Centroid uncertainty bounds for interval type-2 fuzzy sets: Forward and inverse problems

IEEE International Conference on Fuzzy Systems

Volumn 2, Issue , 2004, Pages 947-952

  Mendel, Jerry M ^a   Wu, Hongwei ^a  

^a University of Southern California ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CENTROIDS; FOOTPRINT OF UNCERTAINTY (FOU); LOWER MEMBERSHIP FUNCTION (LMF); UPPER MEMBERSHIP FUNCTIONS (UMF);

INFORMATION THEORY; INVERSE PROBLEMS; MATHEMATICAL MODELS; MEMBERSHIP FUNCTIONS; PROBABILITY DENSITY FUNCTION; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

FUZZY SETS;

EID: 11144304623     PISSN: 10987584     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FUZZY.2004.1375535     Document Type: Conference Paper

References (9)

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2. T. M. Cover and J. A. Thomas, Elements of Information Theory, John Wiley, New York, 1991.
3. N. N. Karnik and J. M. Mendel, "Centroid of a type-2 fuzzy set," Information Sciences, vol. 132, pp. 195-220, 2001.
4. J. M. Mendel, "Computing with words, when words can mean different things to different people," in Proc. of Third International ICSC Symposium on Fuzzy Logic and Applications, Rochester, NY, June 1999.
5. J. M. Mendel, Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions, Prentice-Hall, Upper Saddle River, NJ, 2001.
6. J. M. Mendel, "Fuzzy sets for words: a new beginning," Proc. of IEEE Int'l. Conf. on Fuzzy Systems, St. Louis, MO, pp. 37-42, May 2003.
7. J. M. Mendel, "On a 50% savings in the computation of the centroid of a symmetrical interval type-2 fuzzy set," accepted for publication in Information Sciences, 2004.
8. J. M. Mendel and R. I. Bob John, "Type-2 fuzzy sets made simple," IEEE Trans. on Fuzzy Systems, vol. 10, pp. 117-127, April 2002.
9. H. Wu and J. M. Mendel, "Uncertainty bounds and their use in the design of interval type-2 fuzzy logic systems," IEEE Trans. on Fuzzy Systems, vol. 10, pp. 622-639, Oct. 2002.