Lagrangian function and duality theory in multiobjective programming with set functions |
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Authors: | W. S. Hsia T. Y. Lee |
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Affiliation: | (1) Department of Mathematics, University of Alabama, Tuscaloosa, Alabama |
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Abstract: | Using the concept of vector-valued Lagrangian functions, we characterize a special class of solutions,D-solutions, of a multiobjective programming problem with set functions in which the domination structure is described by a closed convex coneD. Properties of two perturbation functions, primal map and dual map, are also studied. Results lead to a general duality theorem.The authors greatly appreciate helpful and valuable comments and suggestions received from the referee. |
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Keywords: | D-convex set functions D-extreme points vector-valued Lagrangian functions primal maps dual maps |
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