Fuzzy ideals of pseudo-BCK algebras

نویسندگان

  • Grzegorz Dymek
  • Andrzej 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 pseudoBCK algebra are provided. Finally, characterizations of Noetherian pseudo-BCK algebras and Artinian pseudo-BCK algebras via fuzzy ideals are given.

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تاریخ انتشار 2010