模糊值函数的无穷积分

The Infinite Integral of Fuzzy Value Function

[1]中给出了用三参数上半连续端点函数表示模糊数的充要条件和逼近定理,本文在此基础上给出了无穷区间上模糊值函数和它的积分的定义,并讨论了积分收敛的性质定理和判定定理,丰富了[2]的内容.

It is given in [ 1 ] the sufficient and necessary conditions of presenting fuzzy numbers by thethree parameters upper semi - continuous end point function, and so is the approximationtheorem. Based on that, this paper gives the definition of fuzzy value function and its integralon infinite integral, discusses the property theorem and discriminating theorem of infiniteintegral convergence, which enriches the content of [2].