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学术报告-L-fuzzifying convex structures as L-convex structures
作者:     日期:2021-01-04     来源:     阅读:

讲座主题:L-fuzzifying convex structures as L-convex structures

主讲人: 庞斌

工作单位:北京理工大学

活动时间:2020年1月8日 15:00-15:50

讲座地点:腾讯会议:215 139 372

主办单位:vnsc威尼斯城官网登入数学与信息科学学院

内容摘要:

Convexity exists in many mathematical structures. By abstracting some basic properties of convex sets, (axiomatic, abstract) convex structures have been proposedand have been studied inthe framework of topology, algebra, order and so on.With the development of fuzzy set theory, different types of fuzzy convex structures have been introduced, includingL-convex structures, M-fuzzifying convex structures and(L,M)-fuzzy convex structures.This motivates us to consider the relationships between different types of fuzzy convex structures. This talk aims to establish the relationships between L-convex structures and L-fuzzifying convex structures from a categorical aspect.

In thistalk,the concepts of fuzzifying L-hull spaces and fuzzifyingL-convex spaces are introduced and the resulting categories are shown to be isomorphic to that of L-fuzzifying convex spaces. As applications of these concepts,it is shown that the category of L-fuzzifying convex spaces can be embedded inthe category of L-convex spaces as a simultaneously bireflective and bicoreflectivesubcategory.

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。主持国家自然科学基金2项,省部级项目2项,发表ESI高被引论文7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40余篇。