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KKT optimality conditions in interval valued multiobjective programming with generalized differentiable functions
Ist Teil von
European journal of operational research, 2016-10, Vol.254 (1), p.29-39
Ort / Verlag
Amsterdam: Elsevier B.V
Erscheinungsjahr
2016
Link zum Volltext
Quelle
Elsevier ScienceDirect Journals Complete
Beschreibungen/Notizen
•We introduce LU and LS relations due to generalized Hukuhara derivative.•We propose KKT optimality theorems with generalized Hukuhara differentiability.•We analyze LU and LS Pareto minimum points by examples with figures and tables.•We show some advantages of our results by comparing with Wu (2007).
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.