講座主題：L-fuzzifying convex structures as L-convex structures
主講人： 龐斌
工作單位：北京理工大學(xué)
活動時間：2021年1月8日 15：00-15：50
講座地點：騰訊會議：215 139 372
主辦單位：煙臺大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)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(xué)數(shù)學(xué)與統(tǒng)計學(xué)院特別副研究員，博士生導(dǎo)師。2008年本科畢業(yè)于中國海洋大學(xué)，2011年碩士畢業(yè)于中國海洋大學(xué)，2015年博士畢業(yè)于北京理工大學(xué)，2015年—2017年在哈爾濱工業(yè)大學(xué)（深圳）從事博士后研究。研究方向為模糊拓?fù)鋵W(xué)和模糊凸空間理論。主持國家自然科學(xué)基金2項，省部級項目2項，發(fā)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，F(xiàn)ilomat，Journal of Intelligent and Fuzzy Systems, Iranian Journal of Fuzzy Systems等多個SCI期刊共發(fā)表學(xué)術(shù)論文40余篇。
