DOUBLY SIMULATIVE WFI-ALGEBRAS

  • Jun, Young-Bae (Department of Mathematics Education, Gyeongsang National University) ;
  • Lee, Kyoung-Ja (Department of Mathematics Education, Hannam University) ;
  • Park, Chul-Hwan (Department of Mathematics, University of Ulsan)
  • Published : 2009.01.31

Abstract

Characterizations of simulative WFI-algebras are provided. The notion of commutators, doubly simulative parts, doubly simulative WFI-algebras, and WFI-morphisms are introduced. Using the notion of commutators, the conditions for a WFI-algebra to be simulative are given. Characterizations of doubly simulative WFI-algebras are discussed. Using the notion of doubly simulative WFI-algebras, a commutative pomonoid is established.

Keywords

References

  1. Y. B. Jun, Weak fuzzy implication algebras, Adv. Stud. Contemp. Math. 7 (2003), no. 1, 41–52.
  2. Y. B. Jun, Perfect and concrete filters of WFI-algebras, Bull. Korean Math. Soc. (to appear).
  3. Y. B. Jun, Weak and concrete filters of WFI-algebras, J. Appl. Math. Comput. (submitted).
  4. Y. B. Jun, C. H. Park and E. H. Roh, Characterizations of filters and ideals on WFI-algebras, Honam Math. J. 28 (2006), no. 4, 471–484.
  5. Y. B. Jun and S. Z. Song, Simulative and mutant WFI-algebras, HonamMath. J. 28 (2006), no. 4, 559–572.
  6. Z. Li and C. Zheng, Relations between fuzzy implication algebra and MV -algebra, J. Fuzzy Math. 9 (2001), no. 1, 201–205.
  7. W. M. Wu, Fuzzy implication algebras, Fuzzy Systems Math. 4 (1990), no. 1, 56–63.