Results 291 to 300 of about 2,356,447 (321)

Subgroups of Binary Relations [PDF]

, 1974
A binary relation defined on a set containing n elements can be interpreted as an n × n incidence matrix. Such matrix may be taken either over the two element boolean algebra or over the field Z2 . The main purpose of this paper is to study the incidence subgroups and the collineation subgroups of semigroups of binary relations.
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An algebraic approach to binary relations

, 2015
Several attempts were made to assign to a given binary relation a certain binary operation in order to allow an algebraic approach for investigating binary relations.
I. Chajda, H. Länger, P. Ševčík
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REPRESENTATIONS OF ORDERED DIMONOIDS BY BINARY RELATIONS

, 2014
We introduce the notion of an ordered dimonoid and prove that every ordered dimonoid can be exactly represented as an ordered dimonoid of binary relations.
Yuriy V. Zhuchok
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Transformation of binary relations

Proceedings of the Sixth International Conference on Computer Supported Cooperative Work in Design (IEEE Cat. No.01EX472), 2002
In the object-oriented paradigm, as complexity rises, the cost of developing and maintaining software systems grows exponentially. This complexity emerges from the continuous evolution of software systems to cope with changing requirements. This crucial problem can be dealt with by performing an active transformation of the elements (i.e.
E. Steegmans, J. Said
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Sets and Binary Relations

2020
In the first sections of this chapter, we provide well-known fundamentals of linear spaces and topological spaces, binary relations and cones. We add some new results and details that are necessary for the understanding of the following chapters and for the proofs therein. Furthermore, our notation is introduced.
Petra Weidner, Christiane Tammer
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-hypergroups and -semihypergroups associated to binary relations

, 2011
The concept of  -semihypergroups is a generalization of semigroups, a generalization of semihypergroups and a generalization of  -semigroups. In this paper, we study the concept of semiprime ideals in a  -semihypergroup and prove some results.
D. Heidari, B. Davvaz
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Binary Relations

Basic Abstract Algebra, 2022
I. M. Araújo, Robert E. Arthur, Hans Ulrich Besche, Thomas Bischops, Oliver Bonten, T. Breuer, F. Celler, G. Cooperman, B. Eick, V. Felsch, F. Gähler, Greg Gamble, W. D. Graaf, B. Höfling, Jens Hollmann, Derek Holt, E. Horváth, A. Hulpke, A. Kaup, Susanne Keitemeier, S. Linton, Frank Lübeck, B. Majewski, J. Meier, Thomas Merkwitz, Wolfgang Merkwitz, J. Mitchell, J. Mnich, R. F. Morse, Scott Murray, E. Robertson, C. Roney-Dougal, Ute Schiffer, J. Schmidt, M. Schönert, Á. Seress, A. Solomon, H. Theissen, S. Kohl   +38 more
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STRUCTURE OF FUZZY BINARY RELATIONS

Fuzzy Sets and Systems, 1981
The structure of fuzzy binary relations of indifference and preference is studied. The full description of fuzzy equivalence relations in terms of fuzzy partitions is given. All possible logical relations between various transitivity properties of fuzzy preferences are established.
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Binary Relations and Preference Modeling

Decision-making Process, 2010
The literature on preference modeling is vast. This can first be explained by the fact that the question of modeling preferences occurs in sev eral disciplines, e.g. – in Economics, where one tries to model the preferences of a ‘ rational consumer’ [e.g.
D. Bouyssou, P. Vincke
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Valued binary relations

1994
Binary relations play a central role in various fields of mathematics. Especially, equivalence relations and different kinds of ordering relations are employed in basic mathematical models. Typical areas are decision making and measurement theory. In addition, applications of binary relations appear naturally in social sciences.
János Fodor, Marc Roubens
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