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Tail value-at-risk in uncertain random environment

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Abstract

Chance theory is a rational tool to be used in the systems which contain not only uncertainty but also randomness. In this paper, the concept of tail value-at-risk in uncertain random risk analysis is proposed and some theorems are provided for its calculation. Moreover, the tail value-at-risk is applied as the right-tail in the parallel system, series system, standby system, k-out-of-n system and structural system.

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Funding

This work was supported by National Natural Science Foundation of China under Grant No. 61573210.

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Correspondence to Waichon Lio.

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The authors declare that there is no conflict of interest regarding the publication of this paper.

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This article does not contain any studies with human participants performed by any of the authors.

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Communicated by Y. Ni.

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Liu, Y., Ralescu, D.A., Xiao, C. et al. Tail value-at-risk in uncertain random environment. Soft Comput 24, 2495–2502 (2020). https://doi.org/10.1007/s00500-018-3492-3

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  • DOI: https://doi.org/10.1007/s00500-018-3492-3

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