基于直觉模糊集和有效测度的Choquet积分  

Choquet integral based on intuitionistic fuzzy set and efficiency measure

作　　者：杨兰珍[1] 哈明虎[1] 张自儒[2] 

机构地区：[1]河北大学数学与计算机学院,河北保定071002 [2]河北软件职业技术学院学生处,河北保定071000

出　　处：《河北大学学报（自然科学版）》2014年第3期230-233,243,共5页Journal of Hebei University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60573069;60773062;11201110);河北省自然科学基金资助项目(F2010000318);河北省教育厅资助项目(2010109;Y2012021)

摘　　要：给出了一种基于直觉模糊集的实值有效测度,讨论了其相关性质;结合有效测度,讨论了直觉模糊集合上的Choquet积分及其性质,从而拓广了非可加测度和积分理论.This paper introduces the concept of real-valued efficiency measure based on intuitionistic fuzzy sets,and discusses its relative properties. Based on the proposed efficiency measure, the Choquet in- tegral defined on intuitionistic fuzzy sets was studied, and its properties were given. The theory of non-ad- ditive measure and integral was generalized.

关 键 词：直觉模糊集 有效测度 CHOQUET积分 

分 类 号：O159[理学—数学]