Direct Heuristic Algorithms of Possibilistic Clustering Based on Transitive Approximation of Fuzzy Tolerance
This paper deals with the problem of a heuristic approach to possibilistic clustering. The approach is based on the concept of allotment among fuzzy clusters. The paper provides the description of basic concepts of the heuristic approach to possibilistic clustering. Plans of direct prototype-based h...
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| Format: | Article |
| Language: | English |
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Inforec Association
2013-01-01
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| Series: | Informatică economică |
| Subjects: | |
| Online Access: | http://revistaie.ase.ro/content/67/01%20-%20Viattchenin,%20Damaratski.pdf |
| _version_ | 1830513566099177472 |
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| author | Dmitri A. VIATTCHENIN Aliaksandr DAMARATSKI |
| author_facet | Dmitri A. VIATTCHENIN Aliaksandr DAMARATSKI |
| author_sort | Dmitri A. VIATTCHENIN |
| collection | DOAJ |
| description | This paper deals with the problem of a heuristic approach to possibilistic clustering. The approach is based on the concept of allotment among fuzzy clusters. The paper provides the description of basic concepts of the heuristic approach to possibilistic clustering. Plans of direct prototype-based heuristic algorithms of possibilistic clustering based on a transitive approximation of a fuzzy tolerance are described in detail. An illustrative example of application of the basic version of the proposed algorithms to Sneath and Sokal's two-dimensional data set is considered. Preliminary conclusions are formulated. |
| first_indexed | 2024-12-22T02:47:21Z |
| format | Article |
| id | doaj.art-fb80afa2fd874f75838c24e8ec6ab03c |
| institution | Directory Open Access Journal |
| issn | 1453-1305 1842-8088 |
| language | English |
| last_indexed | 2024-12-22T02:47:21Z |
| publishDate | 2013-01-01 |
| publisher | Inforec Association |
| record_format | Article |
| series | Informatică economică |
| spelling | doaj.art-fb80afa2fd874f75838c24e8ec6ab03c2022-12-21T18:41:30ZengInforec AssociationInformatică economică1453-13051842-80882013-01-0117351510.12948/issn14531305/17.3.2013.01Direct Heuristic Algorithms of Possibilistic Clustering Based on Transitive Approximation of Fuzzy ToleranceDmitri A. VIATTCHENINAliaksandr DAMARATSKIThis paper deals with the problem of a heuristic approach to possibilistic clustering. The approach is based on the concept of allotment among fuzzy clusters. The paper provides the description of basic concepts of the heuristic approach to possibilistic clustering. Plans of direct prototype-based heuristic algorithms of possibilistic clustering based on a transitive approximation of a fuzzy tolerance are described in detail. An illustrative example of application of the basic version of the proposed algorithms to Sneath and Sokal's two-dimensional data set is considered. Preliminary conclusions are formulated.http://revistaie.ase.ro/content/67/01%20-%20Viattchenin,%20Damaratski.pdfClusteringFuzzy ToleranceTransitive ApproximationAllotmentFuzzy Cluster |
| spellingShingle | Dmitri A. VIATTCHENIN Aliaksandr DAMARATSKI Direct Heuristic Algorithms of Possibilistic Clustering Based on Transitive Approximation of Fuzzy Tolerance Informatică economică Clustering Fuzzy Tolerance Transitive Approximation Allotment Fuzzy Cluster |
| title | Direct Heuristic Algorithms of Possibilistic Clustering Based on Transitive Approximation of Fuzzy Tolerance |
| title_full | Direct Heuristic Algorithms of Possibilistic Clustering Based on Transitive Approximation of Fuzzy Tolerance |
| title_fullStr | Direct Heuristic Algorithms of Possibilistic Clustering Based on Transitive Approximation of Fuzzy Tolerance |
| title_full_unstemmed | Direct Heuristic Algorithms of Possibilistic Clustering Based on Transitive Approximation of Fuzzy Tolerance |
| title_short | Direct Heuristic Algorithms of Possibilistic Clustering Based on Transitive Approximation of Fuzzy Tolerance |
| title_sort | direct heuristic algorithms of possibilistic clustering based on transitive approximation of fuzzy tolerance |
| topic | Clustering Fuzzy Tolerance Transitive Approximation Allotment Fuzzy Cluster |
| url | http://revistaie.ase.ro/content/67/01%20-%20Viattchenin,%20Damaratski.pdf |
| work_keys_str_mv | AT dmitriaviattchenin directheuristicalgorithmsofpossibilisticclusteringbasedontransitiveapproximationoffuzzytolerance AT aliaksandrdamaratski directheuristicalgorithmsofpossibilisticclusteringbasedontransitiveapproximationoffuzzytolerance |