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系统科学与数学 2010
ON INTUITIONAL FUZZYIFYING IDEALS IN BCK-ALGEBRA BASED ON L~*-LATTICE VALUED LODIC
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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.