Results 31 to 40 of about 16,063 (299)

Novel Characterizations of $LM$-Fuzzy Open Operators [PDF]

Transactions on Fuzzy Sets and Systems, 2022
In this paper, we present some characterizations of the $LM$-fuzzy interior operator, the $LM$-fuzzy closure operator, $LM$-fuzzy semiopen operator and $LM$-fuzzy preopen operator in an $LM$-fuzzy topological space.
Fu-Gui Shi
doaj   +1 more source

Axiomatic systems of Alexandrov spaces

Journal of Hebei University of Science and Technology, 2017
In order to study internel axiomatic systems and ordered features of Alexandrov spaces, with the help of some existed results in topology and locale theory, by restricting the related structures into Alexandrov setting, some equivalent descriptions are ...
Shanshan ZHANG, Fei LI, Wei YAO
doaj   +1 more source

Operational closure and stability [PDF]

Annals of Pure and Applied Logic, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Galois connections between sets of paths and closure operators in simple graphs

Open Mathematics, 2018
For every positive integer n,we introduce and discuss an isotone Galois connection between the sets of paths of lengths n in a simple graph and the closure operators on the (vertex set of the) graph.
Šlapal Josef
doaj   +1 more source

The characterizations of upper approximation operators based on special coverings

Open Mathematics, 2017
In this paper, we discuss the approximation operators apr¯NS${\overline {apr} _{NS}}$ and apr¯S${\overline {apr} _S}$ which are based on NS(U) and S.
Wang Pei, Li Qingguo
doaj   +1 more source

A Theory of Closure Operators [PDF]

, 2008
We explore how fixed-point operators can be designed to interact and be composed to form autonomic control mechanisms. We depart from the idea that an operator is idempotent only for the states that it assures, and define a more general concept in which acceptable states are a superset of assurable states.
Alva L. Couch, Marc Chiarini
openaire   +1 more source

Multipliers in weak Heyting algebras [PDF]

Journal of Mahani Mathematical Research
In this paper, we introduce the notion of multipliers in weak Heyting algebras and investigate some related properties of them. We obtain the relations between multipliers, closure operators, and homomorphisms in weak Heyting algebras.
Shokoofeh Ghorbani
doaj   +1 more source

Primal Structure with Closure Operators and Their Applications

Mathematics, 2023
Acharjee et al. have created a new structure in mathematics called a primal. Therefore, the primary goal of this research was to introduce and explore more primal space features.
Ahmad Al-Omari, Mesfer H. Alqahtani
doaj   +1 more source

gp alpha Kuratowski's Closure Operators in topological spaces

Ratio Mathematica, 2021
In this paper, we introduce and study topological properties of $gp\alpha$-limit points, $gp\alpha$-derived sets, $gp\alpha$-interior, and $gp\alpha$-closure using the concept of $gp\alpha$-open set.
P G Patil, Bhadramma Pattanasgetti
doaj   +1 more source

Polymatroids, Closure Operators and Lattices

Order, 2022
We study the closure operators of polymatroids from a lattice theoretic point of view. We show that polymatroid closure operators relate to lattices enriched with a generating set in the same way that matroids relate to geometric lattices. Through this relation we define a notion of minors for lattices enriched with a generating set. For the lattice of
openaire   +3 more sources