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利用矩阵半张量积理论研究了随机模糊逻辑和随机模糊系统的控制器设计问题。给出了随机模糊逻辑的概念及相关性质;基于半张量积理论研究了随机模糊控制器,并给出了随机模糊规则的表示形式;确定了随机模糊控制器的结构矩阵和概率转移矩阵,得到了随机模糊推理的代数表达式。数值例子说明了该方法的有效性。
The problem of controller design for stochastic fuzzy logic and stochastic fuzzy systems is studied by using matrix semi-tensor product theory. The concept and related properties of stochastic fuzzy logic are given. The stochastic fuzzy controller is studied based on semi-tensor product theory, and the representation of stochastic fuzzy rules is given. The structure matrix and probability transfer matrix of stochastic fuzzy controller are determined. The algebraic expressions of stochastic fuzzy reasoning are obtained. Numerical examples illustrate the effectiveness of this method.