不确定多指标决策的可能度规划模型及其应用  

Possibility degree programming model for uncertain multi-attribute decision making and its application

作　　者：黄智力[1] 罗键[2] 

机构地区：[1]厦门理工学院应用数学学院,福建厦门361024 [2]厦门大学信息科学与技术学院,福建厦门361005

出　　处：《控制与决策》2017年第1期131-140,共10页Control and Decision

基　　金：国家自然科学基金项目(11426191;60975052);福建省重大科技项目(2011H6027)

摘　　要：针对指标权重未知的区间数型不确定多指标决策问题,提出区间数可能度与比较优势关系理论,并推导出一些相关结论.借鉴合作博弈中极大极小算法,建立基于区间数比较优势关系,确定指标权重的可能度规划模型.利用供选方案间相互比较的可能度矩阵测定信息,集结各方案比较的总体可能度值对供选方案集进行优劣筛选和排序,以此给出一种新的区间数型不确定多指标决策的可能度规划算法.最后通过算例验证了所提出模型算法的有效性和实用性.Aimming at the interval number-based uncertain multi-attribute decision making problem with unknown attribute weights, the possibility degree and comparative advantage relation theory of interval number is proposed, and some results and conclusions are derived. By learning from the idea of the min-max algorithm rules in the cooperative game theory, a possibility degree programming model is established to determine the attribute weight based on the comparative advantage relation of the interval number. Then, by utilizing the measurement information of the possibility degree matrix for the comparison of the alternatives, the overall measured value of comparative possibility degree of each alternative is gathered to filter the best or worst and sort the decision making alternatives set, and therefore an algorithm of possibility degree programming for interval number-based uncertain multi-attribute decision making is proposed. Finally, the effectiveness and practicability of the proposed model algorithm are illustrated by a numerical example.

关 键 词：不确定多指标决策 区间数 可能度规划模型 指标权重 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程] O159[自动化与计算机技术—控制科学与工程]