Fuzzy Filter Spectrum of a BCK Algebra

Xiao Long Xin, Wei Ji and Xiu Juan Hua

International Journal of Mathematics and Mathematical Sciences, 2011, vol. 2011, 1-13

Abstract:

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 , we establish a fuzzy topological structure on . 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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:795934

DOI: 10.1155/2011/795934

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