- Tytuł:
- Optimality conditions in multiobjective programming problems with interval valued objective functions
- Autorzy:
-
Ahmad, I.
Singh, D.
Dar, B. A. - Powiązania:
- https://bibliotekanauki.pl/articles/206566.pdf
- Data publikacji:
- 2015
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
interval valued functions
gH-differentiablity
Pareto optimal solutions
pseudoconvexity
KKT optimality conditions - Opis:
- We devote this paper to study of multiobjective programming problems with interval valued objective functions. For this, we consider two order relations LU and LS on the set of all closed intervals and propose several concepts of Pareto optimal solutions and generalized convexity. Based on generalized convexity (viz. LU and LS-pseudoconvexity) and generalized differentiability (viz. gHdifferentiablity) of interval valued functions, the KKT optimality conditions for aforesaid problems are obtained. The theoretical development is illustrated by suitable examples.
- Źródło:
-
Control and Cybernetics; 2015, 44, 1; 19-45
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł