基于联系数几何特性的区间数多属性决策  

Interval Multiple Attribute Decision Making Based on Geometric Properties of Connection Number

作　　者：陆广地[1] LU Guang-di(Suqian Branch of Economics and Trade, Jiangsu Lianhe Technical Institute, Shuyang 223600, Chin)

机构地区：[1]江苏联合职业技术学院宿迁经贸分院,江苏沭阳223600

出　　处：《数学的实践与认识》2017年第18期194-200,共7页Mathematics in Practice and Theory

基　　金：2014年江苏高校哲学与社会科学资助课题(2014SJB333);江苏2016年陶研会重点课题(JSTY088)

摘　　要：针对联系数用于区间数多属性决策时会遇到联系数中i难以取值的问题,系统研究了联系数的几何特性:先把区间数转换成效益型三元联系数进行决策建模,再检验联系数的三个联系分量能否构成一个三角形,在所有能构成三角形的若干个方案中,三角形面积大的方案优于面积小的方案.实例表明,方法思路新颖,原理科学,方法简明,决策结果可靠.In this paper, we study the geometric properties of the connection number when the connection number is used to determine the number of links in the interval multi-attribute decision making. Firstly, the interval number is converted into the benefit type three element connection number to make the decision model, and then check whether the connection of the three components can form a triangle. In all the schemes which can form a triangle, the scheme of the triangle area is larger than that of the small area. The example shows that the method is novel, scientific, concise and reliable.

关 键 词：区间数 多属性决策 联系数几何特性 三角形面积 集对分析 

分 类 号：O225[理学—运筹学与控制论]