Identification of Fuzzy Measures with Distorted Probability Measures
We consider the identification of fuzzy measures using a class of distorted probabilities – a scale transformation of probabilities. A fuzzy measure, which is a nonadditive set function with a high degree of freedom, enables us to express complicated interactions among evaluative items. Because of t...
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| Published in: | Journal of advanced computational intelligence and intelligent informatics Vol. 9; no. 5; pp. 467 - 476 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
01.09.2005
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| ISSN: | 1343-0130, 1883-8014 |
| Online Access: | Get full text |
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| Summary: | We consider the identification of fuzzy measures using a class of distorted probabilities – a scale transformation of probabilities. A fuzzy measure, which is a nonadditive set function with a high degree of freedom, enables us to express complicated interactions among evaluative items. Because of the high degree of freedom, however, it is difficult to identify all of the values μ(A) for every event A from known data μ(B), B ∈
A
, where
A
is generally a small subclass of events. In this paper, we classify fuzzy measures by introducing “type,” and propose an identifying fuzzy measures using a classified class of distorted probabilities. |
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| ISSN: | 1343-0130 1883-8014 |
| DOI: | 10.20965/jaciii.2005.p0467 |