[PDF] Top 20 Graphs Based on BCK/BCI Algebras

... Example 3.16. Let X {0, 1, 2, 3, 4} be a set with the ∗-operation given by Table 7, then X is a BCK-algebra see 4. By Lemma 3.8, each nonzero point is adjacent to 0. Note that l{1, 2} {0, 1}, that is, 1 is not ... See full document

... The intuitionistic fuzzy model operators and ◊ introduced by Atanassov in 1983. The extension on both the operators and ◊ is the new operator D α which represents both of them. Further the extension of all the operators ... See full document

... From inspiring above literature, In section 2,we discussed basic definitions related to soft set, double framed soft set and BCK/BCI algebras. In section 3. our basic purpose to combine the concept ... See full document

... in BCK/BCI-algebras based on neutrosophic ...in BCK/BCI ...in BCK/BCI-algebras, and in- vestigated several ...the BCK/BCI-algebras on ... See full document

... Denote by FX, −1, 0 the collection of functions from a set X to −1, 0. We say that an element of FX, −1, 0 is a negative-valued function from X to −1, 0 briefly, N-function on X. By an N-structure we mean an ordered pair ... See full document

... of BCK/BCI-algebra were introduced by Iseki (1980) and were extensively investigated by many ...subtraction algebras. In (Arsham Bourmand Saied, 2009), the concept of vague ... See full document

... D. Bus¸neag 1 defined pseudo valuation on a Hilbert algebra and proved that every pseudo valuation induces a pseudometric on a Hilbert algebra. Also, D. Bus¸neag 2 provided several theorems on extensions of pseudo ... See full document

... of BCI-algebras, namely the class of branchwise implicative BCI- ...implicative BCK-algebras, the class of weakly implicative BCI-algebras (Chaudhry, 1990), and the class ... See full document

... abstract algebras, BCK- algebra and BCI- ...to BCK- ...in BCK- ...in BCK algebra and vague ideal in BCK- algebras and discuss some of their ... See full document

... called BCI-ordering of X. The set B {x ∈ X | 0 ∗ x 0} is called BCK-part of ...A BCI-algebra X is called a BCK-algebra if B X. A BCK-chain is a BCK-algebra such that X, ≤ is a ... See full document

... 1. Introduction and preliminaries. The concept of a fuzzy set is applied to gener- alize some of the basic concepts of general topology [2]. Rosenfeld [6] constituted a similar application to the elementary theory of ... See full document

... quotient BCI -algebras induced by fuzzy ...quotient BCI-algebras induced by fuzzy ideals is not a fuzzy set but it is a crisp ...quotient algebras in ...quotient algebras induced ... See full document

... logical algebras introduced by Is´eki in 1966 see 1– ...of BCK-algebras see ...to BCK-algebras. For the general development of BCK-algebras the fuzzy ideal theory and ... See full document

... of BCI-algebras was introduced by Is´eki [3] which is a generalization of BCK- algebras ...is based on set theory, another motivation is from classical and nonclassical propositional ... See full document

... abstract algebras: BCK-algebras and BCI-algebras 1, ...of BCK-algebras is a proper subclass of the class of BCI- ...for BCK/BCI-algebra to ...of ... See full document

... We will follow standard definitions. Our categorical concepts will be those of standard texts [1, 17] to which we refer the reader for the definitions of standard categorical terms. We denote by BCK(BCI) ... See full document

... of BCK-algebras, commutative soft ideals and commutative idealistic soft BCK-algebras are introduced, and their basic properties are ...of BCK/BCI- algebras and introduced ... See full document

... a BCK-algebra (see ...is based on the set theory (where the set difference operation play the main role) and another motivation is from classical and non-classical propositional calculi (see ...and ... See full document

... Based on the theory of falling shadows and fuzzy sets, the notion of a falling fuzzy implicative ideal of a BCK-algebra is introduced. Relations among falling fuzzy ideals, falling fuzzy implicative ideals, ... See full document

... 1. Introduction. The main problem in fuzzy mathematics is how to carry out the ordinary concepts to the fuzzy case. The difficulty lies in how to pick out the rational generalization from the large number of available ... See full document