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Counting with Fuzzy Sets

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1 Author(s)
Kosko, B. ; Verac Inc., 9605 Scranton Road, San Diego, CA 92121.

The notion of fuzzy set cardinality is examined. Zadeh's suggested measure of fuzzy cardinality, the sigma-count, is adopted and shown to generalize classical counting measure. This allows many combinatorial structures and counting techniques to be fuzzified, and hence used in knowledge representation and pattern recognition models. A fuzzy set review is found in the Appendix.

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Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:PAMI-8 ,  Issue: 4 )