UNIVERSAL CODOMAINS TO REPRESENT INTERVAL ORDERS-Reference-Cited by-同舟云学术

UNIVERSAL CODOMAINS TO REPRESENT INTERVAL ORDERS

Published:2009-04 Issue:02 Volume:17 Page:197-219
ISSN:0218-4885
Container-title:International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
language:en
Short-container-title:Int. J. Unc. Fuzz. Knowl. Based Syst.

Author:

CANDEAL JUAN CARLOS¹,GARCÍA JAVIER GUTIÉRREZ²,INDURÁIN ESTEBAN³

Affiliation:

1. Depto. de Análisis Económico, Facultad de Ciencias Económicas y Empresariales, Universidad de Zaragoza. c/ Doctor Cerrada 1-3, 50005 Zaragoza, Spain

2. Depto. de Matemáticas, Universidad del País Vasco-Euskal Herriko Unibertsitatea, Apdo. 644, 48080 Bilbao, Spain

3. Depto. de Matemáticas, Universidad Pública de Navarra, Campus Arrosadía, 31006 Pamplona, Spain

Abstract

Given a binary relation defined on a set, we study its representability by means of a monotonic function that takes values on a suitable universal codomain (that depends on the kind of relation considered). We pay an special attention to the representability of interval orders, studying their alternative universal codomains, some of them equivalent to the set of symmetric triangular fuzzy numbers.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218488509005814

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