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Partition validity and defuzzification

✍ Scribed by Antonio Flores-Sintas; José M. Cadenas; Fernando Martin

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
198 KB
Volume
112
Category
Article
ISSN
0165-0114

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✦ Synopsis

The fuzzy partition validity is a necessary measure to ÿx the number of groups in the fuzzy algorithms which need to know this data. We propose a measure based on the membership probabilities. Moreover, we propose a new concept of the hard partition based on the metric of the groups. The hard partition can be obtained from the fuzzy partition, from which it is possible to ÿnd the hard membership probabilities and the hard partition validity. A similarity relation is proposed over the set of groups belonging to the hard partition.

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