报告题目：Hull operators and interval operators in (L,M)-fuzzy convex spaces

报告人：庞斌 北京理工大学

报告摘要：Convexity exists in many mathematical structures. By abstracting some basic properties of convex sets, (axiomatic, abstract) convex structures have been proposed and have been studied in the framework of topology, algebra, order and so on. With the development of fuzzy set theory, different types of fuzzy convex structures have been introduced, including L-convex structures, M-fuzzifying convex structures and (L,M)-fuzzy convex structures. In this talk, we mainly introduce the development of the theory of fuzzy convex spaces. In particular, we will propose the concepts of (L,M)-fuzzy (restricted) hull operators and (L,M)-fuzzy interval operators, and establish their relationships with (L,M)-fuzzy convex structures from a categorical aspect. By means of these new research results, we aim to provide a common framework for the research on fuzzy convexity theory.

报告人简介：庞斌，北京理工大学伟德国际1946源自英国特别副研究员，博士生导师。2008年本科毕业于中国海洋大学，2011年硕士毕业于中国海洋大学，2015年博士毕业于北京理工大学，2015年—2017年在哈尔滨工业大学（深圳）从事博士后研究。研究方向为模糊拓扑学、模糊凸空间理论和粗糙集理论。主持国家级和省部级项目3项，发表ESI高被引论文6篇，在Fuzzy Sets and Systems，IEEE Transactions on Fuzzy Systems, Information Sciences，International Journal of Approximate Reasoning，Soft Computing，Filomat，Journal of Intelligent and Fuzzy Systems, Iranian Journal of Fuzzy Systems等多个SCI期刊共发表学术论文30余篇。

报告邀请人：吴家超    

报告时间：2019年9月6日(周五)15:00-16:00

报告地点：长清湖校区文渊楼A区334

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