In this paper, we introduce new pseudoinvexity conditions on functionals involved in a multiobjective control problem, called W-KT-pseudoinvexity and W-FJ-pseudoinvexity. We prove that all Kuhn-Tucker or Fritz-John points are weakly efficient solutions if and only if these conditions are fulfilled.
Weakly and properly nonessential objectives in multiobjective optimization problems
โ Scribed by Agnieszka B. Malinowska
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 489 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0167-6377
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract Many important problems in Operations Research and Statistics require the computation of nondominated (or Pareto or efficient) sets. This task may be currently undertaken efficiently for discrete sets of alternatives or for continuous sets under special and fairly tight structural condi
This paper deals with the stability ofmultiobjective nonlinear programming problems with fuzzy parameters in the objectives and constraints functions. These fuzzy parameters are characterized by fuzzy numbers. The existing results concerning the qualitative analysis of the notions (solvability set,