Why is There a Need for Uncertainty Theory

By Baoding Liu. 2012

477 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/2566f15ec475b6836f13cce003047c936f4ac1a9

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Citations in the corpus

Uncertain Programming Model for Chinese Postman Problem with Uncertain Weights (2012, background): “Liu (2012) said that “when the sample size is too small (even no-sample) to estimate a probability distribution, we have to invite some domain experts to evaluate their belief degree that each event will occur.”
Liu process and uncertain calculus (2013, background): “However, Liu [7] pointed out that the sample size is often too small (even no sample) in practice and the degree of belief usually has much larger variance than the long-run frequency.”
Uncertain programming model for uncertain optimal assignment problem (2013, background): “Liu [25] said that “when the sample size is too small (even no-sample) to estimate a probability distribution, we have to invite some domain experts to evaluate their belief degree that each event will occur.”
Toward uncertain finance theory (2013, background): “However, Liu [1] declared that it is inappropriate because both probability theory and fuzzy set theory may lead to counterintuitive results in this case.”
Extreme values and integral of solution of uncertain differential equation (2013, background): “An extreme counterexample was proposed by Liu [2].”
Method of moments for estimating uncertainty distributions (2014, result): “However, the examples [2] tell us that it is inappropriate because probability theory and fuzzy set theory may lead to counterintuitive results in this case.”
Uncertain differential games with application to capitalism (2013, background): “Perhaps some people would like to regard the belief degree as subjective probability or fuzzy concept, but it is usually inappropriate because both probability theory and fuzzy set theory may lead to counter-intuitive results in this case (see [15]).”
B-Spline Method of Uncertain Statistics with Applications to Estimate Travel Distance (2012, background): “For details of these contents, please see Liu [16].”