模糊映射下隶属度函数的传递

Transmission of membership function under fuzzy mapping

首先在一元模糊反映射存在一对多的情况下,给出隶属度函数的一种求取算法,用以改善模糊映射为一元函数时的模糊性传递;其次,在一定假设条件下,提出一般多元函数的模糊性传递原理,并给出证明;最后,借鉴边际概率分布的计算公式,针对多元隶属度函数已知的情形,给出求取单个变量的隶属度函数公式,并进行了相应证明.

When the fuzzy inverse mapping is one-to-many and the fuzzy mapping is simple function, an algorithm to calculate membership function is given for improving the transmission of fuzziness. Under certain assumptions, we propose the transmission theorem of fuzziness of general muhivariable function, and the proof is given. Using the calculation formula of marginal probability for reference, we show how to calculate one single variable membership function when the multivariable membership function is given, and the proof is also given.