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

نویسندگان

  • Young Bae Jun
  • Min Su Kang
  • Chul Hwan Park
چکیده

Copyright q 2010 Young Bae Jun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 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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عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2010  شماره 

صفحات  -

تاریخ انتشار 2010