[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2013.26.1.017

BIPOLAR-VALUED FUZZY IDEAL EXTENSIONS OF BCK-ALGEBRAS

Jeong, Won Kyun (Faculty of Liberal Education Kyungpook National University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.26, no.1, 2013 , pp. 17-27 More about this Journal

Abstract

The notions of the extensions of bipolar fuzzy ideals, bipolar fuzzy prime ideals and bipolar fuzzy commutative ideals in BCK-algebras are introduced, and several properties are investigated.

Keywords

bipolar fuzzy set; bipolar fuzzy ideal; positive implicative BCK-algebra;

Citations & Related Records

Reference

1	Y. Imai and K. Iseki, On axiom systems of propositional calculi XIV, Proc. Japan Academy 42 (1966), 19-22.
2	K. Iseki and S. Tanaka, An introduction to theory of BCK-algebras, Math. Japon. 23 (1978), 1-26.
3	W. K. Jeong, Fuzzy ideal extensions of BCK-algebras, Far East J. Math. Sci. 7(1) (2002), 67-75.
4	Y. B. Jun, Fuzzy topological BCK-algebras, Math. Japon. 38 (1993), 1059-1063.
5	K. J. Lee, Bipolar fuzzy subalgebras and bipolar fuzzy ideals of BCK/BCI-algebras, Bull. Malays. Math. Sci. Soc. 32 (2009), 361-373.
6	K. M. Lee, Bipolar-valued fuzzy sets and their operations, Proc. Int. Conf. on Intelligent Technologies, Bangkok, Thailand (2000), 307-312.
7	J. Meng and Y. B. Jun, BCK-algebras, Kyungmoonsa , Seoul, Korea, 1994.
8	O. G. Xi, Fuzzy BCK-algebras, Math. Japon. 36 (1991), 935-942.
9	X. Y. Xie, Fuzzy ideals extensions of semigroups, Soochow J. Math. 27 (2001), 125-138.
10	L. A. Zadeh, Fuzzy sets, Inform and Control. 8 (1965), 338-353. DOI