Deriving priority weights from intuitionistic multiplicative preference relations under group decision making settings
Deriving priority weights from intuitionistic multiplicative preference relations under group decision making settings
复制标题
在群体决策设置下从直觉乘法偏好关系导出优先级权重
DOI：
10.1057/s41274-016-0171-6
复制
发表时间：
2017
影响因子：
3.6
通讯作者：
Chonghui Guo
中科院分区：
文献类型：
--
作者：
Zhen Zhang;Chonghui Guo
直觉乘性偏好关系（IMPR）考虑了一个备选方案相对于另一个备选方案的偏好度和一个备选方案相对于另一个备选方案的非偏好度，是决策者使用Saaty的1-9量表获取其偏好信息的有用工具。在本文中，我们专注于群决策与IMPR。首先，我们分析了在以前的工作中的IMPR的一致性定义的缺陷，然后提出了一个新的定义来克服的缺陷。在此基础上，提出了一种基于线性规划的一致性检验和改进算法。其次，我们讨论了IMPR和规范化的直觉乘性权重向量之间的关系，并开发了两种方法，分别基于完全和不完全IMPR的群决策。基于所提出的算法和方法，提出了一个通用的框架与IMPR群决策。最后，通过数值算例验证了所提方法的有效性.结果表明，所提出的方法可以有效地处理具有IMPR的群决策问题。
The intuitionistic multiplicative preference relation (IMPR), which takes into account both the ratio degree to which an alternative is preferred to another and the ratio degree to which an alternative is non-preferred to another, is a useful tool for decision makers to elicit their preference information using Saaty’s 1–9 scale. In this paper, we focus on group decision making with IMPRs. First, we analyze the flaws of the consistency definition of an IMPR in previous work and then propose a new definition to overcome the flaws. On this basis, a linear programming-based algorithm is developed to check and improve the consistency of an IMPR. Second, we discuss the relationships between an IMPR and a normalized intuitionistic multiplicative weight vector and develop two approaches to group decision making based on complete and incomplete IMPRs, respectively. Based on the proposed algorithm and approaches, a general framework for group decision making with IMPRs is proposed. Finally, some numerical examples are provided to demonstrate the proposed approaches. The results show that the proposed approaches can deal with group decision-making problems with IMPRs effectively.