Journal
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume 166, Issue 1, Pages 160-171Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.ejor.2004.03.018
Keywords
fuzzy sets; fuzzy cluster analysis; linguistic value; equivalence relation; strategic group
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In this paper, a cluster analysis method based on fuzzy equivalence relation is proposed. At first, the distance formula between two trapezoidal fuzzy numbers is used to aggregate subjects' linguistic assessments about attributes ratings to obtain the compatibility relation. Then a fuzzy equivalence relation based on the fuzzy compatibility relation can be constructed. Finally, using a cluster validity index to determine the best number of clusters and taking suitable cut value, the clustering analysis can be effectively implemented. By utilizing this clustering analysis, the subjects' fuzzy assessments with various rating attitudes can be taken into account in the aggregation process to assure more convincing and accurate cluster analysis. (c) 2004 Elsevier B.V. All rights reserved.
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