Evaluation of the quality and relevance of a fuzzy partition
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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.
2017 ◽
Vol 7
(4)
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pp. 113-119
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2008 ◽
Vol 41
(5)
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pp. 1824-1833
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2019 ◽
Vol 3
(1)
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pp. 1-18
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1998 ◽
Vol 15
(1)
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pp. 59-68
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2015 ◽
Vol 18
(3)
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pp. 349-366
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