Open AccessTwo 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.