混合值逻辑及其应用

混合值逻辑是布尔逻辑和多值逻辑的一种自然推广, 是本文作者及其研究小组引进的一个新概念。 它在系统控制及相关领域中得到许多应用, 显示了很强的生命力。 本文的目的是对混合值逻辑的定义、运算及其应用给出一个较为系统的综述, 并使相关概念及记号规范化。利用矩阵半张量积, 本文首先介绍混合值逻辑算子的定义、计算方法及主要性质。 其次, 论文分别介绍混合值逻辑的3个方面的应用: (1) 有限记忆的动态博弈; (2) 解模糊关系方程; (3) 动态-静态布尔网络。

Mix-valued logic and its applications

Mix-valued logic is a natural generalization of Boolean Logic and k-valued logic.It is a new concept proposed by the authors and their research group.It plays an important role in systems control and related fields,and shows it vivid life.The purpose of the paper is to give a systematic survey on the definition,calculation,and main properties of mix-valued logic,and also to normalize the concepts and notations.Using the semi-tensor product of matrices,this paper introduces the definition of mix-valued logic...