Generalizations of fuzzy subalgebras in BCK/BCI-algebras

  • Authors:
  • Young Bae Jun

  • Affiliations:
  • Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Republic of Korea

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2009

Quantified Score

Hi-index 0.09

Visualization

Abstract

More general form of the notion of quasi-coincidence of a fuzzy point with a fuzzy set is considered, and generalizations of results in the papers [Y. B. Jun, On (@a,@b)-fuzzy subalgebras of BCK/BCI-algebras, Bull. Korean Math. Soc. 42 (4) (2005) 703-711; Y. B. Jun, Fuzzy subalgebras of type (@a,@b) in BCK/BCI-algebras, Kyungpook Math. J. 47 (2007) 403-410] are discussed. The notions of (@?,q"k)-fuzzy subalgebras and (@?,@?@?q"k)-fuzzy subalgebras in a BCK/BCI-algebra X are introduced, and several properties are investigated. Characterizations of (@?,@?@?q"k)-fuzzy subalgebra in a BCK/BCI-algebra X are discussed.