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Complex uncertain random variables

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Abstract

One can identify at least two types of inexactness: one is randomness associated with frequencies and the other is uncertainty associated with belief degrees. However, randomness and uncertainty usually exist in a complex system simultaneously. To model such complex phenomena, we present a concept of complex uncertain random variable. Then, we derive the complex chance distributions of complex uncertain random variables. Moreover, the expected value and variance of a complex uncertain random variable are also studied. Finally, we define and study the complex linear and normal uncertain random variables.

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Correspondence to Rong Gao.

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The authors declare that there is no conflict of interests 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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Gao, R., Zhang, Z., Ahmadazde, H. et al. Complex uncertain random variables. Soft Comput 22, 5817–5824 (2018). https://doi.org/10.1007/s00500-017-2717-1

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  • DOI: https://doi.org/10.1007/s00500-017-2717-1

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