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应我校理学院和科研处邀请，北京理工大学史福贵教授将于11月21日在理学院442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：理学院442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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理学院

科研处

2023年11月21日