A Heuristic Approach to Possibilistic Clustering for Fuzzy Data

<span style="font-family: TimesNewRomanPSMT; font-size: x-small;"><span style="font-family: TimesNewRomanPSMT; font-size: x-small;"><p align="left">The paper deals with the problem of the fuzzy data clustering. In other words, objects attributes can be...

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Bibliographic Details
Main Author: Dmitri A. Viattchenin
Format: Article
Language:English
Published: University of Zagreb, Faculty of organization and informatics 2008-12-01
Series:Journal of Information and Organizational Sciences
Subjects:
Online Access:http://jios.foi.hr/index.php/jios/article/view/74
Description
Summary:<span style="font-family: TimesNewRomanPSMT; font-size: x-small;"><span style="font-family: TimesNewRomanPSMT; font-size: x-small;"><p align="left">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.</p></span></span>
ISSN:1846-3312
1846-9418