Li Ping, Ji Ying, Wu Zhong, Qu Shao-Jian
Business School, University of Shanghai for Science and Technology, Shanghai 200000, China.
Management Engineering School, University of Nanjing for Information Science & Technology, Nanjing 210000, China.
Entropy (Basel). 2020 Jul 14;22(7):768. doi: 10.3390/e22070768.
Intuitionistic fuzzy distance measurement is an effective method to study multi-attribute emergency decision-making (MAEDM) problems. Unfortunately, the traditional intuitionistic fuzzy distance measurement method cannot accurately reflect the difference between membership and non-membership data, where it is easy to cause information confusion. Therefore, from the intuitionistic fuzzy number (IFN), this paper constructs a decision-making model based on intuitionistic fuzzy cross-entropy and a comprehensive grey correlation analysis algorithm. For the MAEDM problems of completely unknown and partially known attribute weights, this method establishes a grey correlation analysis algorithm based on the objective evaluation value and subjective preference value of decision makers (DMs), which makes up for the shortcomings of traditional model information loss and greatly improves the accuracy of MAEDM. Finally, taking the Wenchuan Earthquake on May 12th 2008 as a case study, this paper constructs and solves the ranking problem of shelters. Through the sensitivity comparison analysis, when the grey resolution coefficient increases from 0.4 to 1.0, the ranking result of building shelters remains stable. Compared to the traditional intuitionistic fuzzy distance, this method is shown to be more reliable.
直觉模糊距离测度是研究多属性应急决策（MAEDM）问题的一种有效方法。遗憾的是，传统的直觉模糊距离测度方法不能准确反映隶属度和非隶属度数据之间的差异，容易导致信息混淆。因此，本文从直觉模糊数（IFN）出发，构建了基于直觉模糊交叉熵和综合灰色关联分析算法的决策模型。针对属性权重完全未知和部分已知的多属性应急决策问题，该方法基于决策者（DM）的客观评价值和主观偏好值建立了灰色关联分析算法，弥补了传统模型信息损失的不足，大大提高了多属性应急决策的准确性。最后，以2008年5月12日汶川地震为例，构建并求解了避难所的排序问题。通过敏感性比较分析，当灰色分辨系数从0.4增加到1.0时，搭建避难所的排序结果保持稳定。与传统的直觉模糊距离相比，该方法更可靠。
