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A modified method of generating Z-number based on OWA weights and maximum entropy

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Abstract

How to generate Z-number is an important and open issue in the uncertain information processing of Z-number. In Kang et al. (Int J Intell Syst 33(8):1745–1755, 2018), a method of generating Z-number using OWA weight and maximum entropy is investigated. However, the meaning of the method in Kang et al. (2018) is not clear enough according to the definition of Z-number. Inspired by the methodology in Kang et al. (2018), we modify the method of determining Z-number based on OWA weights and maximum entropy, which is more clear about the meaning of Z-number. In addition, the model of generating Z-number under the environment of group decision making is well investigated based the modified model. Some numerical examples are used to illustrate the effectiveness of the proposed methodology.

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Acknowledgements

The work is partially supported by the Fund of the National Natural Science Foundation of China (Grant No. 61903307), the Startup Fund from Northwest A&F University (Grant No. 2452018066) and the Natural Science Basic Research Plan in Shaanxi Province of China (Grant No. 2019JQ-539). We also thank the anonymous reviewers for their valuable suggestions and comments.

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  1. College of Information Engineering, Northwest A&F University, Yangling, 712100, Shaanxi, China

    Ye Tian & Bingyi Kang

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  1. Ye Tian
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Correspondence to Bingyi Kang.

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Tian, Y., Kang, B. A modified method of generating Z-number based on OWA weights and maximum entropy. Soft Comput 24, 15841–15852 (2020). https://doi.org/10.1007/s00500-020-04914-8

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