Please use this identifier to cite or link to this item:
http://hdl.handle.net/20.500.11861/7579
Title: | Integration on finite sets |
Authors: | Wang, Zhenyuan Prof. LEUNG Kwong Sak Klir, George J. |
Issue Date: | 2006 |
Source: | International Journal of Intelligent Systems, 2006, vol. 21 (10), pp. 1073 - 1092 |
Journal: | International Journal of Intelligent Systems |
Abstract: | Various types of integrals with respect to signed fuzzy measures on finite sets with cardinality n can be presented as corresponding rules for partitioning the integrand. The partition can be expressed as an n-dimensional vector, whereas the signed fuzzy measure is also an n-dimensional vector. Thus, the integration value is the inner product of these two vectors. Two pairs of extremes, the Lebesgue-like integral versus the Choquet integral and the upper integral versus the lower integral, are discussed in detail. © 2006 Wiley Periodicals, Inc. |
Type: | Peer Reviewed Journal Article |
URI: | http://hdl.handle.net/20.500.11861/7579 |
ISSN: | 1098111X |
DOI: | 10.1002/int.20179 |
Appears in Collections: | Publication |
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