Choquet积分与Sugeno积分的不等式关系  

Inequality relating Choquet integral and Sugeno integral

作　　者：冯慧敏[1] 李雪非[2] 吕文静[3] 

机构地区：[1]河北大学数学与计算机学院,河北保定071002 [2]河北农业大学理学院,河北保定071001 [3]河北大学新校区管理与建设办公室,河北保定071002

出　　处：《河北大学学报（自然科学版）》2013年第3期231-235,共5页Journal of Hebei University(Natural Science Edition)

基　　金：河北省自然科学基金资助项目(F2011201063;F2012201023);河北农业大学非生命学科和新兴学科科研基金资助项目(Fs20100802)

摘　　要：模糊测度是经典测度的推广,适用于存在交互作用环境下的综合评价问题.而勒贝格积分也相应地被模糊积分所代替,Choquet积分和Sugeno积分是多指标决策中应用较多的2种模糊积分.针对综合评价问题,Choquet积分和Sugeno积分存在一种不等式关系,对其进行证明,并讨论其在应用问题中的作用.Fuzzy measure is an offspring of classical measure. Fuzzy measure is suitable for compre- hensive evaluation problem where exists interaction. Accordingly Lebesgue integral is replaced by fuzzy in- tegral. Choquet integral and Sugeno integral are two widely used methods in information fusion and multi- criteria decision making. In comprehensive evaluation condition, there is an inequality relationship between Choquet integral and Sugeno integral. This paper gave the proof of this inequality and discussed its sense in applications.

关 键 词：模糊积分 模糊测度 交互作用 多指标决策 

分 类 号：O159[理学—数学]