Results 31 to 40 of about 18,279 (288)

On generalized topological molecular lattices [PDF]

Sahand Communications in Mathematical Analysis, 2018
In this paper, we introduce the concept of the generalized topological molecular lattices as a generalization of Wang's topological molecular lattices,  topological spaces, fuzzy topological spaces, L-fuzzy topological spaces and soft topological spaces.
Narges Nazari, Ghasem Mirhosseinkhani
doaj   +1 more source

Combinations of L-Complex Fuzzy t-Norms and t-Conorms

Zanco Journal of Pure and Applied Sciences, 2022
This paper investigates the study of -complex fuzzy sets. The -complex fuzzy set, where is a completely distributive lattice, is a generalization of the complex fuzzy set.
Pishtiwan O. Sabir , Aram N. Qadir
doaj   +1 more source

A Novel Concept of Fuzzy Subsemigroup (Ideal)

Journal of Mathematics, 2022
This paper focuses on a generalized definition of fuzzy subsemigroup (ideal) on semigroup. Let L be a completely distributive lattice; we introduce the definition of L-fuzzy ideal and also the novel concept of subsemigroup (ideal) on semigroup.
Yu-Hong Che, Qi Liu
doaj   +1 more source

L-Quasi (Pseudo)-Metric in L-Fuzzy Set Theory

Mathematics, 2023
The aim of this paper is to focus on the metrization question in L-fuzzy sets. Firstly, we put forward an L-quasi (pseudo)-metric on the completely distributive lattice LX by comparing some existing lattice-valued metrics with the classical metric and ...
Peng Chen, Bin Meng, Xiaohui Ba
doaj   +1 more source

A Generalized Definition of Fuzzy Subrings

Journal of Mathematics, 2022
In this study, under the condition that L is a completely distributive lattice, a generalized definition of fuzzy subrings is introduced. By means of four kinds of cut sets of fuzzy subset, the equivalent characterization of L-fuzzy subring measures are ...
Ying-Ying An, Fu-Gui Shi, Lan Wang
doaj   +1 more source

Expansion Theory of Deng’s Metric in [0,1]-Topology

Mathematics, 2023
The aim of this paper is to focus on a fuzzy metric called Deng’s metric in [0,1]-topology. Firstly, we will extend the domain of this metric function from M0×M0 to M×M, where M0 and M are defined as the sets of all special fuzzy points and all standard ...
Bin Meng, Peng Chen, Xiaohui Ba
doaj   +1 more source

Complete Congruence Lattices of Complete Distributive Lattices

Journal of Algebra, 1995
The authors deal with the question of whether every complete lattice \(L\) is isomorphic to the lattice of complete congruence relations of a suitable complete lattice \(K\). They prove that \(K\) can always be chosen as a complete distributive lattice. In fact, they prove a more general result: Let \(m\) be a regular cardinal \(>\aleph_ 0\). Every \(m\
Gratzer, G., Schmidt, E.T.
openaire   +2 more sources

Bases in completely distributive lattice-ordered groups.

Michigan Mathematical Journal, 1976
R. Redfield
openaire   +3 more sources

Equalizer in the Kleisli category of the $n$-fuzzy powerset monad [PDF]

Journal of Mahani Mathematical Research
In this article, we first consider the $L$-fuzzy powerset monad on a completely distributive lattice $L$. Then for $L=[n]$, we investigate the fuzzy powerset monad on $[n]$ and we introduce simple, subsimple and quasisimple $L$-fuzzy sets.
Seyed Naser Hosseini, Yousef Qasemi Nezhad   +1 more
doaj   +1 more source

Completely distributive latices [PDF]

Fundamenta Mathematicae, 1983
A map p from a complete lattice L to itself is said to \(\vee\)-define L, if \(a=\sup\{b|\) \(a\nleq p(b)\}\) for all a,\(b\in L\). The main result: A complete lattice is completely distributive if and only if there exists a map p:\(L\to L\) which \(\vee\)-defines L. Several examples are given and some known characterizations of completely distributive
openaire   +1 more source