Generalized convex duality for multiobjective fractional programs. (English) Zbl 0751.90075
Summary: R. R. Egudo [ibid. 138, No. 1, 84-94 (1989; Zbl 0686.90039)] derived some duality theorems for multi-objective programs using the concept of efficiency coupled with some generalized convexity assumptions on the objective and constraint functions. The main results of the present work can be thought of as extensions of the results of Egudo in the context of multi-objective fractional programs.
Citations:
Zbl 0686.90039References:
| [1] | Bector, C.; Chandra, S.; Singh, C., Duality in multiobjective fractional programming, (International Workshop on Generalized Concavity, Fractional Programming and Economic Applications (May 1988), University of Pisa: University of Pisa Italy) · Zbl 0708.90087 |
| [2] | Chankong, V.; Haimes, Y. Y., Multiobjective Decision Making; Theory and Methodology (1983), North-Holland: North-Holland New York · Zbl 0525.90085 |
| [3] | Egudo, R. R., Efficiency and generalized convex duality for multiobjective programs, J. Math. Anal. Appl., 138, 84-94 (1989) · Zbl 0686.90039 |
| [4] | Geoffrion, A. M., Proper efficiency and the theory of vector maximization, J. Math. Anal. Appl., 22, 618-630 (1968) · Zbl 0181.22806 |
| [5] | Vial, J. P., Strong convexity of sets and functions, J. Math. Econom, 9, 187-205 (1982) · Zbl 0479.52005 |
| [6] | Vial, J. P., Strong and weak convexity of sets and functions, Math. Oper. Res., 8, 231-259 (1985) · Zbl 0526.90077 |
| [7] | Yu, P. L., Multiple-Creiteria Decision Making (1985), Plenum: Plenum New York · Zbl 0643.90045 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
