Sugeno integral

In mathematics, the Sugeno integral, named after M. Sugeno, is a type of integral with respect to a fuzzy measure.

Let ${\displaystyle (X,\Omega )}$ be a measurable space and let ${\displaystyle h:X\to [0,1]}$ be an ${\displaystyle \Omega }$-measurable function.

The Sugeno integral over the crisp set ${\displaystyle A\subseteq X}$ of the function ${\displaystyle h}$ with respect to the fuzzy measure ${\displaystyle g}$ is defined by:

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