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Counting the number of classes in a fuzzy set

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1 Author(s)
Yager, R.R. ; Machine Intelligence Inst., Iona Coll., New Rochelle, NY, USA

The issue of counting the number of elements in fuzzy set is discussed. The issue of counting the number of equivalence classes in a fuzzy subset is investigated. The more general problem of counting how many similarity classes are present in a fuzzy subset is then examined. This becomes a very complex problem because of the lack of distinct boundaries in the similarity classes

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Systems, Man and Cybernetics, IEEE Transactions on  (Volume:23 ,  Issue: 1 )