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Algebras of Distributions of Binary Formulas for Theories of Archimedean Solids

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2019
Algebras of distributions of binary isolating and semi-isolating formulas are derived objects for given theory and reflect binary formula relations between realizations of 1-types.
D.Yu. Emelyanov
doaj   +1 more source

BI-CONJUGATIVE RELATIONS [PDF]

open access: yesRomanian Journal of Mathematics and Computer Science, 2014
In this paper the concept of bi-conjugative relations on sets is introduced. Characterizations of this relations are obtained. In addition, particulary we show that the anti-order relation \not\le in poset (L, \le) is not a bi-conjugative relation.
DANIEL ABRAHAM ROMANO
doaj  

Feed-Forward Neural Networks Need Inductive Bias to Learn Equality Relations [PDF]

open access: yes, 2018
Basic binary relations such as equality and inequality are fundamental to relational data structures. Neural networks should learn such relations and generalise to new unseen data.
Kopparti, R. M., Weyde, T.
core   +1 more source

Traces of Ternary Relations Based on Bandler–Kohout Compositions

open access: yesMathematics
Recently, we have introduced and studied all possible four-point compositions (one degree of freedom) and five-point compositions (two degrees of freedom) of ternary relations in analogy with the usual composition of binary relations.
Lemnaouar Zedam   +2 more
doaj   +1 more source

On semigroups of relations with the operation of the rectangular product [PDF]

open access: yesИзвестия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
A set of binary relations closed with respect to some collection of operations on relations forms an algebra called an algebra of relations. The theory of algebras of relations is an essential part of modern algebraic logic and has numerous applications ...
Bredikhin, Dmitry Aleksandrovich
doaj   +1 more source

Decomposition and Arrow-Like Aggregation of Fuzzy Preferences

open access: yesMathematics, 2020
We analyze the concept of a fuzzy preference on a set of alternatives, and how it can be decomposed in a triplet of new fuzzy binary relations that represent strict preference, weak preference and indifference.
Armajac Raventós-Pujol   +2 more
doaj   +1 more source

Undecidability of representability as binary relations

open access: yesThe Journal of Symbolic Logic, 2012
AbstractIn this article we establish the undecidability of representability and of finite representability as algebras of binary relations in a wide range of signatures. In particular, representability and finite representability are undecidable for Boolean monoids and lattice ordered monoids, while representability is undecidable for Jónsson's ...
Hirsch, Robin., Jackson, Marcel.
openaire   +3 more sources

ON THE EVOLUTION OF WOLF-RAYET STARS IN CLOSE BINARY SYSTEMS

open access: yesOdessa Astronomical Publications, 2017
The statistical study of the mass ratios of the components and eccentricities of close binary systems was made. Relations between these characteristics are obtained.
A. M. Cherepashchuk, V. G. Karetnikov
doaj   +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

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