A Heuristic Approach to Possibilistic Clustering for Fuzzy DataReport as inadecuate




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Journal of Information and Organizational Sciences, Vol.32 No.2 December 2008. -

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.

possibilistic clustering; fuzzy tolerance; allotment among fuzzy clusters; typical point; vector of fuzzy numbers



Author: Viattchenin Dmitri A. - ; United Institute of Informatics Problems, National Academy of Sciences of Belarus

Source: http://hrcak.srce.hr/



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