计算机工程与应用 ›› 2010, Vol. 46 ›› Issue (8): 25-28.DOI: 10.3778/j.issn.1002-8331.2010.08.007

• 博士论坛 • 上一篇    下一篇

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

胡 凯1,2   

  1. 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
  • 收稿日期:2009-10-20 修回日期:2010-01-07 出版日期:2010-03-11 发布日期:2010-03-11
  • 通讯作者: 胡 凯

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

HU Kai1,2   

  1. 1.School of Mathematical Sciences,Key Laboratory of Mathematics and Complex System,Ministry of Education,Beijing Normal University,Beijing 100875,China
    2.School of Mathematics Science,Liaocheng University,Liaocheng,Shandong 252059,China
  • Received:2009-10-20 Revised:2010-01-07 Online:2010-03-11 Published:2010-03-11
  • Contact: HU Kai

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。

Abstract: As a tool of composing states of factors,multifactorial function which has been successfully applied in fuzzy decision-making and comprehensive degree evaluation.In the paper proposed by Li Hong-xing,the additive standard multifactorial function has been studied in detail.As a series of the paper proposed by Li Hong-xing,the axiomatic definition of the nonadditive standard multifactorial function is given.The construction and the properties of it are also researched.

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