随机系统的Fuzzy系统逼近

Fuzzy Systems Approximation of Stochastic Systems

揭示随机系统的Fuzzy系统逼近.首先,相对于不确定性系统,给出了随机系统的定义,它视为对一个不确定系统的逼近.然后指出,对于任意给定的一个随机系统,总能将它转化为一组Fuzzy推理规则,由此可构造一个Fuzzy系统,并且证明这样构造的Fuzzy系统能逼近给定的随机系统到指定的精度.随后,讨论Fuzzy系统与随机系统转换中的还原性.这里通过实例展现这种逼近的效果,还用例子说明某些特殊随机系统的Fuzzy系统逼近.最后简要地概述不确定性系统的统一性问题.

In this paper,the fuzzy reasoning significance of stochastic systems is revealed.What is a stochastic system is defined with respect to uncertainty systems,which is regarded as an approximation to an uncertainty system.Then it is pointed out that a stochastic system arbitrarily given can be transformed into a group of fuzzy inference rules,and a fuzzy system is made by means of the group of fuzzy inference rules and the fuzzy system can approximate the given stochastic system for reaching arbitrarily given precision.Thereafter the reducibility in transformation between fuzzy systems and stochastic systems is discussed.At last,unification of uncertainty systems is summarized.From the viewpoint of philosophy,uncertainty originally contains randomness as well as fuzziness,and randomness and fuzziness are often interwoven.Therefore,it is very difficult to divide them up.