A relation between moments of Liu process and Bernoulli numbers

FUZZY OPTIMIZATION AND DECISION MAKING（2020）

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摘要

This paper finds a relation between moments of Liu process and Bernoulli numbers. Firstly, by an exponential generating function of Bernoulli numbers, a useful integral formula is obtained. Secondly, based on this integral formula, the moments of a normal uncertain variable and Liu process are expressed via Bernoulli numbers.

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关键词

Uncertainty theory, Liu process, Bernoulli numbers, Inverse uncertainty distribution

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