因素空间理论与知识表示的数学框架--突变型标准综合函数的性质与构造  

Factor spaces and mathematical frame of knowledge representation—Properties and composition of catastrophic standard multifactorial function

作　　者：胡凯[1,2] 

机构地区：[1]北京师范大学数学科学学院、数学与复杂系统教育部重点实验室,北京100875 [2]聊城大学数学科学学院,山东聊城252059

出　　处：《计算机工程与应用》2010年第8期25-28,共4页Computer Engineering and Applications

基　　金：国家自然科学基金Grant No.60774049~~

摘　　要：综合函数作为因素状态合成的工具,在多准则Fuzzy决策、综合程度估计以及多因素Fuzzy决策当中都得到了成功的应用。李洪兴详细研究了可加型标准综合函数,在此基础上,研究了非可加型标准综合函数,即突变型标准综合函数的公理化定义,以及性质和构造。As a tool of composing states of factors,muhifaetorial function which has been successfully applied in fuzzy decisionmaking and comprehensive degree evaluation.In the paper proposed by Bellman et al.,the additive standard muhifactorial function has been studied in detail.As a series of the paper proposed by Bellman et al.,the axiomatic definition of the nonadditive standard multifactofial function is given.The construction and the properties of it are also researched.

关 键 词：因素空间 综合函数 非可加型标准综合函数 突变型标准综合函数 

分 类 号：O159[理学—数学]