Motivated by applications to the real world, various optimality criteria (also approximate ones) are developed for situations in vector optimization. We propose a new type of solution based on upper comprehensive sets and we discuss the existence of optimal points in multicriteria situations.
Mignanego, F., Chicco, M., Pusillo, L., Tijs, S., Vector Optimization problems, via improvement sets, <<JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS>>, 2011; vol 150 (Dicembre): 610-630. [doi:10.1007/s10957-011-9851-1] [http://hdl.handle.net/10807/31740]
Vector Optimization problems, via improvement sets
Mignanego, Fausto;
2011
Abstract
Motivated by applications to the real world, various optimality criteria (also approximate ones) are developed for situations in vector optimization. We propose a new type of solution based on upper comprehensive sets and we discuss the existence of optimal points in multicriteria situations.
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