Research on DEMATEL method based on three-parameter interval grey number and its application

Huabin Cheng, Ping Xiong
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Abstract

The decision-making trial and evaluation of laboratory method (DEMATEL) can effectively analyze the relationship between the intrinsic factors of complex systems, so it is widely used in many fields. In this paper, based on a new ordered weighted average operator of three-parameter interval grey number (TPIGN-OWA), a novel DEMATEL model is given, which has three advantages: The first one is that the three-parameter interval grey number (TPIGN) can reflect the real intention of the decision maker more than the interval grey number. The second one is that the new TPIGN-OWA takes into account the weight of the two intervals assembly, thus, the intention of experts can be more accurately expressed. The last one is that in the decision-making process, it is not necessary for the decision-maker to have strong mathematical knowledge background, but only to give the corresponding TPIGN according to the scale of the importance of factors, which is easier for the decision-maker to operate. Finally, this method is applied to the evaluation of fire safety management, and its the effectiveness and practicability is verified.
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基于三参数区间灰数的DEMATEL方法及其应用研究
决策试验与评价实验室方法(DEMATEL)能够有效地分析复杂系统内在因素之间的关系,因此在许多领域得到了广泛的应用。本文基于一种新的三参数区间灰数有序加权平均算子(TPIGN- owa),给出了一种新的DEMATEL模型,该模型具有以下三个优点:一是三参数区间灰数(TPIGN)比区间灰数更能反映决策者的真实意图;二是新的tpig - owa考虑了两个区间集合的权重,从而可以更准确地表达专家的意图。最后一个是在决策过程中,决策者不需要有很强的数学知识背景,只需要根据因素的重要程度给出相应的TPIGN,这样更便于决策者操作。最后,将该方法应用于消防安全管理评价,验证了该方法的有效性和实用性。
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