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A Heuristic Approach to Possibilistic Clustering for Fuzzy Data
Journal Title Journal of Information and Organizational Sciences
Journal Abbreviation jios
Publisher Group University of Zagreb
Website http://jios.foi.hr/index.php/jios/index
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Title A Heuristic Approach to Possibilistic Clustering for Fuzzy Data
Authors Viattchenin, Dmitri A.
Abstract The paper deals with the problem of the fuzzy data clustering. In other words, objects attributes can be represented by fuzzy numbers or fuzzy intervals. A direct algorithm of possibilistic clustering is the basis of an approach to the fuzzy data clustering. The paper provides the basic ideas of the method of clustering and a plan of the direct possibilistic clustering algorithm. Definitions of fuzzy intervals and fuzzy numbers are presented and distances for fuzzy numbers are considered. A concept of a vector of fuzzy numbers is introduced and the fuzzy data preprocessing methodology for constructing of a fuzzy tolerance matrix is described. A numerical example is given and results of application of the direct possibilistic clustering algorithm to a set of vectors of triangular fuzzy numbers are considered in the example. Some preliminary conclusions are stated.
Publisher University o Zagreb, Faculty of Organization and Informatics, Varaždin
Date 2008-12-09
Source Journal of Information and Organizational Sciences Vol 32, No 2 (2008)

 

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