Results 21 to 30 of about 573,333 (238)

Weak implicative filters in quasi-ordered residuated systems

open access: yes, 2021
The concept of residuated relational systems ordered under a quasiorder relation was introduced in 2018 by S. Bonzio and I. Chajda as a structure A = 〈A, ·,→, 1, R〉, where (A, ·) is a commutative monoid with the identity 1 as the top element in this ...
Romano, Daniel
core   +1 more source

Further Complete Solutions to Four Open Problems on Filter of Logical Algebras

open access: yesInternational Journal of Computational Intelligence Systems, 2019
This paper focuses on the investigation of filters of pseudo BCK-algebra and BL-algebra, important and popular generic commutative and non-commutative logical algebras.
Wei Wang, Pengxi Yang, Yang Xu
doaj   +1 more source

New kinds of hybrid filters of EQ-algebras [PDF]

open access: yesMathematica Bohemica
The main goal of this paper is to introduce hybrid positive implicative and hybrid implicative (pre)filters of EQ-algebras. In the following, some characterizations of this hybrid (pre)filters are investigated and it is proved that the quotient algebras ...
Akbar Paad
doaj   +1 more source

Implicative hyper $K$-algebras [PDF]

open access: yes, 2005
summary:In this note we first define the notions of (weak, strong) implicative hyper $K$-algebras. Then we show by examples that these notions are different.
Borzooei, R. A.   +2 more
core   +1 more source

Shift Filter of Quasi-ordered Residuated Systems

open access: yesCommunications in Advanced Mathematical Sciences, 2022
The concept of residuated relational systems ordered under a quasi-order relation was introduced in 2018 by S. Bonzio and I. Chajda as a structure $\mathfrak{A} = \langle A, \cdot, \rightarrow, 1, \preccurlyeq \rangle$, where $(A,\cdot)$ is a commutative
Daniel A. Romano
doaj   +1 more source

On implicative BE algebras [PDF]

open access: yes, 2023
We consider some generalizations of BCK algebras (RML, BE, aBE, BE** and aBE** algebras). We investigate the property of implicativity for these algebras.
Andrzej Walendziak, Walendziak, Andrzej
core   +1 more source

On (,)- (implicative) filters in -algebras [PDF]

open access: yesInternational Journal of Computational Intelligence Systems, 2014
Molodtsov's soft set theory provides a general mathematical framework for dealing with uncertainty. This paper aims to put forward a new soft set–(,)-soft intersection set, which is a generalization of soft intersection sets.
Jianming Zhan, Yang Xu, Young Bae Jun
doaj   +1 more source

Properties of an anti vague filter in BL-algebras

open access: yesRatio Mathematica, 2021
In this paper, we introduce the notion of an anti vague filter of a BL-algebra with illustration, and obtain some related properties. Further, we investigate some equivalent conditions of anti vague filter.
Yahya Mohamed
doaj   +1 more source

FUZZY IMPLICATIVE FILTERS OF BE-ALGEBRAS BASED ON THE THEORY OF FALLING SHADOWS [PDF]

open access: yes, 2018
Based on the idea of falling shadows and fuzzy sets, the notion of a falling fuzzy implicative filter of a BE-algebra is introduced.
Rafi, N.   +2 more
core   +2 more sources

Hesitant Fuzzy Filters in BE-algebras

open access: yesInternational Journal of Computational Intelligence Systems, 2016
In this paper, we introduce the notion of hesitant fuzzy (implicative) filters and get some results on BE-algebras and show that every hesitant fuzzy implicative filter is a hesitant fuzzy filter but not the converse.
Akbar Rezaei, Arsham Borumand Saeid
doaj   +1 more source

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