Journal of Japan Society for Fuzzy Theory and Systems
Online ISSN : 2432-9932
Print ISSN : 0915-647X
ISSN-L : 0915-647X
The Distribution of Opposite Sugeno Integral of Uniformly Distributed Vectors Is Uniform
Haruki IMAOKA
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2000 Volume 12 Issue 1 Pages 153-159

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Abstract
We introduce a new fuzzy integral named opposite Sugeno integral. It can be considered to be an averaging operator because it has three essential properties of an averaging operator such as monotonicity, continuity and value between min and max. Usually an averaging operator shrinks variance. It is, however, proved that if fuzzy measure is assumed to be additive and the probability distribution of input vector is assumed to be uniform, the probability distribution after opposite Sugeno integral is operated is also uniform.
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© 2000 Japan Society for Fuzzy Theory and Intelligent Informatics
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