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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-related properties of fuzzy strict preference relations

Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569), 2002
Given a fuzzy relation, S. Ovchinnikov and M. Roubens (1991) introduce a very general definition of fuzzy strict preference. The author investigates its transitivity-related properties including weak transitivity, consistency, acyclicity, etc.
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AGGREGATING TRANSITIVE FUZZY BINARY RELATIONS

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1995
We discuss the aggregation problem for transitive fuzzy binary relations. An aggregation procedure assigns a group fuzzy binary relation to each finite set of individual binary relations. Individual and group binary relations are assumed to be transitive fuzzy binary relation with respect to a given continuous t-norm.
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Relative Quaternion State Transition Relation

Journal of Guidance and Control, 1979
The attitude of a maneuvering spacecraft relative to a desired noninertial reference is compactly represented in the quaternion format by the relative quaternion. The popular technique for bootstrapping the relative quaternion relies on the state transition matrix for the quaternion strapdown equations of motion wherein the rates are estimates of ...
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Operators over relations preserving transitivity

Discrete Mathematics and Applications, 1998
Summary: Let \({\mathcal T}={\mathcal T}(A)\) be the class of all transitive relations on a finite set \(A\). We say that an operator \(r= F(r_1,\dots, r_n)\) on the set of relations preserves transitivity if \[ r_1,\dots, r_n\in{\mathcal T}\Rightarrow r\in{\mathcal T}. \] Let us introduce operators \(\tau^{(u)}_n(r_1,\dots, r_n)\), \(u= 0,1\), \(n\geq
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Logics with Transitive Accessibility Relations

2014
This chapter is about the model construction problem in classes of models satisfying the constraint of transitivity. We present the modal logics of the class of models where the accessibility relation is transitive (K4), transitive and serial (KD4), and transitive and reflexive (KT4, alias S4).
Olivier Gasquet   +3 more
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Transition-Related Problem Behavior

2023
Daniel R. Mitteer   +3 more
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Relational Transitions

2010
Beatrice Hale   +2 more
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Symmetry relations at phase transitions

Abstract According to Ehrenfest, a phase transitions in the solid state is of first order if the entropy or the volume change is discontinuous; if both are continuous, the phase transition is of second order. In a more recent classification, a phase transition is discontinuous if the entropy and an order parameter change discontinuously ...
Ulrich Müller, Gemma de la Flor
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Transitive decomposition of min-transitive fuzzy relations

2006
S. Díaz, B. De Baets, S. Montes
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