Intuitionistic fuzzy prime ideals of BCK-algebras
نویسنده
چکیده
We consider the intuitionistic fuzzification of the concept of prime ideals in commutative BCK-algebras, and investigate some of their properties. We show that if P is a prime ideal of commutative BCK-algebra X iff ∼ P = 〈XP , − XP 〉 is an intuitionistic fuzzy prime ideal of X. We also prove that An IFS A = 〈μA, λA〉 of commutative BCK-algebra X is an intuitionistic fuzzy prime ideal of X if and only if for all s, t ∈ [0, 1], the set’s U(μA, t) and L(λA, s) are prime ideals of X. 2010 AMS Classification: 06F35, 08A72
منابع مشابه
INTUITIONISTIC FUZZY HYPER BCK-IDEALS OF HYPER BCK-ALGEBRAS
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