A normally distributed fuzzy variable is defined by a unimodal and symmetric membership function, and is proved to be the most uncertain one when expected value and variance are given. In this note, a lognormally distributed fuzzy variable is defined and the membership function, expected value and variance of this variable are discussed. Based on these results, some properties about geometric L...

Uncertainty inherent in the financial market was usually consid- ered to be random. However, randomness is only one special type of uncer- tainty and appropriate when describing objective information. For describing subjective information it is preferred to assume that uncertainty is fuzzy. This paper defines the expected payoof trading strategies in a fuzzy financial market within the framewor...

1 Department of Pharmacy, Xuzhou Medical College, 84 West Huaihai Road, Xuzhou, 221002, Jiangsu, China 2 Jiangsu Province Key Laboratory of Anesthesiology, Xuzhou Medical College, 84 West Huaihai Road, Xuzhou, Jiangsu 221002, China 3 Environment Protection Research Institute of Xuzhou, Xuzhou, Jiangsu Province, China 4 Department of Anesthesia, Xuzhou Medical College, 84 West Huaihai Road, Xuzh...

Graphical Abstract “My biggest goal is to develop intelligent nanorobots with remote control for noninvasive surgical operations … My favorite thing about my lab group its free and cooperative atmosphere …” Find out more Ying Liu in her Introducing Profile.

The Liu estimator has consistently been demonstrated to be an attractive shrinkage method for reducing the effects of multicollinearity. The Poisson regression model is a well-known model in applications when the response variable consists of count data. However, it is known that multicollinearity negatively affects the variance of the maximum likelihood estimator (MLE) of the Poisson regressio...

Liu process is an uncertain process with stationary and independent increments. Multi-dimensional uncertain differential equation is a type of differential equation driven by multi-dimensional Liu process to model a multidimensional dynamic system. This paper aims at proposing a definition of stability in mean for multi-dimensional uncertain differential equations. Then a stability theorem for ...