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关于举办史福贵教授学术报告的通知
2023-11-20 17:30  

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应我校太阳集团tyc5997和科研处邀请,北京理工大学史福贵教授将于11月21日在太阳集团tyc5997442会议室为我校师生做学术报告,欢迎广大师生参加!报告的具体安排如下:

报告时间:2023年11月21日(周二)16:00-17:00

报告地点:太阳集团tyc5997442会议室

报告主题:On convex MV-algebras

报 告 人:史福贵教授(北京理工大学)

报告摘要:The aim of this report is to introduce convex structures on MV-algebras such that the MV-operations are convexity preserving or weak convexity preserving. Therefore, we propose the concepts of paraconvex MV-algebras and weak convex MV-algebras. We give some characterizations of weak convex MV-algebras. Further, we show that the standard MV-algebra endowed with its interval convexity is a weak convex MV-algebra. In particular, a finite MV-chain endowed with a non-trivial convex structure is a weak convex MV-algebra iff the convex structure is precisely its interval convexity. Moreover, the direct product of finite weak convex MV-algebras is still a weak convex MV-algebra. Based on this, we further get that each finite MV-algebra endowed with its interval convexity is a weak convex MV-algebra. By using ideals, we introduce the ideal convexity on an MV-algebra which turns it to be a paraconvex MV-algebra. Finally, we discuss the separation axioms on weak convex MV-algebras.

报告人简介:史福贵,北京理工大学数学与统计学院二级教授,博士生导师,主要从事模糊集理论,模糊拓扑,模糊拟阵,模糊凸空间等的研究,发表论文200余篇,主持国家自然科学基金四项和教育部博士点基金一项。现任中国系统工程学会模糊数学与模糊系统委员会副理事长,北京运筹学会副理事长,北京数学会副监事长,中国运筹学会理事;《Iranian Journal of Fuzzy Systems》和《Mathematics》等杂志编委。

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太阳集团tyc5997

科研处

2023年11月21日

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