Fuzzy ideals of pseudo-BCK Algebras

Demonstratio mathematica

article

Grzegorz Dymek¹  Andrzej Walendziak² 

[1] Faculty of Mathematics and Natural Sciences, The John Paul II Catholic University of Lublin;Institute of Mathematics and Physics, Siedlce University

关键词: pseudo-BCK algebra;    fuzzy ideal;    Noetherian (Artinian) pseudo-BCK algebra;   

DOI  :  10.1515/dema-2013-0346

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

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.

【 授权许可】

CC BY