Enhanced Karnik-Mendel algorithms for interval type-2 fuzzy sets and systems

Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS

Volumn , Issue , 2007, Pages 184-189

  Wu, Dongrui ^a   Mendel, Jerry M ^a  

^a University of Southern California

Author keywords

Centroid computation; Interval type 2 fuzzy sets; Karnik Mendel algorithms; Type reduction

Indexed keywords

ALGORITHMS; COMPUTATION THEORY; COMPUTER SIMULATION; COSTS; FUZZY LOGIC; ITERATIVE METHODS;

CENTROID COMPUTATION; INTERVAL TYPE-2 FUZZY SETS; KARNIK-MENDEL (KM)ALGORITHMS;

FUZZY SETS;

EID: 35148832599     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/NAFIPS.2007.383834     Document Type: Conference Paper

References (9)

1. J. M. Mendel, Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Upper Saddle River, NJ: Prentice-Hall, 2001.
2. S.-M. Guu, "Fuzzy weighted averages revisited," Fuzzy Sets and Systems, vol. 126, pp. 4, 11-414, 2002.
3. N. N. Karnik and J. M. Mendel, "Centroid of a type-2 fuzzy set," Information Sciences, vol. 132, pp. 195-220, 2001.
4. F. Liu and J. M. Mendel, "Aggregation using the fuzzy weighted average, as computed using the Karnik-Mendel algorithms," IEEE Trans. on Fuzzy Systems, 2007, in press.
5. J. M. Mendel and F. Liu, "Super-exponential convergence of the Karnik-Mendel algorithms for computing the centroid of an interval type-2 fuzzy set," IEEE Trans. on Fuzzy Systems, vol. 15, no. 2, pp. 309-320, 2007.
6. J. M. Mendel and D. Wu, "Signal fusion using novel weighted averages," submitted to Proc. IEEE, Feb 2007.
7. D. Wu and J. M. Mendel, "Aggregation using the linguistic weighted average and interval type-2 fuzzy sets," accepted by IEEE Trans. on Fuzzy Systems, 2007.
8. _, "Enhanced Karnik-Mendel Algorithms," submitted to IEEE Trans. on Fuzzy Systems, April 2007.
9. _, "Uncertainty measures for interval type-2 fuzzy sets," submitted to Information Sciences, March 2007.