摘要
针对多属性决策中的组合赋权问题,提出了一种新的多属性决策权重集结方法.该方法综合考虑权本身具有的随机性以及权向量之间的一致性要求,建立约束非线性优化模型.在分析和借鉴现有方法的基础上,设计一种改进粒子群优化算法进行求解.在决策矩阵已知的情况下,讨论不同组合赋权方法的合理性评价问题.最后,将本文提出的方法与已有组合赋权方法进行比较,结果表明该方法有效且比另外两种组合赋权方法更加合理.
Aimed at combination weighting in multiple attribute decision making, this paper proposes a novel approach for combining different weighting vectors. The proposed approach considers the randomness of weights themselves and the consistency among weighting vectors, constructs a constrained nonlinear model. On the basis of analyzing and learning from the existing methods, the paper presents an improved particle swarm optimization algorithm for the model. In addition, given the decision making matrix, a method for evaluating the reasonableness of combined weights is discussed. Finally, an example is conducted and the results show the proposed approach is effective and is more reasonable than two other combination approaches.
出处
《系统工程学报》
CSCD
北大核心
2012年第4期481-491,共11页
Journal of Systems Engineering
基金
国家自然科学基金重大资助项目(71131002)
国家自然科学基金资助项目(71071045)
关键词
多属性决策
组合赋权法
合理性评价
熵
PSO算法
multiple attribute decision making
combination weighting
reasonableness evaluation
entropy
PSO algorithm
