Title: Uncertainty: Remarkable theories and their relations

Report Abstract:
The presentation attempts to provide a brief overview on some remarkable theories that are popularly employed in studying uncertainty, including 

      Choquet capacity and integral, 

      Dempster-Shafer Theory of Evidence/Belief function,

      Liu uncertainty theory, and

      Deng-Liu Grey system theory.
The content of this talk will be three fold:
1) Capacities: basic concepts, e.g. games, significant methods, e.g.  Mobius transform, and Choquet integral,
2)  k-alternating capacities and k-monotone capacities, and
3)  Relations between these theories.

Speaker: WEI Guo

Date/Time: 9:00 – 10:00PM, July 10, 2019

Location: Room 704, College of Economics and Management Building, Jiangjun Rd. Campus
Speaker Biography:

WEI Guo, who studied topology at the Northwestern University and was a student of mathematician Wang Yutang. He obtained a master's degree in mathematics in 1988. He then obtained a master's degree in statistics from the University of Texas at El Paso in 1995. He received his Ph.D. in probability and statistics and a master's degree in computer science from New Mexico State University. His tutor is a Professor Hung T Nguyen, a renowned expert in uncertainty theory. His research interests include topology, dynamic systems, probability statistics, social sciences, environmental management, economics, and public health applications. He has published more than 60 research papers.

He has led or participated in projects such as the US Department of Health (HRSA, DHHS), the Institute of Health (NIH), the Defense Intelligence Agency (DIA), and the Natural Science Foundation of China (NSFC), among which, the US Department of Health project (maternal and child health, reducing infant mortality and morbidity, 2000-present) has long-term support from the US Department of Health.

Currently, Professor Wei Guo is an academic tenure in the Department of Mathematics and Computer Science at the University of North Carolina at Pembroke.