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The Aggregate Homotopy Method for Multi-objective Max-min Problems

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Author(s): He Li | Dong Xiao-gang | Tan Jia-wei | Liu Qing-huai

Journal: International Journal of Image, Graphics and Signal Processing
ISSN 2074-9074

Volume: 3;
Issue: 2;
Start page: 30;
Date: 2011;
Original page

Keywords: multi-objective optimization | homotopy method | aggregate function

ABSTRACT
Multi-objective programming problem was transformed into a class of simple unsmooth single-objective programming problem by Max-min ways. After smoothing with aggregate function, a new homotopy mapping was constructed. The minimal weak efficient solution of the multi-objective optimization problem was obtained by path tracking. Numerical simulation confirmed the viability of this method.
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