模糊数值函数的Denjoy型积分  

On Denjoy-type integral for fuzzy-number-valued functions

作　　者：巩增泰[1] 李娟[1] 姚红霞[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2006年第3期1-4,17,共5页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学重点基金资助项目(40340235053);甘肃省自然科学基金资助项目(3ZS041-A25-004);西北师范大学重点学科基金资助项目

摘　　要：给出了模糊数值函数的Denjoy型积分定义,并讨论了其性质;利用模糊数值函数的强Henstock积分对其进行刻划,从而给出了模糊数值函数的强Henstock可积的描述性定义,完善了模糊数值函数的积分理论.Based on completing the theory of fuzzy calculus and meeting the need of transferring a fuzzy differential equation into a fuzzy integral equation, the definition of the Denjoy-type integral for fuzzynumber-valued functions is given. In addition, the properties of this integral are discussed. Finally, it is characterized by using the strong Henstock integral of fuzzy-number-valued functions, and the descriptive definition of the strong Henstock integral for the fuzzy-number-valued functions is obtained.

关 键 词：模糊数 模糊积分 Denjoy型积分 强Henstock积分 

分 类 号：O157.2[理学—数学]