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A New Soft Likelihood Function Based on D Numbers in Handling Uncertain Information

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Abstract

How to effectively deal with uncertain information has traditionally been a concern. The D numbers theory overcomes the limitations of Dempster–Shafer theory and further strengthens the ability of uncertainty modeling. Recently, Yager et al. proposed a soft likelihood function which can effectively combine probability information. Related research has enriched and expanded its connotation, but there are still problems to be solved. This paper conducted further research and proposed a new soft likelihood function based on D numbers. Comparison and discussion illustrate the rationality and superiority 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), and the Startup Fund from Northwest A&F University (Grant No. 2452018066). 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, Xiangjun Mi, Lili Liu & Bingyi Kang

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  1. Ye Tian
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  2. Xiangjun Mi
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  3. Lili Liu
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Correspondence to Bingyi Kang.

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Tian, Y., Mi, X., Liu, L. et al. A New Soft Likelihood Function Based on D Numbers in Handling Uncertain Information. Int. J. Fuzzy Syst. 22, 2333–2349 (2020). https://doi.org/10.1007/s40815-020-00911-z

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