Computational Approach to Essential and Nonessential Objective Functions in Linear Multicriteria Optimization

A. B. Malinowska () and D. F. M. Torres ()
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A. B. Malinowska: Białystok Technical University
D. F. M. Torres: University of Aveiro

Journal of Optimization Theory and Applications, 2008, vol. 139, issue 3, No 7, 577-590

Abstract: Abstract The question of obtaining well-defined criteria for multiple-criteria decision making problems is well known. One of the approaches dealing with this question is the concept of nonessential objective functions. A certain objective function is called nonessential if the set of efficient solutions is the same with or without that objective function. We present two methods for determining nonessential objective functions. A computational implementation is done using a computer algebra system.

Keywords: Multiobjective optimization problems; Efficient (Pareto optimal) solutions; Essential/nonessential objective functions (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-008-9397-z

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