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A hybrid DEMATEL-FRACTAL method of handling dependent evidences
Engineering Applications of Artificial Intelligence ( IF 8 ) Pub Date : 2020-02-25 , DOI: 10.1016/j.engappai.2020.103543
Shengzhong Mao , Yuzhen Han , Yong Deng , Danilo Pelusi

Dempster combination rule in evidence theory is widely used in data fusion system. One assumption of Dempster combination rule is the independence among different evidences. However, it is difficult to satisfy this requirement due to many influencing factors. The main contribution of this paper is to propose a systematic model to deal with dependence evidences in evidence theory. The core of the model can be divided into two parts: handling inner dependence and handling outer dependence. For the inner dependence, we use DEMATEL model to establish the relationships between different components in the system and get their relative weights considering their influences. For the outer dependence, we use BPAs inherent fractals features to deal with the uncertainty in the outer environment as well as the dependence among each collected evidence. After that we combine these two aspects of dependence and make decisions. By discounting evidences we avoid redundant calculation thus obtain useful information as much as possible. A case study of transportation project selection problem is used to illustrate our proposed method.



中文翻译:

混合DEMATEL-FRACTAL处理依赖证据的方法

证据理论中的Dempster组合规则在数据融合系统中得到了广泛的应用。Dempster组合规则的一个假设是不同证据之间的独立性。然而,由于许多影响因素,难以满足该要求。本文的主要贡献是提出了一个处理证据理论中依赖证据的系统模型。该模型的核心可以分为两部分:处理内部依赖性和处理外部依赖性。对于内部依赖性,我们使用DEMATEL模型建立系统中不同组件之间的关系,并考虑它们的影响来获得它们的相对权重。对于外部依赖性,我们使用BPA固有的分形特征来处理外部环境中的不确定性以及每个收集的证据之间的依赖性。之后,我们将依赖性的这两个方面结合起来并做出决策。通过减少证据,我们避免了多余的计算,从而尽可能地获取有用的信息。以交通项目选择问题为例,对本文提出的方法进行了说明。

更新日期:2020-02-25
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