Choquet Integral is a powerful aggregation function especially in merging finite real inputs. However in real life, many inputs exist in continuum, e.g., the Riemann Integrable functions. The standard Choquet Integral formulas can not accommodate such inputs. This study proposes a new expression which enables merging Riemann Integrable inputs using a discrete Choquet integral. Relevant properties arising therein are discussed. A few application domains are identified which include time-dependent multicriteria decision aid and dynamic fuzzy cooperative games, etc.

中文翻译：

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黎曼可积输入的离散 Choquet 积分与某些应用


Choquet Integral 是一个强大的聚合函数，特别是在合并有限实数输入方面。然而在现实生活中，许多输入存在于连续体中，例如黎曼可积函数。标准 Choquet 积分公式无法容纳此类输入。本研究提出了一种新的表达式，可以使用离散 Choquet 积分合并黎曼可积输入。讨论了其中出现的相关属性。确定了一些应用领域，包括依赖时间的多标准决策辅助和动态模糊合作博弈等。