On the FMα-Integral of Fuzzy-Number-Valued Functions

摘要：

　　In this paper,we define the FMα integrals of fuzzy-number-valued functions and discuss its properties.Especially,we give two examples which show that the FMα integrable function is not fuzzy McShane integrable,and the fuzzy Henstock integrable function is not FMα integrable function.As the main outcomes,we prove that a fuzzy-number-valued function f: I0 → En is FMα integrable on I0 if and only if there exists an ACGα function F such that F = f almost everywhere on I0.

关键词： Fuzzy number fuzzy-number-valued functions FMαintegrals

作者: Yabin Shao Qiang Ma Xiaoxia Zhang

作者单位: College of Science,Chongqing University of Posts and Telecommunications, Chongqing, 400065, China Information Management Center,Northwest University for Nationalities Network, Lanzhou, 730030 China Mathematics and Information Science,Northwest Normal University, Lanzhou, 730070, China

会议类型: 国际会议

会议名称: The 9th International Conference on Rough Sets and Knowledge Technology (RSKT 2014)(第九届粗糙集与知识技术国际会议)

会议地点: 上海

会议语种:英文

页码: 386-396

在线出版日期: 2014-10-24（万方平台首次上网日期，不代表论文的发表时间）