| 基于比较运算的广义反演律与广义对偶定理 |
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| 引用本文： | 王伶俐 吴训威. 基于比较运算的广义反演律与广义对偶定理[J]. 浙江大学学报(理学版), 1996, 23(2): 149-153 |
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| 作者姓名： | 王伶俐 吴训威 |
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| 作者单位： | 杭州大学电子工程系 |
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| 摘 要： | 本文首先提出运算反演的概念，并在应用比较运算综合函数的前提下讨论了诸比较运算的反演关系，由此建立了广义摩根定律、广义香农定律与广义对偶定理。如果限于使用取小（与）和取大（或）二种比较运算，则以上定律便回归到传统的表达形式。
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| 关 键 词： | 比较算 反演 反演定律 对偶定理 布尔代数 |
General Inversion Theorems and General Duality Principle Based on Comparison Operations |
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| Wang Linli,Wu Xunwei. General Inversion Theorems and General Duality Principle Based on Comparison Operations[J]. Journal of Zhejiang University(Sciences Edition), 1996, 23(2): 149-153 |
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| Authors: | Wang Linli Wu Xunwei |
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| Abstract: | In this paper,the inversion of operations is introduced,then the inversion relationship among all comparison operations in the case that a function is synthesized with comparison OPerations is discussed. Thus the general Morgan Theorem,the general Shannon Theorem and the general Duality Principle are proposed.The theorems and principles can be restored to the traditional expressions by using only the minimum(AND) and maximum(OR) comparison operations. |
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| Keywords: | comparison operation inversion inversion theorems duality principle |
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