管科学术论坛（2018年第18期）

报告题目：Wei-Shu-Wu: The mathematics of the Three Kingdoms

报告时间：2018年11月18日下午14:30

报告地点：燕山校区逸夫楼621

报告人：Bernard De Baets

报告简介：

Reciprocal relations are an interesting generalization of complete relations covering both an important class of preference relations studied in fuzzy set theory, as well as the class of winning probability relations studied in probability theory. Due to their intrinsic nature, reciprocal relations that are not weakly transitive can be considered to be cyclic. Most attention so far has gone to cycles of lengths three, using the metaphor of the Rock-Paper-Scissors children game, triggered by evidence from nature and society. Chinese scholars like to draw some parallels with the Three Kingdoms era in Imperial Chinese history.

In this lecture, I will focus on winning probability relations associated with random vectors and point out the link with the underlying dependence structure. Interesting prototypical settings, such as dice games, mutual rank probability relations and graded stochastic dominance, will be discussed.

I will also initiate the study of cycles of length four, introducing the Rock-Paper-Scissors-Lizard metaphor. Although the picture is still incomplete, it already offers some interesting insights.

报告人简介：

Bernard De Baets is a senior full professor in applied mathematics at the Faculty of Bioscience Engineering (Shanghai rank 37 in Life and Agriculture Sciences) of Ghent University, the top-ranked Belgian university (Shanghai rank 61). He is leading the research unit KERMIT and acts as head of the Department of Data Analysis and Mathematical Modelling. Furthermore, he is an affiliated professor at the Anton de Kom Universiteit (Suriname), an Honorary Professor of Budapest Tech (Hungary), a Doctor Honoris Causa of the University of Turku (Finland) and a Profesor Invitado of the Universidad Central “Marta Abreu” de las Villas (Cuba).

As a trained mathematician, computer scientist and knowledge engineer, Bernard has developed a passion for multi- and interdisciplinary research. He is not only deeply involved in fundamental research in three interlaced research threads, namely knowledge-based, predictive and spatio-temporal modelling, but he also aims at innovative applications in the applied biological sciences. At present, over 30 researchers are involved in the activities of KERMIT. Over the past 20 years, 67 PhD students have graduated under his (co-)supervision.

Bernard is a prolific writer, with a bibliography comprising close to 500 peer-reviewed journal papers, 60 book chapters and 300 contributions to conference proceedings, accumulating over 18000 Google Scholar citations (h-index 67). Several of his works have been bestowed upon with a best paper award. Moreover, he is a much-invited speaker, having delivered over 250 lectures world-wide. In 2011, he was elected Fellow of IFSA (International Fuzzy Systems Association) and in 2012, he was a nominee for the Ghent University Prometheus Award for Research.

Bernard actively serves the research community, in particular as co-editor-in-chief of Fuzzy Sets and Systems and as member of the editorial board of several other journals, including the Internat. J. of Approximate Reasoning, Engineering Applications of Artificial Intelligence, and the Iranian J. of Fuzzy Systems. He is a member of the Administrative Board of the Belgian OR Society.