Connectionist Structures of Type 2 Fuzzy Inference Systems

In Fuzzy Inference Systems (FIS) the rule base consists of fuzzy relations between antecedents and consequents represented by classical fuzzy sets. Because their membership grades are exact real numbers in the unit interval [0, 1], there is no uncertainty in this sort of specification. In many applications there is some uncertainty as to the memberships, hence they can be stated as ordinary fuzzy sets of type 1 and can constitute type 2 fuzzy sets.In the world literature exists a global model of type 2 FIS. However it consists of an enormous number of embedded subsystems of type 1 and with regard to this model it has not found any use in connectionist realizations. In this paper we derive connectionist structures of type 2 FIS.

[1]  Lotfi A. Zadeh,et al.  Fuzzy Logic and Its Application to Approximate Reasoning , 1974, IFIP Congress.

[2]  Lotfi A. Zadeh,et al.  The concept of a linguistic variable and its application to approximate reasoning-III , 1975, Inf. Sci..

[3]  Didier Dubois,et al.  Fuzzy sets and systems ' . Theory and applications , 2007 .

[4]  M. Gorzałczany.  An interval-valued fuzzy inference method: some basic properties , 1989 .

[5]  N. N. Karnik,et al.  Introduction to type-2 fuzzy logic systems , 1998, 1998 IEEE International Conference on Fuzzy Systems Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36228).

[6]  R. John.  Type 2 fuzzy sets for knowledge representation and inferencing , 1998, 1998 IEEE International Conference on Fuzzy Systems Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36228).

[7]  Jerry M. Mendel,et al.  Type-2 fuzzy logic systems , 1999, IEEE Trans. Fuzzy Syst..

[8]  Jerry M. Mendel,et al.  Interval type-2 fuzzy logic systems , 2000, Ninth IEEE International Conference on Fuzzy Systems. FUZZ- IEEE 2000 (Cat. No.00CH37063).