Title :
Introduction to uncertainty bounds and their use in the design of interval type-2 fuzzy logic systems
Author :
Wu, Hongwei ; Mendel, Jerry M.
Author_Institution :
Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA, USA
Abstract :
In this paper, we derive inner- and outer-bound sets for the type-reduced set of an interval type-2 fuzzy logic system, based on a new mathematical interpretation of the Karnik-Mendel (2001) iterative procedure. The bound sets can not only provide estimates about the uncertainty contained in the output, but can also be used to design an interval type-2 fuzzy logic system. We demonstrate, by means of a simulation experiment, that the resulting system can operate without type reduction and that it can achieve similar performance to one that uses type reduction. Therefore, our new design method, based on the bound sets, can relieve the computational burden of an interval type-2 fuzzy logic system during its operation.
Keywords :
fuzzy logic; fuzzy systems; iterative methods; uncertainty handling; Karnik-Mendel iterative procedure; bound sets; computational burden; inner-bound sets; interval type-2 fuzzy logic systems design; outer-bound sets; output uncertainty estimates; performance; simulation; type reduction; type-reduced set; uncertainty bounds; Automated highways; Density functional theory; Density measurement; Fuzzy logic; Fuzzy sets; Length measurement; Logic design; Marine vehicles; Random variables; Uncertainty;
Conference_Titel :
Fuzzy Systems, 2001. The 10th IEEE International Conference on
Print_ISBN :
0-7803-7293-X
DOI :
10.1109/FUZZ.2001.1009041
