A Heuristic Approach to Possibilistic Clustering for Fuzzy Data
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Title | A Heuristic Approach to Possibilistic Clustering for Fuzzy Data |
Authors | |
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) |