Implicative Ideals of BCK-Algebras Based on the Fuzzy Sets and the Theory of Falling Shadows | Zendy

Young Bae Jun | Zendy; Min Su Kang | Zendy; Chul Hwan Park | Zendy

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Implicative Ideals of BCK-Algebras Based on the Fuzzy Sets and the Theory of Falling Shadows

Author(s) -

Young Bae Jun,

Min Su Kang,

Chul Hwan Park

Publication year - 2010

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2010/819463

Subject(s) - mathematics , falling (accident) , fuzzy logic , commutative property , ideal (ethics) , algebra over a field , ideal theory , pure mathematics , commutative ring , law , artificial intelligence , computer science , medicine , environmental health , political science

Based on the theory of falling shadows and fuzzy sets, the notion of a falling fuzzy implicative ideal of a BCK-algebra is introduced. Relations among falling fuzzy ideals, falling fuzzy implicative ideals, falling fuzzy positive implicative ideals, and falling fuzzy commutative ideals are given. Relations between fuzzy implicative ideals and falling fuzzy implicative ideals are provided

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