Possibility degree programming model for uncertain multi-attribute decision making and its application
- 数学科学－已发表论文 
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.