Biblioteca de la Universidad Complutense de Madrid

On the monotonicity of the compromise set in multicriteria problems


Blasco Contreras, Fernando y Cuchillo Ibáñez, Eduardo y Morón, Manuel A. y Romero López, Carlos (1999) On the monotonicity of the compromise set in multicriteria problems. Journal of optimization theory and applications, 102 (1). pp. 69-82. ISSN 0022-3239

[img] PDF
Restringido a Sólo personal autorizado del repositorio hasta 31 Diciembre 2020.


URL Oficial:


This paper discusses the extension of results on monotonicity of the compromise set valid for bicriteria problems to general multicriteria problems under a very general condition, which is assumable in compromise programming problems coming from economics. Mainly, the problem that we treat is the following: find and describe the compromise set when the feasible set is a convex set in the positive cone, limited by a level hypersurface of a differentiable production-transformation function. This scenario is usual in many economic applications, chiefly in production analysis.

Tipo de documento:Artículo
Palabras clave:Optimization; compromise programming; compromise set; convexity; economics; monotonicity; p-norms
Materias:Ciencias > Matemáticas > Teoría de conjuntos
Ciencias > Matemáticas > Topología
Código ID:15447

Yu, P. L., A Class of Solutions for Group Decision Problems, Management Science, Vol. 19, pp. 936-946, 1973.

ZELENY, M., Compromise Programming, Multiple-Criteria Decision Making, Edited by J. L. Cochrane and M. Zeleny, University of South Carolina Press, Columbia, South Carolina, pp. 262-301, 1973.

ZELENY, M., A Concept of Compromise Solutions and the Method of the Displaced Ideal, Computers and Operations Research, Vol. 1, pp. 479-496, 1974.

Yu, P. L., Multiple-Criteria Decision Making: Concepts, Techniques, and Extensions, Plenum Press, New York, New York, 1985.

DIAZ, A., Interactive Solution to Multiobjective Optimization Problems, International Journal for Numerical Methods in Engineering, Vol. 24, pp. 1865-1877, 1987.

LEE, E. S., and Li, R. J., Fuzzy Multiple Objective Programming and Compromise Programming with Pareto Optimum, Fuzzy Sets and Systems, Vol. 53, pp. 275-288, 1993.

CARLSSON, C., and FULLER, R., Fuzzy Multiple-Criteria Decision Making:Recent Developments, Fuzzy Sets and Systems, Vol. 78, pp. 139-153, 1996.

BALLESTERO, E., and ROMERO, C., A Theorem Connecting Utility Functions Optimization and Compromise Programming, Operations Research Letters, Vol. 10, pp. 421-427, 1991.

MORON, M. A., ROMERO, C., and Ruiz DEL PORTAL, F. R., Generating Well-Behaved Utility Functions for Compromise Programming, Journal of Optimization Theory and Applications, Vol. 91, pp. 643-649, 1996.

FREIMER, M., and Yu, P. L., Some New Results on Compromise Solutions for Group Decision Problems, Management Science, Vol. 22, pp. 688-693, 1976.

HEUSER, H. G., Functional Analysis, John Wiley and Sons, New York, New York, 1982.

ENOELKING, R., General Topology, Heldermann-Verlag, Berlin, Germany, 1989.

BALLESTERO, E., and ROMERO, C., Multiple-Criteria Decision Making and Its Application to Economic Problems, Kluwer Academic Publishers, Boston, Massachusetts, 1998.

Depositado:31 May 2012 10:38
Última Modificación:06 Feb 2014 10:24

Sólo personal del repositorio: página de control del artículo