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Characterizations of Some Fuzzy Prefilters (Filters) in EQ-Algebras [PDF]

open access: yesThe Scientific World Journal, 2014
We introduce and study some types of fuzzy prefilters (filters) in EQ-algebras. First, we present several characterizations of fuzzy positive implicative prefilters (filters), fuzzy implicative prefilters (filters), and fuzzy fantastic prefilters ...
Xiao Long Xin   +2 more
doaj   +2 more sources

The Notions of Fuzzy Set on Pseudo Quasi Ordered Residuated Systems [version 2; peer review: 3 approved] [PDF]

open access: yesF1000Research
This paper introduces the concept of fuzzy filters and 2-fuzzy filters of a quasi-ordered residuated system K . This research explores comparative, normal, implicative and associative fuzzy filters within a quasi-ordered residuated system. It establishes
Teferi Getachew Alemayehu   +1 more
doaj   +2 more sources

On Fuzzy Positive Implicative Filters in BE-Algebras [PDF]

open access: yesThe Scientific World Journal, 2014
We study several degrees in defining a fuzzy positive implicative filter, which is a generalization of a fuzzy filter in BE-algebras.
Sun Shin Ahn, Jeong Soon Han
doaj   +2 more sources

Fuzzy Positive Implicative Filters of Hoops Based on Fuzzy Points

open access: yesMathematics, 2019
In this paper, we introduce the notions of ( ∈ , ∈ ) -fuzzy positive implicative filters and ( ∈ , ∈ ∨ q ) -fuzzy positive implicative filters in hoops and investigate their properties.
Rajab Ali Borzooei   +3 more
doaj   +3 more sources

Neutrosophic $\mathcal{N}-$structures on Sheffer stroke BE-algebras [PDF]

open access: yesJournal of Mahani Mathematical Research, 2022
In this study, a neutrosophic $\mathcal{N}-$subalgebra, a (implicative) neutrosophic $\mathcal{N}-$ filter, level sets of these neutrosophic $\mathcal{N}-$structures and their properties are introduced on a Sheffer stroke BE-algebras (briefly, SBE ...
Tahsin Oner   +3 more
doaj   +1 more source

Soju Filters in Hoop Algebras

open access: yesBulletin of the Section of Logic, 2021
The notions of (implicative) soju filters in a hoop algebra are introduced, and related properties are investigated. Relations between a soju sub-hoop, a soju filter and an implicative soju filter are discussed.
Rajab Ali Borzooei   +3 more
doaj   +1 more source

FUZZY MEDIAL FILTERS OF PSEUDO BE-ALGEBRAS [PDF]

open access: yesJournal of Algebraic Systems, 2021
In this paper, the notion of fuzzy medial filters of a pseudo BE-algebra is defined, and some of the properties are investigated. We show that the set of all fuzzy medial filters of a pseudo BE-algebra is a complete lattice.
A. Rezaei
doaj   +1 more source

Study hoop algebras by fuzzy (n-fold) obstinate filters

open access: yesTopological Algebra and its Applications, 2023
In this article, we introduce the concept of fuzzy (n-fold) obstinate filter on hoop algebras and study some of the properties. We define and study fuzzy prime filter and fuzzy n-fold implicative filter on hoop algebras.
Namdar Ameneh, Saeid Arsham Borumand
doaj   +1 more source

New Kinds of Prefilters in EQ-Algebras

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2022
In this paper, the notions of n-fold positive implicative prefilter and n-fold implicative prefilter in EQ-algebras are introduced and several properties, characterizations and equivalent conditions are provided. It is proved that the quotient EQ-algebra
Paad Akbar   +3 more
doaj   +1 more source

\(n\)-Fold Filters of EQ-Algebras

open access: yesBulletin of the Section of Logic, 2022
In this paper, we apply the notion of \(n\)-fold filters to the \(EQ\)-algebras and introduce the concepts of \(n\)-fold pseudo implicative, \(n\)-fold implicative, \(n\)-fold obstinate, \(n\)-fold fantastic prefilters and filters on an \(EQ\)-algebra \(\
Batoul Ganji Saffar   +2 more
doaj   +1 more source

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