1. 报告题目:有界格上的uni-nullnorms (Uni-nullnorms on bounded lattices)
报告人:王学平教授
报告时间:2026年11月8日 16:00-17:00
报告地点:足球吧
301会议室
报告摘要:In this talk, we study uni-nullnorms with both neutral elements and zero elements on bounded lattices. In order to illustrate the existence of uni-nullnorms on bounded lattices, we present two construction methods for obtaining such a uni-nullnorm. Also, we show two additional methods for the construction of idempotent nullnorms on bounded lattices, which are generalizations of the one proposed by Çaylı and Karaçal. Furthermore, we discuss the presence of idempotent uni-nullnorms on bounded lattices, and propose two construction methods to obtain an idempotent uni-nullnorm on any bounded lattice.
个人简介:王学平,四川师范大学足球吧
教授,博士生导师,第十一批四川省学术和技术带头人。现为美国《数学评论》与德国《数学文摘》评论员、《模糊系统与数学》编委会副主任、中国系统工程学会模糊系统与数学委员会常务理事、中国逻辑学会非经典逻辑与计算专业委员会常务理事。主要从事格理论及其应用、不确定性的数学理论、半环理论及其应用、max-plus代数上线性代数理论与聚合算子理论等的研究。已在《中国科学》、《数学学报》、《SCIENCE CHINA Mathematic》、《ACTA MATHEMATICA SINICA-ENGLISH SERIES》、《Algebra Universalis》、《Linear Algebra and Its Applications》、《Studia Logica》、《Rocky Mountain Journal of Mathematics》、《IEEE Transactions on Fuzzy Systems》等国内外重要学术刊物上发表论文60余篇。已主持国家自然科学基金面上项目4项。2000年获四川省优秀教学成果奖一等奖,2004年与2009年分别获四川省科技进步奖三等奖各一项。
2. 报告题目:有限格上的三角模 (Triangular norms on a finite lattice)
报告人:何鹏教授
报告时间:2026年11月8日 17:00-18:00
报告地点:足球吧
301会议室
报告摘要:This talk intends to characterize triangular norms on a finite lattice. We first give a method for generating a triangular norm on a complete atomistic lattice by atoms. Then we prove that every triangular norm on a non-Boolean atomistic lattice is not left-continuous and TM is the unique left-continuous triangular norm on an atomistic Boolean lattice. Furthermore, we show that each atomistic Boolean lattice can be represented by a family of triangular norms on an atomistic lattice with the same number of atoms. Finally, we construct a triangular norm on a finite lattice by restricting a triangular norm on an extended atomistic lattice of the finite lattice to the finite lattice.
个人简介:何鹏,四川师范大学教授,硕士生导师。主要从事格理论及其应用与聚合算子等的研究。已在《Acta Mathematica Sinica-English Series》、《Algebra Universalis》、《Fuzzy Sets and Systems》、《Studia Logica》、《Rocky Mountain Journal of Mathematics》等国内外重要学术刊物上发表论文20余篇。已主持国家自然科学基金青年项目、面上项目各一项。