Ebrahimi, Mohammad Izadara, Alireza
Published in
Soft Computing

This paper defines the concept of ideal entropy for BCI-algebras in general, and it tries to describe some of its properties. Moreover, the present study will show that F2n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} ...

jaíyéọlá, tèmítọ́pẹ́ gbọ́láhàn ilojide, emmanuel olatinwo, memudu olaposi smarandache, florentin

In this paper, Bol-Moufang types of a particular quasi neutrosophic triplet loop (BCI-algebra), chritened Fenyves BCI-algebras are introduced and studied. 60 Fenyves BCI-algebras are introduced and classified. Amongst these 60 classes of algebras, 46 are found to be associative and 14 are found to be non-associative. The 46 associative algebras are...

Moussaei, Hosain Harizavi, Habib Borzooei, Rajab Ali
Published in
Soft Computing

In this paper, for any non-empty subset A of a BCI-algebra X, we introduce the concept of p-closure of A, denoted by Apc\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$...

Zhu, Kuan Yun Hu, Bao Qing
Published in
Soft Computing

In this paper, the notion of Z-soft rough fuzzy BCI-algebras (ideals) is introduced, which is an extended notion of soft rough BCI-algebras (ideals) and rough fuzzy BCI-algebras (ideals). In this paper, we first apply Z-soft rough fuzzy sets to BCI-algebras. Moreover, we study roughness in BCI-algebras with respects to a Z-soft approximation space....

Chajda, Ivan Länger, Helmut
Published in
Soft Computing

For an algebra A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbf {A}}$$\end{document} belonging to a quasivariety K\documentclass[12pt]{minimal} \usepackage{ams...

Haviar, Alfonz Konôpka, Pavol
Published in
Mathematica Slovaca

In this paper we show that the free BCI-algebra with one generator has an infinite number of branches and that every branch (as a poset) has the least and the greatest element and is of infinite length and width.

Ma, Xueling Zhan, Jianming Jun, Young Bae
Published in
Neural Computing and Applications

The concepts of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(\in_{\gamma},\in_{\gamma} \! \vee\,{\rm q}_{\delta})$$\end{document}-fuzzy (p-, q- and a-) ideals and \...

Lele, Celestin Moutari, Salissou
Published in
Soft Computing

We study the notion of n-folds H-ideals in BCI-algebras as a natural generalization of H-ideals in BCI-algebras. Thanks to the concept of fuzzy point, we give some properties of n-folds and fuzzy n-folds H-ideals. Finally, we establish some algorithms for study of foldness theory of H-ideals in BCI-algebras.

Guangji, Zhang Cheng, Zhang Zixin, Liu Jiatai, Gang
Published in
Fuzzy Optimization and Decision Making

Following the seminal work of Xi on the definition of fuzzy ideal in BCI-algebras, three new kinds of definitions of fuzzy ideal of BCI-algebras are proposed. First, by the use of the relations between fuzzy points and fuzzy sets, the definition of a (s,t]-fuzzy ideals of BCI-algebras is introduced. The acceptable nontrivial concepts obtained in th...

Huang, Yisheng
Published in
Southeast Asian Bulletin of Mathematics

Prove that the notion of positive implicative BCI-algebras coincides with that of weakly positive implicative BCI-algebras, thus the whole results in the latter are still true in the former, in particular, one of these results answers definitely the first half of J. Meng and X.L. Xin’s open problem: Does the class of positive implicative BCI-algebr...