[PDF] Top 20 Fuzzy multiply positive implicative hyper BCK ideals of hyper BCK algebras

... onto hyper homomorphism of hyperBCK-algebras. If ν is a fuzzy multiply positive implicative hyper BCK-ideal of H , then the hyper homo- morphic preimage µ of ... See full document

... A BCK-algebra is an important class of logical algebras introduced by ...of BCK-algebra is a ...of fuzzy sets ...to BCK-algebras [7], and also many fuzzy structures in ... See full document

... X. Conversely, suppose that U (µ; t)( = ∅ ) is an n-fold positive implicative ideal of X for every t ∈ [0,1]. For any x ∈ X, let µ(x) = t. Then x ∈ U (µ; t). Since 0 ∈ U (µ; t), we get µ(0) ≥ t = µ(x) and ... See full document

... and fuzzy sets, the notion of a falling fuzzy implicative ideal of a BCK-algebra is ...falling fuzzy ideals, falling fuzzy implicative ideals, falling ... See full document

... defined fuzzy soft ring and study some of its algebraic ...extended fuzzy soft sets with fuzzy DLs, i.e., present an extended fuzzy soft set theory by using the concepts of fuzzy DLs to ... See full document

... of BCK-algebras was initiated by ...the hyper K -algebras, and studied (positive implicative) hyper K -ideals in hyper K ...strong hyper K ... See full document

... n-fold implicative ideals and n-fold (weak) commutative ...n-fold implicative ideals, n-fold commutative ideals and n-fold weak commutative ...n-fold fuzzy implicative ... See full document

... with fuzzy information and uncertain ...algebra: BCK-algebras [7] were initiated by Imai and Iseki in 1966 as a generalization of both classical and non-classical positional ...of ... See full document

... hesitant fuzzy soft ideals in BCK-algebras were introduced by Alshehri et ...hesitant fuzzy soft implicative ideal, hesitant fuzzy soft positive implicative ... See full document

... of BCK-algebras was proposed by Iami and Iseki in ...a BCK- ...the BCK/BCI-algebras and their relationship with other universal structures including lattices and Boolean ...of ... See full document

... logical algebras BCK-algebras [7] was initiated by Imai and Iseki in 1966 as a generalization of both classical and non-classical ...of fuzzy sets by Zadeh [12], there has been a number of ... See full document

... U(µ ; t) (= ∅) is an implicative hyper BCK-ideal of H . Let x,y,z ∈ H be such that (x ◦z)◦ (y ◦x) U(µ ; t) and z ∈ U(µ ; t) . Then µ(z) ≥ t and (x ◦(y ◦ x))◦ z U(µ ; t) , and so w ◦ z U(µ ; t) for ... See full document

... of BCK-algebras was initiated by Iséki in 1966 as a generalization of the concept of set-theoretic difference and propositional ...to BCK-algebras, introduced the concept of a hyper ... See full document

... of fuzzy set to generalize the notion of a member belonging to a set ...of fuzzy set has been applied to various algebraic ...abstract algebras, BCK- algebra and BCI- ...of fuzzy set to ... See full document

... plicative ideals of a ...commutative hyper K-ideals have been studied by ...commutative hyper K-ideals, and an implicative hyper ...commutative hyper ... See full document

... Example 3.15. Let X {0, a, b, c, d} be a set with the ∗-operation given by Table 6, then X is a BCK-algebra see 4. By Lemma 3.8, each nonzero point is adjacent to 0. Note that l{a, b} l{a, d} l{b, c} l{c, d} {0}, ... See full document

... of fuzzy sets was first initiated by Zadeh([36]) in ...introduced BCK-algebras as a generalization of notion of the concept of set theoretic difference and propositional calculus and in the same year ... See full document

... then H , ,1 is a Hilbert Algebras in BCK-algebras， {1,2} is an ideal，but it not a commutative ideal Theorem 2.3 A commutative ideal of a Hilbert Algebras in BCK-algebras must be an ide[r] ... See full document

... Proof. Suppose that µ is a T -fuzzy H-ideal of X. Since U(µ, 1) is nonempty, there exists x ∈ U ( µ ; 1). It follows from (TF1) that µ (0) ≥ µ ( x ) ≥ 1, that is, 0 ∈ U ( µ ; α ). Let x , y , z ∈ X be such that x ... See full document

... called fuzzy set, where is a membership function which map each element of in 0, 1 ...is fuzzy subset of . The set of all fuzzy subsets of a set is denoted by ...Two fuzzy sets and are equal ... See full document