Choquet积分的模糊化扩展Ⅱ型

Type Ⅱ Fuzzification on Choquet Integral

重点讨论Choquet积分的II型模糊化扩展形式。相对于Choquet积分的模糊化扩展I型,II型扩展支持模糊数的被积函数,并给出精确数的积分结果。基于带符号的模糊测度,分别讨论了Choquet积分的模糊化扩展II型的计算方法和相关算法。并用实例说明:Choquet积分的模糊化扩展II型作为一种聚合工具在处理涉及非精确数的数据挖掘问题(例如:推理和回归问题)上的实用价值。

This paper provided a detailed discussion on one fuzzification of Choquet integral which supports fuzzy-valued integrand and gave crisp-valued integration result. It is a generalized Choquet integral for fuzzy-valued integrand, inter- val-valued integrand, as well as the crisp-valued integrand. The presented generalized Choquet integral with respect to signed fuzzy measure can act as an aggregation tool which is especially useful in many information fusing and data mining problems （such as regression and decision making） where not only crisp data but also heterogeneous fuzzy data are involved.