基于多值方法的模糊逻辑函数最小化

Minimization of Fuzzy Logic Function Based on Multi-Valued Logic Method

首先提出了模糊逻辑和多值逻辑的相似性 ,并从开关信号理论出发建立了三值逻辑函数阈运算和模糊逻辑函数文字运算的对应关系 ,进而提出了基于差动电流开关理论的三值逻辑函数化简法求模糊逻辑函数最小化表达式的算法 ,并用该算法对几个模糊逻辑函数实例进行了化简 .实例操作表明 ,该算法具有操作简单快捷的特点 ,是获得模糊逻辑函数最小化表达式的一种有效的方法 .

The similarities between fuzzy logic(FL) and multi-valued logic are discussed, then, the corresponding relationship between the threshold operations of ternary value logic(TVL) function and the literals of FL function is established based on switch-signal theory, and an algorithm for finding the minimization form of FL function using the method of finding that of TVL function based on differential current switches is proposed. Using the algorithm, several minimization forms of FL function are found, and the operations to examples show that the algorithm has the characteristics of simple and shortcut, and is an effective method for finding the minimization form of FL function.