模糊推理基本算法的数学基础     

潘正华 《上海大学学报(英文版)》2005,9(3):219-223

Algorithm of fuzzy reasoning has been successful applied in fuzzy control, but its theoretical foundation of algorithms has not been thoroughly investigated. In this paper, structure of basic algorithms of fuzzy reasoning was studied, its rationality was discussed from the viewpoint of logic and mathematics, and three theorems were proved. These theorems shows that there always exists a mathematical relation (that is, a bounded real function) between the premises and the conclusion for fuzzy reasoning, and in fact various algorithms of fuzzy reasoning are specific forms of this function. Thus these results show that algorithms of fuzzy reasoning are theoretically reliable.  相似文献   

赋值格为险象识别格的一种非经典逻辑系统K#(Ⅱ)     

白永成  郑亚林 《陕西理工学院学报(社会科学版)》2004,22(6):1-10

研究赋值格为非线性序的一种非经典逻辑低矺#.在该系统中,格结构不同于Boole代数,蕴涵算子→取Kleene-Dienes算子RKD.得到若干结果,特别是K#-准重言式恰是经典命题逻辑C2中的重言式,从而也等于C2中的定理,即QT(K#)=T(C2)=Φ├ .  相似文献