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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

工作單位:北京理工大學

活动时间:2021年1月8日 15:00-15:50

讲座地点:腾讯会议:215 139 372

主辦單位:煙台大學數學與信息科學學院

內容摘要:

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)從事博士後研究。研究方向爲模糊拓撲學和模糊凸空間理論。主持國家自然科學基金2項,省部級項目2項,發表ESI高被引論文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等多個SCI期刊共發表學術論文40余篇。