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Partition Relations and Transitivity Domains of Binary Relations

Journal of the London Mathematical Society, 1967
The main theorem is Theorem 2: For all positive integers \(m\) and \(n\), for some positive integer \(l(m,n)\), for each ordinal number \(\alpha\), \(\omega_\alpha l(m,n) \to (m,\omega_\alpha n)^2\); if \(l_\alpha(m,n)\) is the least such \(l(m,n)\) for a given \(\alpha\), then \(\gamma \mapsto(m,\omega_\alpha n)^2\) for each \(\gamma > \omega_\alpha ...
Erdős, Paul, Rado, R.
openaire   +2 more sources

On the Transitivity of Fuzzy Indifference Relations

2003
Transitivity is an essential property in preference modelling. In this work we study this property in the framework of fuzzy preference structures. In particular, we discuss the relationship between the transitivity of a fuzzy large preference relation R and the transitivity of the fuzzy indifference relation I obtained from R by some of the most ...
Susana Díaz   +2 more
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Relational Transition System in Maude

2017
Transition systems in which the state is described by a relational database found applications in artifact centric business process modeling, where the business artifacts are often modeled relationaly. We describe a framework implemented in term rewriting system Maude for specifying and model checking relational transition systems.
Bartosz Zielinski 0002, Pawel Maslanka
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Cyclic Evaluation of Transitivity of Reciprocal Relations

Social Choice and Welfare, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
De Baets, B.   +3 more
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On the transitivity of the relation β in semihypergroups

Rendiconti del Circolo Matematico di Palermo, 1996
A significant result in the hypergroup theory is the one given by D. Freni in 1991, that is that in a hypergroup \(\beta=\beta^*\). The aim of the paper under review is to characterize semihypergroups in which the relation \(\beta\) is transitive. The main theorem gives a necessary and sufficient condition such that \(\beta\) is transitive.
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RELATIONS ADMITTING A TRANSITIVE GROUP OF AUTOMORPHISMS

Mathematics of the USSR-Sbornik, 1975
The concepts of a Cayley relation of arbitrary arity and a quotient relation are defined. Cayley relations are characterized as those relations whose automorphism groups contain regular subgroups. The freedom of Cayley relations is proved: any relation with a transitive automorphism group is isomorphic to a quotient relation of a Cayley relation.Using ...
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TRANSITIVITY OF  -RELATION ON HYPERMODULES

2008
iV In this paper we consider a strongly regular relation ƒa on hypermodules so that the quotient is amodule (with abelian group) over a fundamental commutative ring. Also, we state necessary and sufficientconditions so that the relation ƒa is transitive, and finally we prove that ƒa is transitive on hypermodules.
ANVARIYEH, S. M   +2 more
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Relational Transitions

2010
Beatrice Hale   +2 more
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