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Novel multi-attribute decision-making method based on Z-number grey relational degree

  • Fuzzy systems and their mathematics
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Abstract

In practical multi-attribute decision-making, due to the complexity of decision-making environment and the fuzziness of human thinking, the fuzzy index values given by experts are not necessarily completely reliable, that is, it is more reasonable to measure the reliability degree of fuzzy index values. The Z-number proposed by Zadeh can effectively meet the requirement of describing this kind of decision information. This paper considers a kind of multi-attribute decision-making problems under the information environment of Z-numbers and proposes a new multi-attribute decision-making method based on Z-number grey relational degree (ZNGRD-MADM). Specifically, in ZNGRD-MADM, some comparative relations of Z-numbers and a new definition of generalized distance of Z-numbers are proposed firstly. Then, a new concept of Z-number grey relational degree (ZNGRD) is proposed based on the generalized distance of Z-numbers and its properties are proved. Thirdly, a new alternative ranking method is proposed based on the Z-numbers comparative relations and ZNGRD. Finally, the proposed ZNGRD-MADM method is applied to the problem of Web service selection, and its feasibility and effectiveness are verified through sensitivity analysis and comparative analysis.

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Funding

This work is supported by the National Natural Science Foundation of China (Nos. 72071150, 71671135, 71871174).

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Authors and Affiliations

  1. School of Science, Wuhan University of Technology, Wuhan, 430070, People’s Republic of China

    Ying Li, Congjun Rao & Xinping Xiao

  2. NUS Business School and The Logistics Institute-Asia Pacific, National University of Singapore, Singapore, 119623, Singapore

    Mark Goh

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  1. Ying Li
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  2. Congjun Rao
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  3. Mark Goh
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  4. Xinping Xiao
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Contributions

YL methodology, writing-original draft, software. CR conceptualization, methodology, investigation. MG project administration, supervision, formal analysis, writing-review and editing. XX conceptualization, methodology.

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Correspondence to Congjun Rao.

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Li, Y., Rao, C., Goh, M. et al. Novel multi-attribute decision-making method based on Z-number grey relational degree. Soft Comput 26, 13333–13347 (2022). https://doi.org/10.1007/s00500-022-07487-w

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