系统L中τ(A→X)≥α型逻辑不等式的解问题  

Solution for logic inequality of τ(A→X)≥α type in system L

作　　者：王廷明[1] 

机构地区：[1]青岛大学师范学院,山东青岛266071

出　　处：《计算机工程与应用》2012年第16期44-46,50,共4页Computer Engineering and Applications

摘　　要：二值命题逻辑L中τ(A→X)≥α型基于真度的逻辑不等式在二值命题逻辑系统L的近似推理研究中有着重要应用。通过F(Sn)中公式是逻辑不等式τ(A→X)≥α解的几个充要条件,给出了该逻辑不等式的解集表示及其按真度相等关系和逻辑等价关系的分类定理,得到了等价类的结构表示和等价类个数结论,为基于真度的逻辑不等式问题的进一步研究和应用提供结构性方法。Based on the truth degree, the type of logic inequality τ（A X ） 3 α plays an important role in the study of the approximate reasoning in the two-valued propositional logic system L. According to several necessary and sufficient conditions for the solution of logic inequality τ（A X ） 3 α in F（Sn）, the solution set expression of this kind of logic inequality is obtained, and the classification theory is suggested under the relations either equality of truth degree or logic equivalent. Meanwhile, the structural representation and number conclusion of equivalence are also got. This result can be used as the structural method for further study of logic inequality and its truth degree.

关 键 词：二值命题逻辑 逻辑不等式 真度 极小项 解集 

分 类 号：O141.3[理学—数学]