KKT optimality conditions in interval valued multiobjective programming with generalized differentiable functions

Dron Singh, B.A. Dar and D.S. Kim

European Journal of Operational Research, 2016, vol. 254, issue 1, 29-39

Abstract: We devote this paper to study a class of interval valued multiobjective programming problems. For this we consider two order relations LU and LS on the set of all closed intervals and propose many concepts of Pareto optimal solutions. Based on convexity concepts (viz. LU and LS-convexity) and generalized differentiability (viz. gH-differentiability) of interval valued functions, the KKT optimality conditions for aforesaid problems are obtained. In addition, we compare our results with the results given in Wu (2009) and we show some advantages of our results. The theoretical development is illustrated by suitable examples.

Keywords: Interval valued functions; gH-differentiability; LU; LS-convex functions; Pareto optimal solutions; KKT optimality conditions (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:254:y:2016:i:1:p:29-39

DOI: 10.1016/j.ejor.2016.03.042

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