【作者】 姚建南； 郭开仲；

【Author】 YAO Jian-nan~1,GUO Kai-zhong~2 (1.School of Management,Guangdong University of Technology,Guangzhou Guangdong 510520;China; 2.School of Management,Guangdong University of Technology,Guangzhou Guangdong 510520,China)

【机构】 广东工业大学管理学院；

【摘要】 我们在错误的定义、错误集、错误逻辑、错误系统等理论的基础上,依据消、避错方法可知,消除错误需要使实际问题从有错误的状态变换到期望的状态,且许多错误可以通过变换论域而被消除。因此,本文系统地研究论域分解、相似、增加、置换、毁灭、综合变换等6种变换的变换方式、规律,并得到一条论域变换的定理。定理设U是论域,G是U上的一组规则,若U₁（?）U,U₂（?）U,U₁（?）U₂,且C₁={(（u,x）|u∈U₁,x=f（u,G）,x∈A},C₂={(（u,x）|u∈U₂,x=f（u,G）,x∈B},a=infA,b=supA,c=inf B,d=supB,则有a≤c,d≥b,其中A={x|（u,x）∈C₁} B={x|（u,x）∈C₂}。更多还原

【Abstract】 Based on the theory of the Definition of Error,Error Set,Error Logic and Error System,according to the methods of eliminating and avoiding errors,practical problems can be switched from the error state to the expected state by Error-elimination,and many errors may be eliminated through domain transformation.Therefore,this article first discusses the methods and rules of Six transformations（including the domain decomposition,similarity,augmentation,replacement,destruction and integration）,and then a theorem on the domain transformation is introduced. Theorem:say U is the domain and G is a group of rules for U,if U₁（?）U,U₂（?）U,U₁（?）U₂,and C₁={(（u,x）|u∈U₁,x=f（u,G）,x∈A}, C₂={(（u,x）|u∈U₂,x=f（u,G）,x∈B},a=infA,b=supA,c=inf B,d=supB, then a≤c,d≥b,（A={x|（u,x）∈C₁} B={x|（u,x）∈C₂}）.更多还原