Two Methods for Determining Properly Efficient Solutions with a Minimum Upper Bound for Trade-Offs

Behnam Hozzar, Ghasem Tohidi, Behrouz Daneshian


This paper aims to investigate proper efficiency 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 efficient 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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