On using type-1 fuzzy set mathematics to derive interval type-2 fuzzy logic systems

In this paper, we demonstrate that it is unnecessary to take the route from general type-2 fuzzy set to interval type-2 fuzzy set, and that all of the results that are needed to implement an interval type-2 fuzzy logic system can be obtained using type-1 fuzzy set mathematics. As such, this paper makes an interval type-2 fuzzy logic system much more accessible to the fuzzy logic community, and we can now develop an interval type-2 fuzzy logic system in a much more straightforward way.

[1]  Jerry M. Mendel,et al.  Classifier designs for binary classifications of ground vehicles , 2003, SPIE Defense + Commercial Sensing.

[2]  Robert Ivor John,et al.  A new and efficient method for the type-2 meet operation , 2004, 2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542).

[3]  Hani Hagras,et al.  A hierarchical type-2 fuzzy logic control architecture for autonomous mobile robots , 2004, IEEE Transactions on Fuzzy Systems.

[4]  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).

[5]  Jerry M. Mendel,et al.  Centroid of a type-2 fuzzy set , 2001, Inf. Sci..

[6]  Jerry M. Mendel,et al.  Type-2 fuzzy sets made simple , 2002, IEEE Trans. Fuzzy Syst..

[7]  Jonathan M. Garibaldi,et al.  Investigating Adaptation in Type-2 Fuzzy Logic Systems Applied to Umbilical Acid-Base Assessment , 2003 .

[8]  Oscar Castillo,et al.  A New Method for Adaptive Control of Non-Linear Plants Using Type-2 Fuzzy Logic and Neural Networks , 2002, Int. J. Gen. Syst..

[9]  Dongrui Wu,et al.  A type-2 fuzzy logic controller for the liquid-level process , 2004, 2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542).

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

[11]  Jerry M. Mendel,et al.  Equalization of nonlinear time-varying channels using type-2 fuzzy adaptive filters , 2000, IEEE Trans. Fuzzy Syst..

[12]  Type-2 Fuzzy Sets : Some Questions and Answers , 2001 .

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