基干集值模糊测度的实值Choquet积分

Real-valued Choquet Integral Based on Lebesgue-Stieltjes Measure

首先利用模糊测度选择的定义对Choquet积分进行了推广,定义了基于集值模糊测度的实值Choquet积分,然后讨论了此类积分的几个性质,最后给出几个收敛定理.

It first gives the definition of real-valued Choquet Integral based on Lebesgue-Stieltjes measure by making use of fuzzy measurable selector ; Then , it researches some properties of this new integral;Finally,it researches several convergence theorems of this integral.