Fuzzy Filter Spectrum of a BCK Algebra

نویسندگان

  • Xiaolong Xin
  • Wei Ji
  • Xiu Juan Hua
چکیده

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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عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2011  شماره 

صفحات  -

تاریخ انتشار 2011