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The Lattice of Intuitionistic Fuzzy Filters in Residuated Lattices

Journal of Applied Mathematics, 2014
The notion of tip-extended pair of intuitionistic fuzzy filters is introduced by which it is proved that the set of all intuitionistic fuzzy filters in a residuated lattice forms a bounded distributive lattice.
Zhen Ming Ma
doaj   +1 more source

Normal filters in residuated lattices

Le Matematiche, 2015
Residuated lattices play an important role in the study of fuzzy logic. In the present paper, we introduce the notion of a normal filter in a residuated lattice and give some characterizations of them.
Lida Torkzadeh, A. Ahadpanah
doaj  

Some Properties of Residuated Lattices [PDF]

Czechoslovak Mathematical Journal, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Solving Generalized Equations with Bounded Variables and Multiple Residuated Operators

Mathematics, 2020
This paper studies the resolution of sup-inequalities and sup-equations with bounded variables such that the sup-composition is defined by using different residuated operators of a given distributive biresiduated multi-adjoint lattice. Specifically, this
M. Eugenia Cornejo, David Lobo, Jesús Medina   +2 more
doaj   +1 more source

Fundamental residuated lattices.

, 2014
Summary: For any countable set \(X\), we construct a residuated lattice and weak hyper residuated lattice on \(X\). Next, using the notion of (strongly) regular relation we construct the corresponding quotient weak hyper residuated lattice. Finally, by considering the fundamental relation we define the fundamental residuated lattice and we show that ...
Borzooei, R., Niazian, S.
openaire   +2 more sources

Commutative Rings Behind Divisible Residuated Lattices

Mathematics
Divisible residuated lattices are algebraic structures corresponding to a more comprehensive logic than Hajek’s basic logic with an important significance in the study of fuzzy logic.
Cristina Flaut, Dana Piciu
doaj   +1 more source

Implication in finite posets with pseudocomplemented sections. [PDF]

Soft comput, 2022
Chajda I, Länger H.
europepmc   +1 more source

Consistent posets. [PDF]

Soft comput, 2021
Chajda I, Länger H.
europepmc   +1 more source

Homomorphisms between Fuzzy Approximation Spaces Based on Residuated Lattice

Journal of Applied Mathematics, 2014
Two kinds of homomorphisms of fuzzy approximation spaces based on complete residuated lattice are proposed. The homomorphisms are structure-preserving maps in some sense.
Yuan Zhao
doaj   +1 more source

The Notions of Fuzzy Set on Pseudo Quasi Ordered Residuated Systems [version 1; peer review: 2 approved]

F1000Research
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, Yeshiwas Mebrat Gubena   +1 more
doaj   +1 more source