Miruna Beldiman, Eugenia Panaitescu and Liliana Dogaru: Approximate quasi efficient solutions in multiobjective optimization, p.109-121

Abstract:

In this paper we consider unitar concepts for some optimality and efficiency or approximate solutions in scalar optimization and vectorial optimization respectively. In this cases some necessary and/or sufficient conditions for these approximate solutions in the multiobjective case are derived via scalarization and an alternative theorem. Thus are generalized and refined some corresponding results in multiobjective optimization.

Key Words: Multiobjective programming, optimization, approximate solution.

2000 Mathematics Subject Classification: Primary: 90C29,
Secondary: 90C30, 49M37.

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