Type-2 Fuzzy Logic: Theory and Applications

Authors:
Oscar Castillo;Patricia Melin;Janusz Kacprzyk;Witold Pedrycz
Affiliations:
-;-;-;-
Venue:
GRC '07 Proceedings of the 2007 IEEE International Conference on Granular Computing
Year:
2007

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Abstract

Type-2 fuzzy sets are used for modeling uncertainty and imprecision in a better way. These type-2 fuzzy sets were originally presented by Zadeh in 1975 and are essentially "fuzzy fuzzy" sets where the fuzzy degree of membership is a type-1 fuzzy set. The new concepts were introduced by Mendel and Liang allowing the characterization of a type-2 fuzzy set with a superior membership function and an inferior membership function; these two functions can be represented each one by a type-1 fuzzy set membership function. The interval between these two functions represents the footprint of uncertainty (FOU), which is used to characterize a type-2 fuzzy set.