DocumentCode
3030426
Title
Enhanced Karnik-Mendel Algorithms for Interval Type-2 Fuzzy Sets and Systems
Author
Wu, Dongrui ; Mendel, Jerry M.
Author_Institution
Univ. of Southern California, Los Angeles
fYear
2007
fDate
24-27 June 2007
Firstpage
184
Lastpage
189
Abstract
The Karnik-Mendel (KM) algorithms are iterative procedures widely used in fuzzy logic theory. They are known to converge monotonically and super-exponentially fast; however, several (usually two to six) iterations are still needed before convergence occurs. Methods to reduce their computational cost are proposed in this paper. Extensive simulations show that on average the enhanced KM algorithms can save about two iterations, which corresponds to more than a 39% reduction in computation time.
Keywords
fuzzy set theory; iterative methods; Karnik-Mendel Algorithms; fuzzy logic theory; fuzzy systems; interval type-2 fuzzy sets; iterative procedures; Computational efficiency; Computational modeling; Convergence; Frequency selective surfaces; Fuzzy logic; Fuzzy sets; Image converters; Image processing; Iterative algorithms; Signal processing; Karnik-Mendel algorithms; centroid computation; interval type-2 fuzzy sets; type-reduction;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Information Processing Society, 2007. NAFIPS '07. Annual Meeting of the North American
Conference_Location
San Diego, CA
Print_ISBN
1-4244-1213-7
Electronic_ISBN
1-4244-1214-5
Type
conf
DOI
10.1109/NAFIPS.2007.383834
Filename
4271057
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