Evaluation of the quality and relevance of a fuzzy partition
Autor: | J. Tinguaro Rodríguez, Camilo Franco, Fabián Castiblanco, Javier Montero |
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Rok vydání: | 2020 |
Předmět: |
Statistics and Probability
Computer science media_common.quotation_subject 05 social sciences General Engineering 050301 education 02 engineering and technology computer.software_genre Fuzzy partition ComputingMethodologies_PATTERNRECOGNITION Artificial Intelligence 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Quality (business) Relevance (information retrieval) Data mining 0503 education computer media_common |
Zdroj: | Journal of Intelligent & Fuzzy Systems. 39:4211-4226 |
ISSN: | 1875-8967 1064-1246 |
DOI: | 10.3233/jifs-200286 |
Popis: | This paper proposes a couple of criteria for evaluating the quality and relevance of a fuzzy partition. These criteria are established from a fuzzy classification system and its recursive De Morgan triplet. We propose a comparison process between the classes of a fuzzy partition, based on a translation invariant similarity relation. Therefore a classification process is carried out with the equivalence relations determined by the similarity relation. Such a relation is built on the commutative group structure formed by the elements of the fuzzy classification system. Our approach is illustrated through an example on image analysis by the fuzzy c-means algorithm. |
Databáze: | OpenAIRE |
Externí odkaz: | |
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