无穷区间上的模糊值函数的积分  

Integral of fuzzy-valued functions on infinite intervals

作　　者：曹周斌 吴健荣[1] 

机构地区：[1]苏州科技大学数理学院,江苏苏州215009

出　　处：《苏州科技大学学报（自然科学版）》2017年第3期19-24,共6页Journal of Suzhou University of Science and Technology（Natural Science Edition）

基　　金：国家自然科学基金资助项目(11371013)

摘　　要：通过引进模糊数的一种新的序关系,在已有模糊值函数在有界闭区间上积分的基础上,利用此序关系导出的模糊数列的极限,将模糊值函数在有界闭区间上的积分推广到了在无穷区间上的广义积分,并初步讨论了该广义积分的基本性质及可积条件。In this paper, we introduced a new kind of order relation of fuzzy numbers. On the basis that the inte-gration of fuzzy-valued functions was on the bounded closed intervals, we generalized it from bounded closed in-tervals to infinite intervals with the limit of the sequence of fuzzy numbers derived from the order relation. In ad-dition, we discussed the fundamental properties of and the integrability conditions for this new kind of general-ized integral.

关 键 词：模糊值函数 无穷区间 广义积分 可积条件 

分 类 号：O172.2[理学—数学]