摘要
给出了区间数和Fuzzy数的一种距离,并在这种距离下,给出了区间值函数和Fuzzy值函数的5种收敛定义,接着讨论了点值函数,区间值函数和Fuzzy值函数的5种收敛之间的关系,得到了一些有意义的结论,最后,给出几乎一致收敛和依测度收敛的积分收敛定理.
This paper gives one kind of distance for interval-number and fuzzy-number,and by using of this distance,we give five kinds of convergence definitions about interval valued function and fuzzy valued function.Then we discusstheir convergence relations between spot-value function,interval-valued and fuzzy valued function,and obtain some significant conclutions. Finally wegive some integral,convergence theorems of convergence uniformly and convergence in measure.
出处
《河北工学院学报》
1994年第3期25-32,共8页
Journal of Hubei Polytechnic University
关键词
区间值函数
模糊值函数
积分收敛
s:Interval-number,Fuzzy-number,Spot-value Function,Convergence.