Evaluation of the quality and relevance of a fuzzy partition

Autor: J. Tinguaro Rodríguez, Camilo Franco, Fabián Castiblanco, Javier Montero
Rok vydání: 2020
Předmět:
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
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