东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2007, Vol. 28 ›› Issue (6): 895-897.DOI: -

• 论著 • 上一篇    下一篇

基于泛积分的Fuzzy综合评判

李晓奇;宋叔尼;   

  1. 东北大学秦皇岛分校;东北大学理学院 河北秦皇岛066004;辽宁沈阳110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2007-06-15 发布日期:2013-06-24
  • 通讯作者: Li, X.-Q.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(50534020)

Fuzzy synthetic evaluation based on pan-integral

Li, Xiao-Qi (1); Song, Shu-Ni (2)   

  1. (1) Northeastern University at Qinhuangdao, Qinhuangdao 066004, China; (2) School of Sciences, Northeastern University, Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2007-06-15 Published:2013-06-24
  • Contact: Li, X.-Q.
  • About author:-
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摘要： 基于Fuzzy测度空间上的泛积分概念,给出了Fuzzy评判泛空间的概念.通过对常见的评判模型的讨论以及对Fuzzy积分结构的探讨,指出了泛积分与Fuzzy综合评判之间的联系,而泛积分在一定条件下的收敛定理为此打下了良好的基础.鉴于泛积分概念的高度抽象性和高度概括性,使得它在Fuzzy综合评判中的应用具有广泛的前景.文中给出了两个具体情况用以说明这种应用的可行性.

关键词: Fuzzy积分, 泛积分, Fuzzy综合评判, Fuzzy评判泛空间

Abstract: Based on the concept of pan-integral defined in fuzzy measure space, the concept of fuzzy evaluation pan-space is given as a derivative. Discussing the common evaluation models and the structure of fuzzy integral, we point out the association between fuzzy synthetic evaluation and pan-integral of which the convergence theorem can play well a basic role in association. In view of that the pan-integral is highly abstract and generalizable, it has good prospects for a wide application in fuzzy synthetic evaluation. Two examples are given showing the practicality of applications.

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