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

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      International Journal of Mathematics and Mathematical Sciences
      Hindawi Limited

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          Abstract

          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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          Fuzzy positive implicative ideals of BCK-algebras based on the theory of falling shadows

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            Fuzzy inference relation based on the theory of falling shadows

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              Fuzzy Set Operations Based on the Theory of Falling Shadows

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                Author and article information

                Journal
                International Journal of Mathematics and Mathematical Sciences
                International Journal of Mathematics and Mathematical Sciences
                Hindawi Limited
                0161-1712
                1687-0425
                2010
                2010
                : 2010
                :
                : 1-11
                Article
                10.1155/2010/819463
                400f016d-2c3c-4d5c-963c-55fb534eddda
                © 2010

                http://creativecommons.org/licenses/by/3.0/

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