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Fuzzy Filter Spectrum of a BCK Algebra

Author

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  • Xiao Long Xin
  • Wei Ji
  • Xiu Juan Hua

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.

Suggested Citation

  • Xiao Long Xin & Wei Ji & Xiu Juan Hua, 2011. "Fuzzy Filter Spectrum of a BCK Algebra," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-13, January.
    • Handle: RePEc:hin:jijmms:795934
    DOI: 10.1155/2011/795934
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