Abstract
Probability measure, possibility measure and uncertain measure can effectively deal with random phenomenons, fuzzy phenomenons, uncertainty phenomenons in real-world correspondingly. In order to establish a unified tool to handle random phenomenons, fuzzy phenomenons and uncertainty phenomenons, pan-uncertain measure is defined by normality, pan duality, pan subadditivity. Then, corresponding pan-uncertain product measure and pan-uncertainty space are given. In the end, pan-uncertain variable and pan-uncertain distribution are defined and discussed on pan-uncertain space.
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Acknowledgments
This work is supported by the National Natural Science Foundation of China (No.61073121), the Natural Science Foundation of Hebei Province of China (No.F2015402033).
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Wang, C., Ha, M., Liu, X. (2016). Pan-uncertain Measure. In: Cao, BY., Wang, PZ., Liu, ZL., Zhong, YB. (eds) International Conference on Oriental Thinking and Fuzzy Logic. Advances in Intelligent Systems and Computing, vol 443. Springer, Cham. https://doi.org/10.1007/978-3-319-30874-6_10
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DOI: https://doi.org/10.1007/978-3-319-30874-6_10
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