Optimality conditions via scalarization for approximate quasi efficiency in multiobjective optimization | Zendy

Mehrdad Ghaznavi | Zendy

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Optimality conditions via scalarization for approximate quasi efficiency in multiobjective optimization

Author(s) -

Mehrdad Ghaznavi

Publication year - 2017

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1703671g

Subject(s) - mathematics , convexity , mathematical optimization , type (biology) , multi objective optimization , order (exchange) , ecology , finance , financial economics , economics , biology

In this paper, approximate quasi (weakly, properly) efficient solutions of multiobjective optimization problems (MOPs) are analyzed. We are interested in finding the relationships between approximate quasi (weakly, properly) efficient solutions of an MOP and approximate quasi optimal solutions of the related scalarized problem. In fact, via scalarization techniques, we derive some necessary and sufficient conditions for approximate-quasi (weakly, properly) efficient solutions of an MOP. All the results are obtained with no convexity assumption.

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