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1. A Note on Optimality Conditions for Multi-objective Problems with a Euclidean Cone of Preferences.

Author

Golubin, A.

Subjects
*PARETO optimum, *MATHEMATICAL optimization, *MATHEMATICAL analysis, *MATHEMATICS, *MAXIMA & minima, *OPERATIONS research
Abstract

The paper suggests a new-to the best of the author's knowledge-characterization of decisions, which are optimal in the multi-objective optimization problem with respect to a definite proper preference cone, a Euclidean cone with a prescribed angular radius. The main idea is to use the angle distances between the unit vector and points of utility space. A necessary and sufficient condition for the optimality in the form of an equation is derived. The first-order necessary optimality conditions are also obtained. [ABSTRACT FROM AUTHOR]

Published
2015
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