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Uncertainty distribution and independence of uncertain processes

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Abstract

Uncertain process is a sequence of uncertain variables indexed by time. This paper presents a concept of uncertainty distribution for describing uncertain process. Some sufficient and necessary conditions are also proved for uncertainty distribution and inverse uncertainty distribution of uncertain process. Finally, this paper proposes an independence definition of uncertain processes and shows some mathematical properties of it.

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Acknowledgments

This work was supported by National Natural Science Foundation of China Grants No. 61273044 and No. 91224008.

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Correspondence to Baoding Liu.

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Liu, B. Uncertainty distribution and independence of uncertain processes. Fuzzy Optim Decis Making 13, 259–271 (2014). https://doi.org/10.1007/s10700-014-9181-5

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  • DOI: https://doi.org/10.1007/s10700-014-9181-5

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