Please use this identifier to cite or link to this item: http://hdl.handle.net/20.500.11861/7600
Title: Fuzzy numbers and fuzzification of the Choquet integral
Authors: Yang, Rong 
Wang, Zhenyuan 
Heng, Pheng-Ann 
Prof. LEUNG Kwong Sak 
Issue Date: 2005
Source: Fuzzy Sets and Systems, 2005, Vol. 153 (1), pp. 95 - 1131
Journal: Fuzzy Sets and Systems 
Abstract: To deal with linguistic attributes in databases, the integrand of the Choquet integral should be allowed to assume fuzzy numbers. This paper provides a detailed discussion on one fuzzification of Choquet integral, in which the integrand as well as the integration result is fuzzy numbers, based on the extension principle. It is a generalized Choquet integral for fuzzy-valued integrand, interval-valued integrand, as well as the crisp-valued integrand. Two numerical methods are provided to calculate the membership function of the integration value of this generalized Choquet integral with respect to the fuzzy measure and the signed fuzzy measure, respectively. The presented generalized Choquet integral with respect to signed fuzzy measure can act as an aggregation tool which is especially useful in many information fusing and data mining problems (such as regression and classification) where not only crisp data but also heterogeneous fuzzy data are involved. © 2005 Elsevier B.V. All rights reserved.
Type: Peer Reviewed Journal Article
URI: http://hdl.handle.net/20.500.11861/7600
ISSN: 01650114
DOI: 10.1016/j.fss.2004.12.009
Appears in Collections:Applied Data Science - Publication

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