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ON INTUITIONAL FUZZYIFYING IDEALS IN BCK-ALGEBRA BASED ON L~*-LATTICE VALUED LODIC
基于L~*-格值逻辑上的BCK-代数中直觉不分明化理想

Keywords: $L^*$-lattice valued logic,$\L$ukasiewicz implication operator,intuitional fuzzifying BCK-algebra,intuitional fuzzifying ideal,intuitional fuzzifying positive implicative ideal,intuitional fuzzifying implicative ideal
$L^*$-格值
,$\L$ukasiewicz蕴涵算子,直觉不分明化BCK-代数,直觉不分明化理想,直觉不分明化正定蕴涵理想,直觉不分明化蕴涵理想.

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Abstract:

Under the semantic frame of $L^*$-lattice valued logic, we define the concept of intuitional fuzzifying BCK-algebra on $L^*$-lattice valued logic by using $\L$ukasiewicz implication operator as tool. In BCK-algebra, the concepts of ideals, positive implicative ideals and implicative ideals have ever been depicted by classical set theory, but now, they are redefined by a unary predicate calculus on $L^*$-lattice valued logic, and their properties and relations among them are discussed.

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