Optimality conditions in multiobjective programming problems with interval valued objective functions

• Autorzy: Ahmad I. , Singh D. , Dar B. A.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

interval valued functions; gH-differentiability; Pareto optimal solutions; pseudoconvexity; KKT optimality conditions

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2015
• Tom: Vol. 44, no. 1
• Strony: 19--45
• Opis fizyczny: Bibliogr. 31 poz., rys., tab.

Twórcy

autor

Ahmad I.

• Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran-31261, Saudi Arabia

autor

Singh D.

• Department of Applied Sciences, NITTTR (under Ministry of HRD of India), Bhopal, M.P., India dk

autor

Dar B. A.

• Department of Applied Mathematics, Rajiv Gandhi Proudyogiki Vishwavidyalaya (state technological university of M.P.), Bhopal, M.P., India

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