讲座主题：Applications of implication operations in mappings between fuzzy topological spaces

主讲人：庞斌

工作单位：北京理工大学

讲座时间：2019年5月21日16:00

讲座地点：数学院大会议室341

主办单位：烟台大学数学与信息科学学院

内容摘要：

With the development of fuzzy set theory, different types of fuzzy topological spaces have been introduced, including L-topological spaces, M-fuzzifying topological spaces and (L,M)-fuzzy topological spaces.

In this talk, we mainly introduce the development of the theory of fuzzy topological spaces. In particular, we will apply the implication operations to mappings between M-fuzzifying topological spaces. In this sense, we will equip each mapping between M-fuzzifying topological spaces with some degrees to become a continuous mapping, an open mapping and a quotient mapping. Then we will give the degree representations to the basic properties of these concept. In this way, we provide a degree approach to M-fuzzifying topological spaces.

主讲人介绍：

庞斌，北京理工大学数学与统计学院特别副研究员，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和模糊凸空间理论。主持国家级和省部级项目3项，发表ESI高被引论文3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。