基于期望和宽度的新距离测度的区间数排序  

A New Definition of Distance Measure of Rank of Interval Numbers Based on the Expectation and Width

作　　者：白玉娟[1] 

机构地区：[1]陇东学院数学与统计学院,甘肃庆阳745000

出　　处：《河西学院学报》2015年第5期13-17,共5页Journal of Hexi University

摘　　要：通过考虑两区间数中任意两点之间的偏差,同时减去区间数公共部分中任意两点之间的偏差,利用区间数的期望和宽度,给出了一种新的区间数距离公式,并验证其合理性.最后基于该距离公式对区间数进行排序,并通过实例验证该方法的可行性.According to the expectation and width of the interval number, a new definition of interval number distance is proposed by considering the distance between random points of two interval numbers and subtracting the distance of random points of the common part of two interval numbers, and the rationality is also testified. And then, under the new definition,this paper provides and verifies the validity of an interval distance formula by the simple application of the new method of ranking interval examples and giving some numerical simulation by the Matlab software.

关 键 词：区间数 区间数距离 排序 

分 类 号：O223[理学—运筹学与控制论]