Optimality Conditions in Multiobjective Programming Problems with Interval Valued Objective Functions

• Autorzy: Izhar Ahmad , Deepak Singh , Bilal Ahmad Dar
• 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. gH-differentiablity) of interval valued functions, the KKT optimality conditions for aforesaid problems are obtained. The theoretical development is illustrated by suitable examples. (original abstract)

Słowa kluczowe

EN

Multiple criteria optimization; Mathematical programming

PL

Optymalizacja wielokryterialna; Programowanie matematyczne

• Czasopismo: Control and Cybernetics
• Rocznik: 2015
• Tom: 44
• Numer: nr 1
• Strony: 19--45

Twórcy

autor

Izhar Ahmad

• King Fahd University of Petroleum and Minerals, Saudi Arabia

autor

Deepak Singh

• Department of Applied Sciences, NITTTR (under Ministry of HRD of India)

autor

Bilal Ahmad Dar

• Department of Applied Mathematics, Rajiv Gandhi Proudyogiki Vishwavidyalaya, India

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