Proceedings of the Fuzzy System Symposium
21st Fuzzy System Symposium
Session ID : 9B2-2
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Host: Japan Society for Fuzzy Theory and Intelligent Informatics

Co-host: International Fuzzy Systems Association, IEEE Computational Intelligence Society Japan Chapter

9B2.
Logical Choquet Integrals: Properties and Comparisons
*Eiichiro Takahagi
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Keywords: Choquet Integral, Logical Choquet Integral, Fuzzy Measure, Choquet Integral for bipolar Scale, Fuzzy Switching Function
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Abstract
Ordinal fuzzy switching functions are calculated by max, min and (1-x) operators.Logical Choquet integrals are calculated by Choquet integral instead of max-min calculations.Logical Choquet integrals satisfy lots of good properties such as the complementary laws, monotonicity when the function is monotonicity with binary inputs and so on.To demonstrate the properties, 3 examples, `Fuzzy XOR', `friendship and power' and `Evaluation of 3 subjects' are given.
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© 2005 Japan Society for Fuzzy Theory and Intelligent Informatics
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