sets & systems, 35(1990), 121-124.
[2] Jung R. Cho and H.S. Kim, On B-algebras and quasi groups, Quasi groups and related systems 7 (2001) 1-6.
[3] Q. P. Hu and X. Li, on BCH-algebras, Mathematics Seminar Notes 11 (1983), 313-320.
[4] K. Iseki and S. Tanaka, An introduction to the theory of BCK-algebras, Math, Japonica 23 (1978), no. 1, 1-26.
[5] K. Iseki, On BCI-algebras, Mathematics Seminar Notes 8 (1980), 125-130.
[6] Y. B. Jun, E.H.Roh and H.S. Kim, On BH-algebras, Sci.Mathematical 1 (1998), 347-354.
[7] J.Meng and Y.B. Jun, BCK-algebras, Kyung Moon Sa. Co.,Seoul, 1994.
[8] J.Neggers and H.S. Kim, On d-algebras, Math. Slovaca 49 (1999), 19-26.
[9] H.K.Park and H.S.Kim, On quadratic B-algebras, Quasi groups and related systems 7 (2001), 67-72.
[10] Sun Shin Ahn and Keumseong Bang, On Fuzzy Sub algebras in B-algebras, Commun. Korean Math.Soc.18(2003), No.3, pp. 429-437.
[11] C. Yamini and S. Kailasavalli, Fuzzy B ideals on B algebras (2014).
[12] Zadeh. L.A., Fuzzy sets, Inform .control, 8 (1965), 338-353.

B-algebras, B-ideals, Fuzzy B-ideals, Anti fuzzy B ideals, Anti fuzzy B-algebras Homomorphism, Anti homomorphism, Cartesian product.