基于泛积分的Fuzzy综合评判  

Fuzzy Synthetic Evaluation Based on Pan-Integral

作　　者：李晓奇[1] 宋叔尼[2] 

机构地区：[1]东北大学秦皇岛分校,河北秦皇岛066004 [2]东北大学理学院,辽宁沈阳110004

出　　处：《东北大学学报（自然科学版）》2007年第6期895-897,共3页Journal of Northeastern University(Natural Science)

基　　金：国家自然科学基金资助项目(50534020)

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.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.

关 键 词：FUZZY积分 泛积分 Fuzzy综合评判 Fuzzy评判泛空间 

分 类 号：O159[理学—数学]