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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| Format: | Article |
| Language: | English |
| Published: |
University of Zagreb, Faculty of organization and informatics
2008-12-01
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| Series: | Journal of Information and Organizational Sciences |
| Subjects: | |
| Online Access: | http://jios.foi.hr/index.php/jios/article/view/74 |
| _version_ | 1818718312086896640 |
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| author | Dmitri A. Viattchenin |
| author_facet | Dmitri A. Viattchenin |
| author_sort | Dmitri A. Viattchenin |
| collection | DOAJ |
| description | <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> |
| first_indexed | 2024-12-17T19:49:02Z |
| format | Article |
| id | doaj.art-358196a98d11426ba59f8b10f6237247 |
| institution | Directory Open Access Journal |
| issn | 1846-3312 1846-9418 |
| language | English |
| last_indexed | 2024-12-17T19:49:02Z |
| publishDate | 2008-12-01 |
| publisher | University of Zagreb, Faculty of organization and informatics |
| record_format | Article |
| series | Journal of Information and Organizational Sciences |
| spelling | doaj.art-358196a98d11426ba59f8b10f62372472022-12-21T21:34:47ZengUniversity of Zagreb, Faculty of organization and informaticsJournal of Information and Organizational Sciences1846-33121846-94182008-12-0132253A Heuristic Approach to Possibilistic Clustering for Fuzzy DataDmitri A. Viattchenin0Senior Researcher<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>http://jios.foi.hr/index.php/jios/article/view/74possibilistic clusteringfuzzy toleranceallotment among fuzzy clusterstypical pointvector of fuzzy numbers |
| spellingShingle | Dmitri A. Viattchenin A Heuristic Approach to Possibilistic Clustering for Fuzzy Data Journal of Information and Organizational Sciences possibilistic clustering fuzzy tolerance allotment among fuzzy clusters typical point vector of fuzzy numbers |
| title | A Heuristic Approach to Possibilistic Clustering for Fuzzy Data |
| title_full | A Heuristic Approach to Possibilistic Clustering for Fuzzy Data |
| title_fullStr | A Heuristic Approach to Possibilistic Clustering for Fuzzy Data |
| title_full_unstemmed | A Heuristic Approach to Possibilistic Clustering for Fuzzy Data |
| title_short | A Heuristic Approach to Possibilistic Clustering for Fuzzy Data |
| title_sort | heuristic approach to possibilistic clustering for fuzzy data |
| topic | possibilistic clustering fuzzy tolerance allotment among fuzzy clusters typical point vector of fuzzy numbers |
| url | http://jios.foi.hr/index.php/jios/article/view/74 |
| work_keys_str_mv | AT dmitriaviattchenin aheuristicapproachtopossibilisticclusteringforfuzzydata AT dmitriaviattchenin heuristicapproachtopossibilisticclusteringforfuzzydata |