Abstract

The basic properties of Choquet integral and Sugeno integral as aggregation tools are shown. The conditions for aggregation functions to be the Choquet integral or the Sugeno integral is presented. Selecting appropriate aggregation tool is fundamental for having a good modeling and thus studying their properties is a fundamental issue. It is also shown that the Choquet integral and Sugeno type integral are essential, from a purely mathematical view, in the generalized fuzzy integral.KeywordsAggregation FunctionFuzzy MeasureAggregation ToolChoquet IntegralMathematical ViewThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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