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Path-induced closure operators on graphs for defining digital Jordan surfaces

Open Mathematics, 2019
Given a simple graph with the vertex set X, we discuss a closure operator on X induced by a set of paths with identical lengths in the graph. We introduce a certain set of paths of the same length in the 2-adjacency graph on the digital line ℤ and ...
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

Parametric Closed Classes of Hyperfunctions on Two-Element Set

Известия Иркутского государственного университета: Серия "Математика", 2016
One of the direction in discrete function's investigations is research of functional systems: the sets of functions and the sets of operators defined on this functions.
L. Ryabets
doaj  

All about unambiguous polynomial closure [PDF]

TheoretiCS
We study a standard operator on classes of languages: unambiguous polynomial closure. We prove that for every class C of regular languages satisfying mild properties, the membership problem for its unambiguous polynomial closure UPol(C) reduces to the ...
Thomas Place, Marc Zeitoun
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Classification of Multioperations of Rank 2 by E-precomplete Sets

Известия Иркутского государственного университета: Серия "Математика", 2020
In this paper multioperations defined on a two-element set and their closure operator based on composition operator and the equality predicate branching operator is considered. The composition operator is based on union of sets.
V.I. Panteleev, L.V. Ryabets
doaj   +1 more source

Theoretical Properties of Closed Frequent Itemsets in Frequent Pattern Mining

Mathematics
Closed frequent itemsets (CFIs) play a crucial role in frequent pattern mining by providing a compact and complete representation of all frequent itemsets (FIs).
Huina Zhang, Hui Li, Yumei Li, Guangqiang Teng, Xianbing Cao   +4 more
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$r$-fuzzy regular semi open sets in smooth topological spaces [PDF]

Sahand Communications in Mathematical Analysis, 2017
In this paper, we introduce and study the concept of $r$-fuzzy regular semi open (closed) sets in smooth topological spaces. By using $r$-fuzzy regular semi open (closed) sets, we define a new fuzzy closure operator namely $r$-fuzzy regular semi interior
Appachi Vadivel, Elangovan Elavarasan
doaj  

Fuzzy θ-closure operator on fuzzy topological spaces

International Journal of Mathematics and Mathematical Sciences, 1991
The paper contains a study of fuzzy θ-closure operator, θ-closures of fuzzy sets in a fuzzy topological space are characterized and some of their properties along with their relation with fuzzy δ-closures are investigated.
M. N. Mukherjee, S. P. Sinha
doaj   +1 more source

Linear Programming Problems in Network Coding and Closure Operators via Partitions

Selecciones Matemáticas, 2019
A network is an acyclic directed graph in which there are sources that have some messages and want to transmit to receivers through the combination of messages in intermediate nodes.
Victor Peña-Macias, Humberto Sarria
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Characterization of neighborhood operators based on neighborhood relationships

Journal of Intelligent Systems
Neighborhood relationships play a pivotal role in rough set theory, addressing the limitations of equivalence relations. This article focuses on defining upper and lower approximation operators using neighborhood relationships and exploring their ...
Caixin Wei, Pei Wang, Rongrong Xu, Wanyuan Huang   +3 more
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