Results 81 to 90 of about 74,358 (176)

On profiniteness and Hausdorffness of topological residuated lattices

, 2023
The aim of this paper is to study the profiniteness of compact topological residuated lattices and the existence of Hausdorff topological residuated lattices.
Wang, Juntao, He, Pengfei, Yang, Jiang
core  

Fuzzy ideals and fuzzy congruences of co-residuated lattices [PDF]

Journal of Hebei University of Science and Technology
In order to expand the theory of fuzzy logic algebra, the fuzzy ideals and fuzzy congruences of co-residuated lattices and their interrelationships were studied.
Xinyue HAN, Wei YAO
doaj   +1 more source

On residuated n -lattice

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică
Abstract In this paper, we introduce residuated n-lattice: a variety of residuated semigroup equipped with binary hyperoperations n-sup and n-inf. We define the left bound, right bound, n-supremum, n-infimum, maximum and minimum with respect to it′s relation. By these way, the notion of residuated semigroup has been generalized.
Zahiri Saeide, Saeid Arsham Borumand
openaire   +2 more sources

Alexandrov L-Fuzzy Pre-Proximities

Mathematics, 2019
In this paper, we introduce the concepts of Alexandrov L-fuzzy pre-proximities on complete residuated lattices. Moreover, we investigate their relations among Alexandrov L-fuzzy pre-proximities, Alexandrov L-fuzzy topologies, L-fuzzy upper approximate ...
Yong Chan Kim, Ju-Mok Oh
doaj   +1 more source

Residuated lattices : an algebraic glimpse at substructural logics /

, 2007
The book is meant to serve two purposes. The first and more obvious one is to present state of the art results in algebraic research into residuated structures related to substructural logics. The second, less obvious but equally important, is to provide
Galatos, Nikolaos.
core  

An Exploration of Ideals and Filters in Triangle Algebras

Axioms
In the study of algebraic structures related to logical systems, ideals and filters have different meanings and are algebraic notions related to logical provable formulas.
Euclide Noumen, Fabrice Tchoua Yinga, Blaise Blériot Koguep Njionou, Chris Cornelis   +3 more
doaj   +1 more source

(f, g)-DERIVATIONS IN RESIDUATED LATTICES [PDF]

Journal of Algebraic Systems
In this paper, we present and examine the characteristics of (f, g)-derivations for a residuated lattice. Some relationships between (f, g)-derivationand isotone, contractive and ideal (f, g)-derivations are given.
Mbarek Zaoui, Driss Gretete, Brahim Fahid   +2 more
doaj   +1 more source

Some properties of residuated lattices [PDF]

, 2000
summary:We investigate some (universal algebraic) properties of residuated lattices—algebras which play the role of structures of truth values of various systems of fuzzy ...
Bělohlávek, Radim, Dudek, Wiesław A., Qin, Keyun, Radim Bìlohlávek, Zhang, Xiaohong   +4 more
core   +1 more source

Unilinear residuated lattices: axiomatization, varieties and FEP

, 2023
We characterize all residuated lattices that have height equal to $3$ and show that the variety they generate has continuum-many subvarieties. More generally, we study unilinear residuated lattices: their lattice is a union of disjoint incomparable ...
Galatos, Nick, Zhuang, Xiao
core  

Interior and Closure Operators on Commutative Bounded Residuated Lattices [PDF]

, 2013
summary:Commutative bounded integral residuated lattices form a large class of algebras containing some classes of algebras behind many valued and fuzzy logics.
Rachůnek, Jiří, Svoboda, Zdeněk
core   +1 more source