A Modified D Numbers’ Integration for Multiple Attributes Decision Making

For multiple attributes decision making, D numbers theory has been widely used to deal with uncertain and incomplete information. However, the incomplete information is abandoned in the D numbers’ integration representation. This results in unreasonable conclusions in some real-world applications. T...

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Main Authors: Wang, Ningkui, Liu, Xianming, Wei, Daijun
Other Authors: Massachusetts Institute of Technology. Laboratory for Nuclear Science
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2018
Online Access:http://hdl.handle.net/1721.1/115835
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author Wang, Ningkui
Liu, Xianming
Wei, Daijun
author2 Massachusetts Institute of Technology. Laboratory for Nuclear Science
author_facet Massachusetts Institute of Technology. Laboratory for Nuclear Science
Wang, Ningkui
Liu, Xianming
Wei, Daijun
author_sort Wang, Ningkui
collection MIT
description For multiple attributes decision making, D numbers theory has been widely used to deal with uncertain and incomplete information. However, the incomplete information is abandoned in the D numbers’ integration representation. This results in unreasonable conclusions in some real-world applications. To overcome this drawback, this paper proposes an improved D numbers’ integration representation method, by effectively allocating the incomplete information into decision making according to the original value of D numbers. The proposed method is applied to assess the performance of different types of motorcycles. The results show that the proposed method can effectively increase both the accuracy and efficiency of assessment when compared with the original D numbers theory. Keywords: Uncertainty, Incompleteness, MADM, D numbers theory, D numbers’ integration representation
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spelling mit-1721.1/1158352022-10-01T09:50:53Z A Modified D Numbers’ Integration for Multiple Attributes Decision Making Wang, Ningkui Liu, Xianming Wei, Daijun Massachusetts Institute of Technology. Laboratory for Nuclear Science Liu, Xianming For multiple attributes decision making, D numbers theory has been widely used to deal with uncertain and incomplete information. However, the incomplete information is abandoned in the D numbers’ integration representation. This results in unreasonable conclusions in some real-world applications. To overcome this drawback, this paper proposes an improved D numbers’ integration representation method, by effectively allocating the incomplete information into decision making according to the original value of D numbers. The proposed method is applied to assess the performance of different types of motorcycles. The results show that the proposed method can effectively increase both the accuracy and efficiency of assessment when compared with the original D numbers theory. Keywords: Uncertainty, Incompleteness, MADM, D numbers theory, D numbers’ integration representation China Scholarship Council National Natural Science Foundation (China) (Grant 61364030) National Natural Science Foundation (China) (Grant 11365008) Hubei Province (China). National Natural Science Foundation (Grant 2014CFB608) Hubei Province (China). Educational Commission (Grant D20151902) Hubei University for Nationalities (Grant MY2014b003) 2018-05-23T19:28:23Z 2018-05-23T19:28:23Z 2017-04 2018-02-23T04:50:31Z Article http://purl.org/eprint/type/JournalArticle 1562-2479 2199-3211 http://hdl.handle.net/1721.1/115835 Wang, Ningkui, Xianming Liu, and Daijun Wei. “A Modified D Numbers’ Integration for Multiple Attributes Decision Making.” International Journal of Fuzzy Systems, vol. 20, no. 1, Jan. 2018, pp. 104–115. en http://dx.doi.org/10.1007/s40815-017-0323-0 International Journal of Fuzzy Systems Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. Taiwan Fuzzy Systems Association and Springer-Verlag Berlin Heidelberg application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg
spellingShingle Wang, Ningkui
Liu, Xianming
Wei, Daijun
A Modified D Numbers’ Integration for Multiple Attributes Decision Making
title A Modified D Numbers’ Integration for Multiple Attributes Decision Making
title_full A Modified D Numbers’ Integration for Multiple Attributes Decision Making
title_fullStr A Modified D Numbers’ Integration for Multiple Attributes Decision Making
title_full_unstemmed A Modified D Numbers’ Integration for Multiple Attributes Decision Making
title_short A Modified D Numbers’ Integration for Multiple Attributes Decision Making
title_sort modified d numbers integration for multiple attributes decision making
url http://hdl.handle.net/1721.1/115835
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