Speaker: Dr. Chuang Zheng (郑创博士)

Time: 12:30-13:00, 27 May 2021 (Thursday) (Beijing time)

Venue: C304, Lijiao Building, BNU at Zhuhai

Abstract

We define a class of fuzzy numbers which is uniquely identified by their membership functions. The function space will be constructed by combining a nonlinear mapping from [0,1] to and a class of probability density functions p from to [0,1]. Under our assumptions, we prove that there always exists a nonlinear mapping to fulfill the observed outcome.

As an example, we define the operational laws in the function space when the probability density function is given by the Gaussian kernel.

Especially, the common L-R number can be interpreted by and the addition can be seen as the operation on the expectation of the probability density function.

One numerical example is provided to illustrate the proposed approach.

About Dr. Zheng

Chuang Zheng was born in Sichuan, China in 1982. He received the Ph.D in applied mathematics from Universidad Autonoma de Madrid, Madrid, Spain in 2008. He is an Associate Professor in the School of Mathematical Sciences, Beijing Normal University, Beijing, China. His current research interests and publications are in the areas of control theory for distributed parameter systems, optimal control, Schrodinger Equations, numerical method of controls, automatic control, fuzzy systems and controls.