, Andrzej Walendziak FUZZY IDEALS OF PSEUDO - BCK ALGEBRAS

نویسندگان

  • Grzegorz Dymek
  • Andrzej Walendziak
  • C. C. Chang
  • G. Dymek
  • A. Walendziak
چکیده

Characterizations of fuzzy ideals of a pseudo-BCK algebra are established. Conditions for a fuzzy set to be a fuzzy ideal are given. Given a fuzzy set μ, the least fuzzy ideal containing μ is constructed. The homomorphic properties of fuzzy ideals of a pseudo-BCK algebra are provided. Finally, characterizations of Noetherian pseudo-BCK algebras and Artinian pseudo-BCK algebras in terms of fuzzy ideals are given.

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تاریخ انتشار 2011