Results 21 to 30 of about 573,333 (238)
Weak implicative filters in quasi-ordered residuated systems
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
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]
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]
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
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]
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]
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
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]
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
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

