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The degree of membership concept is central to fuzzy sets.
The number of these attributes depends on the chosen fuzzy set shape.
The meaning of each of them can be represented by a certain fuzzy set.
There are many mathematical constructions similar to or more general than fuzzy sets.
Although some researchers are beginning to explore higher than type-2 fuzzy sets, as of early 2009, this work is in its infancy.
The most typical fuzzy set membership function has the graph of a triangle.
The most widely used operations are called standard fuzzy set operations.
Initial developments focused on the relationship - both similarities and difference - with fuzzy sets.
I also drive by fuzzy sets, he thought admiringly.
An interval type-2 fuzzy set should be used as a (first-order uncertainty) model for a word.
His research interests include fuzzy set theory, possibility theory, and knowledge representation.
The boundaries are fuzzy and one may approach with fuzzy sets.
A fuzzy number is thus a special case of a convex fuzzy set.
A degree of membership from a fuzzy set.
The vague set degrades to a fuzzy set, if for all x.
Fuzzy sets are sets whose elements have degrees of membership.
The input and output variables map into the following fuzzy set:
But fuzzy sets have various degrees of membership.
Membership functions were introduced by Zadeh in the first paper on fuzzy sets (1965).
Defuzzification is interpreting the membership degrees of the fuzzy sets into a specific decision or real value.
In mathematics, vague sets are an extension of fuzzy sets.
The definition below is based on the alpha-cuts of fuzzy sets:
Then, the question of a suitable extension of such concepts to fuzzy set theory arises.
Well, it was a fuzzy set world like her shaman said and she of and with it.
They have the status of fuzzy sets.