| A note on the estimation of the Pareto efficient set for multiobjective matrix permutation problems. | |
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MedLine Citation:
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PMID: 21711346 Owner: NLM Status: Publisher |
Abstract/OtherAbstract:
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There are a number of important problems in quantitative psychology that require the identification of a permutation of the n rows and columns of an n×n proximity matrix. These problems encompass applications such as unidimensional scaling, paired-comparison ranking, and anti-Robinson forms. The importance of simultaneously incorporating multiple objective criteria in matrix permutation applications is well recognized in the literature; however, to date, there has been a reliance on weighted-sum approaches that transform the multiobjective problem into a single-objective optimization problem. Although exact solutions to these single-objective problems produce supported Pareto efficient solutions to the multiobjective problem, many interesting unsupported Pareto efficient solutions may be missed. We illustrate the limitation of the weighted-sum approach with an example from the psychological literature and devise an effective heuristic algorithm for estimating both the supported and unsupported solutions of the Pareto efficient set. |
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Authors:
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Michael J Brusco; Douglas Steinley |
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Publication Detail:
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Type: JOURNAL ARTICLE Date: 2011-6-28 |
Journal Detail:
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Title: The British journal of mathematical and statistical psychology Volume: - ISSN: 2044-8317 ISO Abbreviation: - Publication Date: 2011 Jun |
Date Detail:
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Created Date: 2011-6-29 Completed Date: - Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 0004047 Medline TA: Br J Math Stat Psychol Country: - |
Other Details:
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Languages: ENG Pagination: - Citation Subset: - |
Copyright Information:
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©2011 The British Psychological Society. |
Affiliation:
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Department of Marketing, Florida State University, Florida, USA University of Missouri, Columbia, Missouri, USA. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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