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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Format: | Article |
Language: | English |
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Springer Berlin Heidelberg
2018
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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 |
first_indexed | 2024-09-23T12:34:21Z |
format | Article |
id | mit-1721.1/115835 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T12:34:21Z |
publishDate | 2018 |
publisher | Springer Berlin Heidelberg |
record_format | dspace |
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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