Design of Interval Type-2 Fuzzy Set-based Fuzzy Neural Networks Using Successive Tuning Method

In this paper, we introduce the design methodology of interval type-2 fuzzy set-based fuzzy neural networks (IT2FSFNN). IT2FSFNN is the network of combination between the fuzzy neural network (FNN) and interval type-2 fuzzy set with uncertainty. The premise part of the network is composed of the fuzzy division of respective input space and the consequence part of the network is represented by polynomial functions with interval set. To determine the structure and estimate the values of the parameters of IT2FSFNN we consider the successive tuning method with generation-based evolution by means of genetic algorithms. The proposed network is evaluated with the use of numerical experimentation.

[1]  J. Buckley,et al.  Fuzzy neural networks: a survey , 1994 .

[2]  Tom Tietenberg,et al.  Theory and design , 2001 .

[3]  J. Mendel.  Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions , 2001 .

[4]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1972 .

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

[6]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[7]  George E. P. Box,et al.  Time Series Analysis: Forecasting and Control , 1977 .

[8]  D. E. Goldberg,et al.  Genetic Algorithm in Search , 1989 .

[9]  Tefko Saracevic,et al.  Information science: What is it? , 1968 .

[10]  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).

[11]  Laveen N. Kanal,et al.  Classification, Pattern Recognition and Reduction of Dimensionality , 1982, Handbook of Statistics.

[12]  Masaharu Mizumoto,et al.  Some Properties of Fuzzy Sets of Type 2 , 1976, Inf. Control..

[13]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[14]  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).