Title :
Counting the number of classes in a fuzzy set
Author :
Yager, Ronald R.
Author_Institution :
Machine Intelligence Inst., Iona Coll., New Rochelle, NY, USA
Abstract :
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
Keywords :
fuzzy set theory; distinct boundaries; equivalence classes; fuzzy set; similarity classes; subset; Counting circuits; Fuzzy set theory; Fuzzy sets; H infinity control; Machine intelligence; Set theory;
Journal_Title :
Systems, Man and Cybernetics, IEEE Transactions on
