BCK-Algebra
Rough Set Theory Applied To Hyper BCK-Algebra
... The aim of this paper is to introduce the notions of lower and up- per approximation of a subset of a hyper BCK-algebra with respect to a hyper BCK-ideal. We give the notion of rough hyper subalgebra ...
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Vague Direct Product In Bck- Algebra
... In this paper, the notion of direct product of vague set in BCK- algebra is introduced and some related properties are investigated. Also we introduce some of the properties of direct product of finite ...
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Some Closure Operators and Topologies on a Hyper BCK-algebra
... Conclusion Right and left applications of a hyper order associated with a hyper BCK- algebra can give rise to two closure operators which , in turn, can be used to generate bases for some topologies on the ...
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Fuzzy Filter Spectrum of a BCK Algebra
... In general, the converse of Theorem 3.10 is not true. Let us see the following example. Example 3.11. Let X {0, 1}. Define the operation ∗ on X as follows: 0 ∗ 0 0, 0 ∗ 1 0, 1 ∗ 0 1 and 1 ∗ 1 0. It is easy to see that X; ...
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BCI-1. ) = 0 BCI-2. = 0 BCI-3. = 0 BCI-4. = 0 and = 0 implies that BCI-5. 0= 0, for all
... Suppose 𝑋𝑋 is a bound BCK-algebra and let 𝐼𝐼 be a proper commutative (resp. implicative, positive implicative ) ideal, then there is a maximal commutative (resp. implicative, positive implicative ) ideal ...
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Annihilator Graph on Union of Two Commutative KS – Semigroups
... abstract algebra, mathematical system with one binary operation called group and two binary operations called rings were ...of algebra called BCK-algebra. A BCK– algebra is named ...
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Quasi-valuation maps based on positive implicative ideals in BCK-algebras
... Theorem 3.11. Let f be an I-quasi-valuation map of a BCK-algebra X. If f satisfies the condition (c6), then f is a PI-quasi-valuation map of X. Proof. Let f be an I-quasi-valuation map of X which satisfies ...
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Free Extended BCK-Module
... general algebra? To give answer to these problems, ...a BCK-algebra. This name is taken from BCK-system of ...Meredith. BCK-algebras have been applied to many branches of mathematics, ...
15
Fuzzy structures of PI(≪,⫅,⫅)BCK ideals in hyper BCK algebras
... 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 ...
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Fuzzy multiply positive implicative hyper BCK ideals of hyper BCK algebras
... to BCK-algebras, introduced the concept of a hyper BCK-algebra which is a generalization of a BCK-algebra, and investigated some related ...hyper BCK-ideals of hyper ...
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Classifications of Hyper Pseudo BCK-algebras of Order 3
... pseudo BCK- algebra, we classify the set of all non-isomorphic hyper pseudo BCK- algebras of order ...pseudo BCK-algebras of order 3 that satisfies these ...
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ON FUZZY QUOTIENT BCK-ALGEBRAS
... Abstract. In this paper, by considering the concept of fuzzy congruence in some alge- braic structures, we specially study fuzzy congruence in BCK-algebras. We prove that there is a bijection between the set of ...
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Intuitionistic fuzzy ideals of BCK algebras
... Abstract. We consider the intuitionistic fuzzification of the concept of subalgebras and ideals in BCK-algebras, and investigate some of their properties. We introduce the notion of equivalence relations on the ...
11
On sensible fuzzy ideals of BCK algebras with respect to a t conorm
... a BCK-algebra X, then S is called a subalgebra of X if x ∗ y ∈ S for all x, y ∈ ...of BCK-algebras is a homomorphism if f (x ∗ y) = f (x) ∗ f (y) for all x, y ∈ ...a BCK-algebra X is ...
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Graphs Based on BCK/BCI Algebras
... of BCK/BCI- ...a BCK/BCI- algebra and provide several ...a BCK/BCI-algebra to be ...a BCK-algebra is a connected graph in which every nonzero vertex is adjacent to 0, but ...
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Commutative Pseudo Valuations on BCK Algebras
... In this paper, we introduce the notion of a commutative pseudo valuation on a BCK-algebra, and investigate its characterizations. We discuss the relationship between a pseudo valuation and a commutative ...
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The Localization of Commutative Bounded BCK Algebras
... Let A be a BCK-algebra. A deductive system (or i-filter) of A is a nonempty subset D of A such that 1 D and for every x y , A , if x x , y D , then y D . It is clear that if D is a deductive ...
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The Structure of Pseudo-BF /BF*-algebra
... studied a non-commutative generalization of the M V -algebra named pseudo-M V -algebra. In [16], pseudo-BL-algebra was introduced as a generalization of BL-algebra and pseudo- M V ...
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Smarandache BCC algebras
... We know that every proper BCC-algebra has at least four elements (see [4]), and that if X is a BCC-algebra, then { 0, a } , a ∈ X, is a BCK-algebra with respect to the same operation on X. Now ...
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Fuzzy implicative hyper BCK ideals of hyper BCK algebras
... to BCK-algebras, and introduced the concept of a hyper BCK-algebra which is a generalization of a BCK-algebra, and investigated some related ...hyper BCK-ideal and a weak hyper ...
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