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一种基于模糊测度和证据理论的模糊软集在决策中的新方法:医学诊断中的应用

A novel method to use fuzzy soft sets in decision making based on ambiguity measure and Dempster-Shafer theory of evidence: An application in medical diagnosis.

作者信息

Wang Jianwei, Hu Yong, Xiao Fuyuan, Deng Xinyang, Deng Yong

机构信息

School of Computer and Information Science, Southwest University, Chongqing 400715, China; School of HanHong, Southwest University, Chongqing 400715, China.

Big Data Decision Institute, Jinan University, Tianhe, Guangzhou 510632, China.

出版信息

Artif Intell Med. 2016 May;69:1-11. doi: 10.1016/j.artmed.2016.04.004. Epub 2016 Apr 27.


DOI:10.1016/j.artmed.2016.04.004
PMID:27235800
Abstract

OBJECTIVE: Recently, fuzzy soft sets-based decision making has attracted more and more interest. Although plenty of works have been done, they cannot provide the uncertainty or certainty of their results. To manage uncertainty is one of the most important and toughest tasks of decision making especially in medicine. In this study, we improve the performance of reducing uncertainty and raising the choice decision level in fuzzy soft set-based decision making. METHODS AND MATERIAL: We make use of two appropriate tools (ambiguity measure and Dempster-Shafer theory of evidence) to improve fuzzy soft set-based decision making. Our proposed approach consists of three procedures: primarily, the uncertainty degree of each parameter is obtained by using ambiguity measure; next, the suitable basic probability assignment with respect to each parameter (or evidence) is constructed based on the uncertainty degree of each parameter obtained in the first step; in the end, the classical Dempster's combination rule is applied to aggregate independent evidences into the collective evidence, by which the candidate alternatives are ranked and the best alternative will be obtained. RESULTS: We compare the results of our proposed method with the recent relative works. Through employing our presented approach, in Example 5, the belief measure of the uncertainty falls to 0.0051 from 0.0751; in Example 6, the belief measure of the uncertainty drops to 0.0086 from 0.0547; in Example 7, the belief measure of the uncertainty falls to 0.0847 from 0.1647; in application, the belief measure of the uncertainty drops 0.0001 from 0.0069. CONCLUSION: Three numerical examples and an application in medical diagnosis are provided to demonstrate adequately that, on the one hand, our proposed method is feasible and efficient; on the other hand, our proposed method can reduce uncertainty caused by people's subjective cognition and raise the choice decision level with the best performance.

摘要

目的:近年来,基于模糊软集的决策越来越受到关注。尽管已经开展了大量工作,但这些工作无法提供其结果的不确定性或确定性。管理不确定性是决策中最重要且最具挑战性的任务之一,尤其是在医学领域。在本研究中,我们提高了基于模糊软集决策中降低不确定性和提升选择决策水平的性能。 方法与材料:我们利用两种合适的工具(模糊测度和证据的Dempster-Shafer理论)来改进基于模糊软集的决策。我们提出的方法包括三个步骤:首先,通过模糊测度获得每个参数的不确定度;其次,根据第一步获得的每个参数的不确定度构建关于每个参数(或证据)的合适基本概率分配;最后,应用经典的Dempster组合规则将独立证据聚合为集体证据,据此对候选方案进行排序并获得最佳方案。 结果:我们将所提方法的结果与近期相关工作进行了比较。通过采用我们提出的方法,在示例5中,不确定性的信任度从0.0751降至0.0051;在示例6中,不确定性的信任度从0.0547降至0.0086;在示例7中,不确定性的信任度从0.1647降至0.0847;在应用中,不确定性的信任度从0.0069降至0.0001。 结论:提供了三个数值示例以及在医学诊断中的一个应用,充分证明了一方面我们提出的方法是可行且高效的;另一方面,我们提出的方法可以减少由人们主观认知引起的不确定性,并以最佳性能提升选择决策水平。

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[3]
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[5]
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[6]
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[7]
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