Results 11 to 20 of about 225 (154)
Interior BCK/BCI-Algebras [PDF]
International Journal of Computational Intelligence Systems, 2021 The notions of interior BCK/BCI-algebras, positive implicative interior BCK-algebras, (weak) interior ideals, positive implicative interior ideals, a positive implicative weak interior ideal of type 1, type 2, and type 3 are introduced, and related properties are investigated. A mapping is provided to the set of all involutions of a bounded BCK-algebra
Sun Shin Ahn +2 more
openaire +4 more sources
Fuzzy filters in BCI‐algebras [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 We introduce the notion of fuzzy filters and weak filters in BCI‐algebras and discuss their properties. Then we establish some relations among filters, fuzzy filters, and weak filters in BCI‐algebras.
C. Lele, C. Wu, T. Mamadou
openaire +3 more sources
J. Multiple Valued Log. Soft Comput., 2018 The notion of semi-BCI algebras is introduced and some of its properties are investigated. This algebra is another generalization for BCI-algebras. It arises from the "intervalization" of BCI algebras. Semi-BCI have a similar structure to Pseudo-BCI algebras however they are not the same. In this paper we also provide an investigation on the similarity
Regivan H. N. Santiago +4 more
doaj +6 more sources
Doubt fuzzy BCI‐algebras [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 The aim of this note is to introduce the notion of doubt fuzzy p‐ideals in BCI‐algebras and to study their properties. We also solve the problem of classifying doubt fuzzy p‐ideals and study fuzzy relations on BCI‐algebras.
Zhan Jianming, Tan Zhisong
openaire +2 more sources
On branchwise implicative BCI‐algebras
International Journal of Mathematics and Mathematical Sciences, 2002 We introduce a new class of BCI‐algebras, namely the class of branchwise implicative BCI‐algebras. This class contains the class of implicative BCK‐algebras, the class of weakly implicative BCI‐algebras (Chaudhry, 1990), and the class of medial BCI‐algebras.
Muhammad Anwar Chaudhry
openaire +2 more sources
Computers and Mathematics With Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Young Bae Jun
exaly +3 more sources
Graphs Based on BCK/BCI‐Algebras [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 The associated graphs of BCK/BCI‐algebras will be studied. To do so, the notions of (l‐prime) quasi‐ideals and zero divisors are first introduced and related properties are investigated. The concept of associative graph of a BCK/BCI‐algebra is introduced, and several examples are displayed.
Young Bae Jun, Kyoung Ja Lee
openaire +3 more sources
International Journal of Mathematics and Mathematical Sciences, 2012 We associate a graph to any subsetYof aBCI-algebraXand denote it byG(Y). Then we find the set of all connected components ofG(X)and verify the relation betweenXandG(X), whenXis commutativeBCI-algebra orG(X)is complete graph orn-star graph. Finally, we attempt to investigate the relation between some operations on graph and some operations onBCI ...
Omid Zahiri, Rajab Ali Borzooei
openaire +2 more sources
Neutrosophic Quadruple BCK/BCI-Algebras [PDF]
Axioms, 2018 The notion of a neutrosophic quadruple BCK/BCI-number is considered, and a neutrosophic quadruple BCK/BCI-algebra, which consists of neutrosophic quadruple BCK/BCI-numbers, is constructed. Several properties are investigated, and a (positive implicative) ideal in a neutrosophic quadruple BCK-algebra and a closed ideal in a neutrosophic quadruple BCI ...
Young Bae Jun +3 more
openaire +6 more sources
Engel BCI-algebras: an application of left and right commutators [PDF]
Mathematica Bohemica, 2021 We introduce Engel elements in a BCI-algebra by using left and right normed commutators, and some properties of these elements are studied. The notion of $n$-Engel BCI-algebra as a natural generalization of commutative BCI-algebras is introduced, and we ...
Ardavan Najafi, Arsham Borumand Saeid
doaj +1 more source