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The Ordered Modular Averages
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DOI：10.1109/TFUZZ.2010.2077641.png)
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摘要
En 中文
Ordered modular averages (OMAs) generalize ordered weighted averages operators, with the replacement of the additivity property by the modularity. OMAs can be seen as a symmetrized idempotent modular aggregation functions, characterized by comonotone modularity. Each OMA can be seen also as a copula-based integral with respect to a symmetric capacity. Special OMAs are characterized, such as associative operators, operators with neutral element, or operators with an annihilator. Some construction methods for OMAs are also discussed.
Keyword:
Comonotone modularity
copula
modularity
symmetric capacity
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