講座主題：Applications of implication operations in mappings between fuzzy topological spaces
主講人：龐斌
工作單位：北京理工大學
講座時間：2019年5月21日16:00
講座地點：數學院大會議室341
主辦單位：煙臺大學數學與信息科學學院
內容摘要：
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.
主講人介紹：
龐斌，北京理工大學數學與統計學院特別副研究員，博士生導師。2008年本科畢業于中國海洋大學，2011年碩士畢業于中國海洋大學，2015年博士畢業于北京理工大學，2015年—2017年在哈爾濱工業大學（深圳）從事博士后研究。研究方向為模糊拓撲學和模糊凸空間理論。主持國家級和省部級項目3項，發表ESI高被引論文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等多個SCI期刊共發表學術論文30余篇。
