Results 21 to 30 of about 673,590 (252)

ℒ-Fuzzy Cosets of ℒ-Fuzzy Filters of Residuated Multilattices

International Journal of Mathematics and Mathematical Sciences, 2022
This paper mainly focuses on building the ℒ-fuzzy filter theory of residuated multilattices. Firstly, we introduce the concepts of ℒ-fuzzy filter and ℒ-fuzzy deductive system of residuated multilattices.
Pierre Carole Kengne, Blaise Bleriot Koguep Njionou, Daquin Cèdric Awouafack, Luc Eméry Diékouam Fotso   +3 more
doaj   +2 more sources

Some decompositions of filters in residuated lattices [PDF]

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper we introduce a new class of residuated lattice: residuated lattice with (C∧&→) property and we prove that (C∧&→) ⇔ (C→) + (C∧).Also, we introduce and characterize C→, C∨, C∧ and C∧ & → filters in residuated lattices (i.e., we characterize ...
Piciu Dana, Dan Christina Theresia, Chirteş Florentina   +2 more
doaj   +2 more sources

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

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   +2 more sources

Classes of Int-Soft Filters in Residuated Lattices [PDF]

ScientificWorldJournal, 2014
Young Bae Jun, Sun Shin Ahn, Kyoung Ja Lee   +2 more
openalex   +2 more sources

Pointed Lattice Subreducts of Varieties of Residuated Lattices [PDF]

Order
Abstract We study the pointed lattice subreducts of varieties of residuated lattices (RLs) and commutative residuated lattices (CRLs), i.e. lattice subreducts expanded by the constant $$\textsf{1}$$ 1 denoting the multiplicative ...
Adam Přenosil
openaire   +3 more sources

Residuation in twist products and pseudo-Kleene posets [PDF]

Mathematica Bohemica, 2022
M. Busaniche, R. Cignoli (2014), C. Tsinakis and A. M. Wille (2006) showed that every residuated lattice induces a residuation on its full twist product. For their construction they used also lattice operations.
Ivan Chajda, Helmut Länger
doaj   +1 more source

Residuated Structures and Orthomodular Lattices [PDF]

Studia Logica, 2021
AbstractThe variety of (pointed) residuated lattices includes a vast proportion of the classes of algebras that are relevant for algebraic logic, e.g., $$\ell $$ ℓ -groups, Heyting algebras, MV-algebras, or De Morgan monoids.
fazio, davide, ledda, antonio, paoli, francesco   +2 more
openaire   +3 more sources

Residuated Lattices with Noetherian Spectrum

Mathematics, 2022
In this paper, we characterize residuated lattices for which the topological space of prime ideals is a Noetherian space. The notion of i-Noetherian residuated lattice is introduced and related properties are investigated.
Dana Piciu, Diana Savin
doaj   +1 more source

Intuitionistic FWI-ideals of residuated lattice Wajsberg algebras

Ratio Mathematica, 2021
The notions of intutionistic fuzzy Wajsberg implicative ideal( –ideal) and intuitionistic fuzzy lattice ideal of residuated Wajsberg algebras are introduced.
Shanmugapriya R. Shanmugapriya, Ibrahim Abdul   +1 more
doaj   +1 more source

Graph based on residuated lattices [PDF]

Journal of Hyperstructures, 2014
In this paper, the residuated graph of residuated lattices will be studied. To do so, the notion of zero divisors of a nonempty subset of a residuated lattice is first introduced and some related properties are investigated.
L. Torkzadeh, A. Ahadpanh, M. Behzadi
doaj   +1 more source