Soft set theoretical approach to pseudo-BCI algebras

X Zhang, C Park, S Wu - Journal of Intelligent & Fuzzy Systems, 2018 - content.iospress.com
The notion of pseudo-BCI algebra is introduced by WA Dudek and YB Jun, it is a kind of non-
classical logic algebra and a generalization of pseudo-BCK algebra which is close …

On fuzzy filters of pseudo BL-algebras

W Wang, X Xin - Fuzzy Sets and Systems, 2011 - Elsevier
We introduce the concept of fuzzy filters of pseudo-BL-algebras and obtain some of their
important properties. We further give several kinds of fuzzy filters, such as fuzzy Boolean …

[HTML][HTML] New types of fuzzy filters of BL-algebras

Y Yin, J Zhan - Computers & Mathematics with Applications, 2010 - Elsevier
This paper introduces the concepts of (α, β)-fuzzy (implicative, positive implicative, fantastic)
filters and (β¯, α¯)-fuzzy (implicative, positive implicative, fantastic) filters of BL-algebras …

[HTML][HTML] Some kinds of (∈,∈∨ q)-fuzzy filters of BL-algebras

X Ma, J Zhan, WA Dudek - Computers & Mathematics with Applications, 2009 - Elsevier
The concepts of (∈¯,∈¯∨ q¯)-fuzzy (implicative, positive implicative and fantastic) filters of
BL-algebras are introduced and some related properties are investigated. Some …

[图书][B] Neutrosophic regular filters and fuzzy regular filters in pseudo-BCI algebras

X Zhang, Y Ma, F Smarandache - 2017 - books.google.com
Neutrosophic set is a new mathematical tool for handling problems involving imprecise,
indeterminacy and inconsistent data. Pseudo-BCI algebra is a kind of non-classical logic …

Interval valued-fuzzy filters of pseudo BL-algebras

J Zhan, WA Dudek, YB Jun - Soft Computing, 2009 - Springer
We introduce the concept of quasi-coincidence of a fuzzy interval value with an interval
valued fuzzy set. By using this new idea, we introduce the notions of interval valued (∈, ∈ …

Some types of falling fuzzy filters of BL-algebras and its applications

J Zhan, YB Jun, HS Kim - Journal of Intelligent & Fuzzy …, 2014 - content.iospress.com
The notions of falling fuzzy (implicative, positive implicative and fantastic) filters of a BL-
algebra are introduced based on the theory of falling shadows and fuzzy sets. The relations …

Pseudo-BL algebras and pseudo-effect algebras

XH Zhang, XS Fan - Fuzzy sets and systems, 2008 - Elsevier
Pseudo-BL algebras and pseudo-effect algebras arose in two rather different fields: fuzzy
logics and quantum logics. In this paper, by introducing the notion of pseudo-weak MV-effect …

[PDF][PDF] Fantastic filters in quasi-ordered residuated systems

DA Romano - Matematichki Bilten, 2022 - researchgate.net
The notion of quasi-ordered residuated systems was introduced by Bonzio and Chajda in
2018 as a generalization of both commutative residual lattices and hoop-algebras. With …

BCC-algebras and residuated partially-ordered groupoid

X Zhang - Mathematica Slovaca, 2013 - Springer
The aim of the paper is to investigate the relationship between BCC-algebras and
residuated partially-ordered groupoids. We prove that an integral residuated partially …