Fuzzy clustering algorithms like the popular fuzzy c-means algorithm (FCM) are frequently used to automatically divide up the data space into fuzzy granules. When the fuzzy clusters are used to derive membership functions for a fuzzy rule-based system, then the corresponding fuzzy sets should fulfil
Connectives for fuzzy partitions
β Scribed by Ion Iancu
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 240 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
β¦ Synopsis
The fuzzy intersection and union are defined by means of a certain pair (T, S) of non-strict Archimedean operators dual with respect to a strict negation having the same additive generator as T. We prove that the equivalence between the Butnariu's definition and the Ruspini's one concerning the fuzzy partitions holds if and only if the connectives for fuzzy operations are T~ and S~.
π SIMILAR VOLUMES
The beneΓΏt of computing with linguistic terms is now generally accepted. Fuzzy set theory provides us the conceptual tool for the interpretation and evaluation of linguistic concepts and expressions. It constitutes a quantiΓΏcation of the compatibility degree of objects with the associated linguistic