[PDF] Top 20 On branchwise implicative BCI algebras

... of BCI-algebras, namely the class of branchwise implicative BCI- ...of implicative BCK-algebras, the class of weakly implicative BCI-algebras ... See full document

... a BCI-algebra and to investigate the new aspects of related ...sub- implicative ideals with thresholds was considered and some basic related results are ... See full document

... introduced BCI-algebras [8] as a super class of the class of ...of BCI-algebras is a proper subclass of the class of ...positive implicative ideals in ...positive implicative ... See full document

... fuzzy implicative ideal, and doubt fuzzy prime ideal in BCI- algebras, and got some results about ...a BCI-algebra and investigate its ... See full document

... and BCI-algebras are two classes of logical ...a BCI- algebra, they gave a condition for a quasi-valuation map based on an ideal to be a quasi-valuation map based on a subalgebra, and found ... See full document

... In 1983, Hu and Li introduced the notion of BCH-algebras [4] as a generalization of BCI-algebras and studied certain properties of these algebras. In this direction, Jun, Roh and Kim ... See full document

... Proof. Let GX be a graph with complete components, a ∈ P and x, y ∈ V a such that x / y. Since x ∗ y ∈ V 0 by BCI6, we get x ∗ x ∗ y ∈ L{x, y}. Now, since x, y ∈ V a and GX is a graph with complete components, then by ... See full document

... Lemma 1.3 [6]. A BCI-algebra X is commutative if and only if it is branchwise commutative. Definition 1.4 [6]. Let X be a BCI-algebra. By a left-right derivation (briefly, (l,r)- derivation) of X, a ... See full document

... positive implicative ideals in ...a BCI-algebra X such that μ0 ν0 and μ ⊂ ν, that is, μx ≤ νx for all x ∈ ...positive implicative ideal then ν is also fuzzy n-fold positive implicative ... See full document

... hyper BCI-algebras [10] as a generalization of ...hyper BCI-ideals are also defined in ...hyper BCI-algebras, several researches were ...hyper BCI-algebras [13], fuzzy ... See full document

... hyper BCI-algebras [14], fuzzy implicative hyper BCK-ideals of hyper BCK-algebras [9], and some results on fuzzy implicative hyper GR-ideals ...hyper BCI-algebras ... See full document

... Further, our logically inspired choice of filters and ideals was shown to be advantageous in that it allowed for a straightforward definition of the π and σ extensions of the operations. This was due to the fact that our ... See full document

... Abstract. We consider the fuzzification of the notion of an n-fold positive implicative ideal. We give characterizations of an n-fold fuzzy positive implicative ideal. We establish the extension property for ... See full document

... Abstract. In this paper, using the notions of soft sets and N -structures, the notion of N -soft p-ideals in BCI -algebras is introduced, and related properties are investigated. Furthermore, relations ... See full document

... 4. Image factorization system and certain other notions. In this section, we show that BCH has an image factorization system and that MBCI, the cat- egory of medial BCI-algebras and ... See full document

... derivation of 𝑋 if satisfying 𝐷(𝑥∗𝑦) = 𝑥∗𝐷(𝑦)∧𝑦∗𝐷(𝑥) for all 𝑥, 𝑦 ∈ 𝑋. Furthermore, in 2011 [13], Ilbira et al. have introduced the notion of symmetric bi-derivations in BCI- algebras. Following [13], a ... See full document

... Proof. Using Definition 3.2, we can write (F, A)   (G, B) = (H, C), where C =A  B and H (x) = F(x) or G (x) for all x  C. Note that H: C  P(X) is a mapping, and therefore (H, C) is a soft set over X. Since (F, A) ... See full document

... 0 = f (a) ∈ f (x ◦y) = f (x) ◦ f (y) = f (x) ◦0 = f (x), (3.16) that is, x ∈ ker (f ) . Hence ker (f ) is a hyper BCK-ideal of G . Let x,y ∈ G be such that x ◦(y ◦x) ker (f ) . Then x ◦(y ◦x) ⊆ ker (f ) by Lemma 3.14. ... See full document

... of implicative neutrosophic filter of X is denoted by ...every implicative neutrosophic filter is a neutrosophic ...an implicative neutrosophic filter as shown in the following ... See full document

... fuzzy implicative ideal of a BCK-algebra is ...fuzzy implicative ideals, falling fuzzy positive implicative ideals, and falling fuzzy commutative ideals are ...fuzzy implicative ideals and ... See full document