BIPOLAR FUZZY TRANSLATIONS IN BCK/BCI-ALGEBRAS

  • Jun, Young Bae (Department of Mathematics Education (and RINS) Gyeongsang National University) ;
  • Kim, Hee Sik (Department of Mathematics Hanyang University) ;
  • Lee, Kyoung Ja (Department of Mathematics Education Hannam University)
  • 투고 : 2009.05.19
  • 심사 : 2009.08.14
  • 발행 : 2009.09.30

초록

A bipolar fuzzy translation and a bipolar fuzzy S-extension of a bipolar fuzzy subalgebra in a BCK/BCI-algebra are introduced, and related properties are investigated.

키워드

참고문헌

  1. Y. Huang, BCI-algebra, Science Press, Beijing, 2006.
  2. Y. B. Jun and S. Z. Song, Subalgebras and closed ideals of BCH-algebras based on bipolar-valued fuzzy sets, Sci. Math. Jpn. 68 (2008), no. 2, 287-297.
  3. K. J. Lee, Bipolar fuzzy subalgerbas and bipolar fuzzy ideals of BCK/BCI-algerbas, Bull. Malays. Math. Sci. Soc. (in press).
  4. K. M. Lee, Bipolar-valued fuzzy sets and their operations, Proc. Int. Conf. on Intelligent Technologies, Bangkok, Thailand (2000), 307-312.
  5. K. M. Lee, Comparison of interval-valued fuzzy sets, intuitionistic fuzzy sets, and bipolar-valued fuzzy sets, J. Fuzzy Logic Intelligent Systems 14 (2004), no. 2, 125-129.
  6. J. Meng and Y. B. Jun, BCK-algebras, Kyungmoon Sa Co. Seoul, 1994.