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(xué)
講座時(shí)間:2019年5月21日16:00
講座地點(diǎn):數(shù)學(xué)院大會(huì)議室341
主辦單位:煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)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(xué)數(shù)學(xué)與統(tǒng)計(jì)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(guó)海洋大學(xué),,2011年碩士畢業(yè)于中國(guó)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?yàn)槟:負(fù)鋵W(xué)和模糊凸空間理論,。主持國(guó)家級(jí)和省部級(jí)項(xiàng)目3項(xiàng),發(fā)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,F(xiàn)ilomat,Journal of Intelligent and Fuzzy Systems, Iranian Journal of Fuzzy Systems等多個(gè)SCI期刊共發(fā)表學(xué)術(shù)論文30余篇,。