考虑决策者风险偏好的区间直觉模糊多属性群决策方法

提出了一种考虑决策者风险偏好且属性权重信息不完全的区间直觉模糊数多属性群决策方法。同时考虑相似度和接近度,确定每一属性的决策者权重。为了考虑决策者风险偏好对决策结果的影响和避免区间直觉模糊矩阵的渐进性,引入了决策者风险偏好系数,将集结后的综合决策矩阵转换成区间数矩阵。然后,为了客观地求出属性权重信息不完全环境下属性的权重,构建了基于区间直觉模糊交叉熵的属性权重目标规划模型,该模型不仅考虑了评价值的偏差,也强调了评价值自身的可信度。最后,通过研发项目选择问题的实例分析说明了所提方法的合理性和优越性。

Interval-valued Intuitionistic Fuzzy Multi-attribute Group Decision Making Considering Risk Preference of Decision Maker

This paper proposes a new Atanassov’s interval-valued intuitionistic fuzzy values(AIVIFVs)multiple attribute group decision making(MAGDM)method considering the risk preference of decision makers with incomplete attribute weight information. We determine the weight of each decision maker(DM)with regard to each attribute by taking into account the similarity degree and proximity degree simultaneously. Next, given the fact that the risk preference of decision makers can have an effect on decision making results and prevent an AIVIF matrix from being weighted for lots of times, we transform the AIVIFV collective decision matrix into an interval value matrix by the risk preference coefficient of DMs. In addition, in order to determine the attribute weights objectively, we establish a interval-valued intuitionistic fuzzy values programming model based on cross entropy. Furthermore, we rank all the alternatives by the comprehensive interval values of alternatives. At last, to illustrate the detailed process of the new method proposed in this paper, we take a research and development project selection problem for example. And by comparison analysis, it can be proved that the proposed method in this paper is superior to the existing methods.