Results 131 to 140 of about 13,568 (163)

Operations on Closure Operators

1995
Despite the powerful continuity condition, the notion of closure operator is very general. It is therefore important to provide tools for improving a given operator. Fortunately, there is a natural lattice structure for closure operators that allows us to distinguish between properties stable under meet (idempotency, hereditariness, productivity), and ...
D. Dikranjan, W. Tholen
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Connectedness with Respect to a Closure Operator

Applied Categorical Structures, 2001
For categories \(\mathcal C\) that are supplied with a factorization structure \(({\mathcal E}, M)\) for sinks, a closure operator \(C\) and a subclass \(N\) of \(M\), the author introduces a concept of connected objects. He demonstrates that under suitable additional conditions on \(\mathcal C\) many classical results about topological connectedness ...
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FUZZIFYING CLOSURE SYSTEMS AND CLOSURE OPERATORS

2011
In this paper, we propose the concepts of fuzzifying closure systems and Birkhoff fuzzifying closure operators. In the framework of fuzzifying mathematics, we find that there still exists a one to one correspondence between fuzzifying closure systems and Birkhoff fuzzifying closure operators as in the case of classical mathematics.
Luo, Xiaoli, Fang, Jinming
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Representations of structural closure operators

Archive for Mathematical Logic, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Divisibility Closure Operations

Journal of the London Mathematical Society, 1954
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Insertion operations: Closure properties

Bull. EATCS, 1993
The paper investigates closure properties of families of languages (in Chomsky hierarchy) under various variants of insertion operations as introduced by the author [On insertion and deletion operations in formal languages, PhD Thesis, Univ. of Turku, Dept. of Math., 1991].
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On the Succinctness of Closure Operator Representations

2014
It is widely known that closure operators on finite sets can be represented by sets of implications (also known as inclusion dependencies) as well as by formal contexts. In this paper, we consider these two representation types, as well as generalizations of them: extended implications and context families.
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Topological approaches to rough approximations based on closure operators

Granular Computing, 2021
Mostafa K El-Bably, Kamel K Fleifel, O A Embaby   +2 more
exaly  

On implicative closure operators in approximate reasoning

International Journal of Approximate Reasoning, 2003
Francesc Esteva, Lluís Godo
exaly  

Mackey Closure Operators

Journal of the London Mathematical Society, 1971
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