Two methods for determining properly effcient solutions with a minimum upper bound for trade-offs | Zendy

Behnam Hozzar | Zendy; Ghasem Tohidi | Zendy; Behrouz Daneshian | Zendy

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Two methods for determining properly effcient solutions with a minimum upper bound for trade-offs

Author(s) -

Behnam Hozzar,

Ghasem Tohidi,

Behrouz Daneshian

Publication year - 2019

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/fil1906551h

Subject(s) - mathematics , mathematical optimization , upper and lower bounds , nonlinear system , point (geometry) , ideal (ethics) , ideal point , optimization problem , multi objective optimization , nonlinear programming , interior point method , mathematical analysis , geometry , philosophy , physics , epistemology , quantum mechanics

This paper aims to investigate proper effciency in multiobjective optimization. We suggest two nonlinear optimization problems to determine upper bound for trade-offs among objective functions. Based on these problems we introduce some properly effcient solutions which are closer to the ideal point. Weighted sum scalarization and Kuhn-Tucker conditions will be used to obtain these nonlinear optimization problems.

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