Mathematics Colloquium

New research results at UNO

Department of Mathematics
University of Nebraska at Omaha


WHEN:
Wednesday, October 27, 2004 at 2:30 PM

WHERE:
Durham Science Center, Room 255

WHAT:


Zhenyuan Wang (presenter)

University of Nebraska at Omaha

Rong Yang

Department of Computer Science and Engineering, The Chinese University of Hong Kong, Shatin, NT, Hong Kong

Pheng-Ann Heng, and Kwong-Sak Leung

Department of Computer Science and Engineering, The Chinese University of Hong Kong, Shatin, NT, Hong Kong


will give a talk on

The Calculation of Choquet Integrals with Fuzzy-Valued Integrand


ABSTRACT:
The Choquet integral with respect to signed fuzzy measure is used as an aggregation tool in information fusion and data mining. To deal with linguistic attributes in databases, the integrand of the Choquet integral is allowed to assume fuzzy numbers. Keeping the fuzziness from the input fuzzy data, the calculation of such type of Choquet integrals involves nonlinear optimization problems. A numerical method with a genetic algorithm is introduced for estimating the membership function of the value of the Choquet integral with fuzzy-valued integrand.


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