Fuzzy Filter Spectrum of a BCK Algebra | Zendy

Xiao Long Xin | Zendy; Wei Ji | Zendy; Xiu Juan Hua | Zendy

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Fuzzy Filter Spectrum of a BCK Algebra

Author(s) -

Xiao Long Xin,

Wei Ji,

Xiu Juan Hua

Publication year - 2011

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 - 10.1155/2011/795934

Subject(s) - mathematics , bounded function , prime (order theory) , fuzzy subalgebra , hausdorff space , commutative property , fuzzy logic , algebra over a field , discrete mathematics , fuzzy set , hausdorff distance , algorithm , pure mathematics , fuzzy number , combinatorics , artificial intelligence , computer science , mathematical analysis

The notion of fuzzy s-prime filters of a bounded BCK-algebra is introduced. We discuss the relation between fuzzy s-prime filters and fuzzy prime filters. By the fuzzy s-prime filters of a bounded commutative BCK-algebra X, we establish a fuzzy topological structure on X. We prove that the set of all fuzzy s-prime filters of a bounded commutative BCK-algebra forms a topological space. Moreover, we show that the set of all fuzzy s-prime filters of a bounded implicative BCK-algebra is a Hausdorff space

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