报告题目：Uninorms and their extension

报告时间：2018年9月11日(周二)  15:30

报告地点：7JC306

主讲人：刘华文教授

摘要：

In this talk, we first show an extension of uninorms called semi-uninorms, talk about the residual operators of semi-uninorms and the induced semi-uninorms by implications on a complete lattice. Then, we talk about the distributivity and conditional distributivity of semi-uninorms and continuous t-conorms, which closely relates an open problem recalled by Klement in the Linz2000 closing session. Furthermore, by weakening the neutral element condition of semi-uninorms, we introduce weak-neutral semiuninorms (shortly, wn-semiuninorms). After analyzing their structure, several classes of wn-semiuninorms are presented. Particularly, based on a kind of monotone unary functions which are not necessarily continuous and strictly monotone, we introduce representable wn-semiuninorms. We show that there is no idempotent proper wn-semiuninorm. Each representable wn-semiuninorm is Archimidean but not strictly monotone, and its additive generator is unique up to a positive multiplicative constant under some conditions.

主讲人简介：

刘华文,山东大学数学学院教授，博士生导师，控制与系统科学研究所所长。近几年致力于不确定性推理、非经典数理逻辑与模糊系统分析的研究工作，主持国家及省部级自然科学基金项目7项,共发表学术论文100余篇，其中单篇最高SCI他引330次。曾被聘为“全国优秀博士学位论文评选”通讯评议评审专家和教育部学位中心“学科评估”专家。主要学术兼职有中国计算机学会多值逻辑与模糊逻辑专委会委员，中国系统工程学会模糊数学与模糊系统委员会(国际模糊系统协会中国分会)常务理事，美国数学评论评论员，中国人工智能学会人工智能基础委员会委员，中国逻辑学会非经典逻辑与计算专委会常务委员。

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