Journal
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING
Volume 36, Issue 3, Pages 261-270Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ijar.2003.10.011
Keywords
incomplete fuzzy preference relation; additive consistent incomplete fuzzy preference relation; multiplicative consistent incomplete fuzzy preference relation; goal programming model; priority
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In this paper, we first define the concepts of incomplete fuzzy preference relation, additive consistent incomplete fuzzy preference relation and multiplicative consistent incomplete fuzzy preference relation, and then propose two goal programming models, based on additive consistent incomplete fuzzy preference relation and multiplicative consistent incomplete fuzzy preference relation respectively, for obtaining the priority vector of incomplete fuzzy preference relation. These two goal programming models are also extended to obtain the collective priority vector of several incomplete fuzzy preference relations. Finally, two illustrative numerical examples are given to verify the developed models. (C) 2003 Elsevier Inc. All rights reserved.
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