JOURNAL ARTICLE
Fuzzy ideals of pseudo-BCK Algebras
Grzegorz DymekAndrzej Walendziak
Year: 2012 Journal: Demonstratio Mathematica Vol: 45 (1)Pages: 1-15 Publisher: De Gruyter Open
Abstract
Abstract 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.
Keywords:
Mathematics Fuzzy logic Algebra over a field Pure mathematics Artificial intelligence Computer science
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9
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1.00
FWCI (Field Weighted Citation Impact)
14
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0.75
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Citation History
Topics
Advanced Algebra and Logic
Physical Sciences → Computer Science → Computational Theory and Mathematics
Fuzzy and Soft Set Theory
Social Sciences → Decision Sciences → Management Science and Operations Research
Rings, Modules, and Algebras
Physical Sciences → Mathematics → Algebra and Number Theory
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