Duality in Multiobjec- Tive Programming

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Date

2014-06-30

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Addis Ababa University

Abstract

In this project we see about the duality in multiobjective programming. We investigate a general convex multiobjective optimization problem with cone inequality constraints. The main idea of constructing the multiobjective dual problem is to establish frst a dual problem to the scalarized primal. In addition to these the project also explains some points about multiobjective optimization problem and conjugate duality for scalar optimization problems. Keywords: Lagrange dual function, Conjugate function, Conjugate map, Dual cone, Multiobjective Optimization

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Keywords

Lagrange dual function, Conjugate function, Conjugate map, Dual cone, Multiobjective Optimization

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