区间型效益-成本型多属性决策联系数算法  

Interval Benefit-Cost Multi-Attribute Decision-making Algorithm Based on Binary Connection Number

作　　者：刘宗宝 陆广地[1,2] LIU Zong-bao;LU Guang-di(Suqian Economic and Trade Branch of Jiangsu United Vocational and Technical College,Shuyang 223600,China;School of Computer Information and Technology,Jiangsu University of Science and Technology,Jiangsu 215600,China)

机构地区：[1]江苏联合职业技术学院宿迁经贸分院,江苏沐阳223600 [2]江苏科技大学计算机信息与技术学院,江苏镇江215600

出　　处：《数学的实践与认识》2021年第21期93-100,共8页Mathematics in Practice and Theory

基　　金：国家陶研会课题(TD2017203);中国职教学会课题(1900379)。

摘　　要：针对属性值是区间数的效益成本型不确定多属性决策问题,先把区间数转换成二元联系数,利用相似关系思路确定二元联系数中不确定示性系数i的左、右及期望示性值,去求得各区间数的左、右不确定数及期望数,由期望数计算每个方案的单位成本综合收益率.依比值大小对多方案进行期望初排序,再据左右不确定数对初排序做不确定分析得终排序,实例表明该算法的有效性和实用性.Aiming at the benefit-cost uncertain multi-attribute decision-making problem with interval number as attribute value,firstly,the interval number is transformed into binary connection number in set pair theory,and the left and right indicative values and expected indicative values of uncertainty coefficient in binary connection number are determined by using similarity analysis,and then the left and right uncertain numbers and expected numbers of each interval number are obtained.The quotient of comprehensive benefit and comprehensive cost of each scheme is calculated by the expected number.According to the magnitude of quotient,each scheme is expected to be ranked initially,and then the uncertainty analysis is made according to the left and right uncertainty numbers,and the final ranking is obtained.The example application shows that the algorithm is effective and practical.

关 键 词：区间数 效益成本型多属性决策 二元联系数 不确定性示性系数 示性值 左不确定数 右不确定数 期望数 决策算法 

分 类 号：O225[理学—运筹学与控制论]