Results 41 to 50 of about 2,422,771 (248)

Compressed Data Structures for Binary Relations in Practice

open access: yesIEEE Access, 2020
Binary relations are commonly used in Computer Science for modeling data. In addition to classical representations using matrices or lists, some compressed data structures have recently been proposed to represent binary relations in compact space, such ...
Carlos Quijada Fuentes   +3 more
doaj   +1 more source

Binary relations and reduced hypergroups

open access: yesDiscrete Mathematics, 2008
Let \(H\) be a nonempty set, \(\mathcal P(H)^*\) the family of nonempty subsets of \(H\) and \(\cdot\) a hyperoperation in \(H\), that is, \(\cdot\colon H\times H\to\mathcal P(H)^*\). J. Jantosciak defined three fundamental equivalence relations on any hypergroupoid \((H,\cdot)\) as follows: Let \(x,y\in H\), then (i) \(x\) and \(y\) are said to be ...
Cristea, Irina, Ştefănescu, Mirela
openaire   +1 more source

Topological Structures on Vertex Set of Digraphs

open access: yesمجلة بغداد للعلوم, 2023
Relation on a set is a simple mathematical model to which many real-life data can be connected. A binary relation  on a set  can always be represented by a digraph. Topology on a set  can be generated by binary relations on the set .
K. Lalithambigai, P. Gnanachandra
doaj   +1 more source

Selective games on binary relations

open access: yesTopology and its Applications, 2015
28 ...
Dias, Rodrigo R., Scheepers, Marion
openaire   +3 more sources

Divisibility of binary relations [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1971
In his paper in Mat. Sb. (N.S.) 61 (103) (1963), Zareckiĭ associated with any binary relation α an ordered pair, (Lα Mα), say, of lattices and showed that α is a left [right] divisor of β if and only if We provide an alternative proof of this result by embedding the category of relations in the category of sets.
Fitz-Gerald, D. G., Preston, G. B.
openaire   +1 more source

Binary relations applied to the fuzzy substructures of quantales under rough environment

open access: yesDemonstratio Mathematica
Binary relations (BIRs) have many applications in computer science, graph theory, and rough set theory. This study discusses the combination of BIRs, fuzzy substructures of quantale, and rough fuzzy sets.
Mazher Qurashi Saqib   +4 more
doaj   +1 more source

Boyd-Wong type functional contractions under locally transitive binary relation with applications to boundary value problems

open access: yesAIMS Mathematics
The area of metric fixed point theory applied to relational metric spaces has received significant attention since the appearance of the relation-theoretic contraction principle.
Ahmed Alamer , Faizan Ahmad Khan
doaj   +1 more source

Generalized Weak Contractions Involving a Pair of Auxiliary Functions via Locally Transitive Binary Relations and Applications to Boundary Value Problems

open access: yesMathematics
The intent of this paper was to investigate the fixed-point results under relation-theoretic generalized weak contractivity condition employing a pair of auxiliary functions ϕ and ψ verifying appropriate properties.
Nidal H. E. Eljaneid   +5 more
doaj   +1 more source

Neutrosophic Hypercompositional Structures defined by Binary Relations [PDF]

open access: yesNeutrosophic Sets and Systems, 2014
The objective of this paper is to study neutrosophic hypercompositional structures arising from the hypercompositions derived from the binary relations on a neutrosophic set.
A.A.A. Agboola, S.A. Akinleye
doaj  

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