| 基于多值方法的模糊逻辑函数最小化 |
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| 引用本文： | 沈继忠,姚茂群,陈华华. 基于多值方法的模糊逻辑函数最小化[J]. 计算机学报, 2004, 27(4): 555-560 |
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| 作者姓名： | 沈继忠 姚茂群 陈华华 |
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| 作者单位： | 浙江大学信息科学与电子工程学系,杭州,310028;浙江大学信息科学与电子工程学系,杭州,310028;杭州师范学院信息工程学院,杭州,310012 |
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| 摘 要： | 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。
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| 关 键 词： | 模糊逻辑 最小化 多值逻辑 差动电流开关理论 |
Minimization of Fuzzy Logic Function Based on Multi-Valued Logic Method |
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| SHEN Ji-Zhong ) YAO Mao-Qun ),) CHEN Hua-Hua ) ). Minimization of Fuzzy Logic Function Based on Multi-Valued Logic Method[J]. Chinese Journal of Computers, 2004, 27(4): 555-560 |
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| Authors: | SHEN Ji-Zhong ) YAO Mao-Qun ) ) CHEN Hua-Hua ) ) |
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| Affiliation: | SHEN Ji-Zhong 1) YAO Mao-Qun 1),2) CHEN Hua-Hua 1) 1) |
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| Abstract: | In this paper, 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. |
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| Keywords: | fuzzy logic minimization multi-valued logic theory of differential current switches |
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