Connectedness of the efficient set for three-objective quasiconcave maximization problems

Journal of Optimization Theory and Applications

Volumn 93, Issue 3, 1997, Pages 517-524

  Daniilidis, A ^a   Hadjisavvas, N ^a   Schaible, S ^b  

^a UNIVERSITY OF THE AEGEAN   (Greece)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Connectedness; Efficient solution set; Multi objective maximization; Semistrictly quasiconcave functions

Indexed keywords

FUNCTIONS;

CONNECTEDNESS; EFFICIENT SETS; EFFICIENT SOLUTION SET; MAXIMIZATION PROBLEM; MULTI OBJECTIVE; MULTI-OBJECTIVE MAXIMIZATION; QUASICONCAVE FUNCTIONS; SEMISTRICTLY QUASICONCAVE; SEMISTRICTLY QUASICONCAVE FUNCTION; SOLUTIONS SETS;

SET THEORY;

EID: 0031517470     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022634827916     Document Type: Article

References (8)

1. NACCACHE, P. H., Connectedness of the Set of Nondominated Outcomes in Multi-criteria Optimization, Journal of Optimization Theory and Applications, Vol. 25, pp. 459-467, 1978.
2. WARBURTON, A. R., Quasiconcave Vector Maximization: Connectedness of the Sets of Pareto-Optimal and Weak Pareto-Optimal Alternatives, Journal of Optimization Theory and Applications, Vol. 40, pp. 537-557, 1983.
3. SCHAIBLE, S., Bicriteria Quasiconcave Programs, Cahiers du Centre d'Etudes de Recherche Opérationnelle, Vol. 25, pp. 93-101, 1983.
4. CHOO, E. U., SCHAIBLE, S., and CHEW, K. P., Connectedness of the Efficient Set in Three-Criteria Quasiconcave Programming, Cahiers du Centre d'Etudes de Recherche Operationnelle, Vol. 27, pp. 213-220, 1985.
5. LUC, D. T., Connectedness of the Efficient Point Sets in Quasiconcave Vector Maximization, Journal of Mathematical Analysis and Applications, Vol. 122, pp. 346-354, 1987.
6. HU, Y. D., and SUN, E. J., Connectedness of the Efficient Set in Strictly Quasiconcave Vector Maximization, Journal of Optimization Theory and Applications, Vol. 78, pp. 613-622, 1993.
7. SUN, E. J., On the Connectedness of the Efficient Set for Strictly Quasiconvex Vector Minimization Problems, Journal of Optimization Theory and Applications, Vol. 89, pp. 475-481, 1996.
8. AVRIEL, M., DIEWERT, W. E., SCHAIBLE, S., and ZANG, I., Generalized Concavity, Plenum Publishing Corporation, New York, New York, 1988.