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龙山数学论坛系列报告21: Triangular norms on partially ordered sets

发布日期:2026/05/26    点击:

报告题目Triangular norms on partially ordered sets

苏勇,苏州科技大学

邀 请 人宗雯雯

报告时间2026年05月28日(星期四)14:30-15:30


报告地点7JC214


报告摘要:In this presentation, we extend the additively generated triangular norms from the framework of the unit interval to that of partially ordered sets. We present several conditions under which this formula 𝜓 𝑇(𝜑𝑥, 𝜑𝑦) yields a t-norm, where P, Q, are partially ordered sets, 𝜑∶ 𝑃𝑄 and 𝜓∶ 𝑄𝑃are monotone functions and 𝑇 is a t-norm/t-conorm on Q and show that the partially ordered semigroups induced by 𝜓 𝑇(𝜑𝑥, 𝜑𝑦) are order-preserving/order-reversing homomorphic to semigroup deformations of the semigroup induced by 𝑇.


报告人简介苏勇,苏州科技大学成人论坛 教授,江苏省“青蓝工程”中青年学术带头人,中国逻辑学会理事、中国系统工程学会模糊数学与模糊系统专委会委员、中国逻辑学会非经典逻辑与计算专委会常务理事。研究方向:不确定性原理、非经典数理逻辑与信息聚合函数。在逻辑联结词及信息聚合领域取得系列进展,于Mathematical Logic Quarterly、Logic Journal of the IGPL、Semigroup Forum、IEEE Trans Fuzzy Syst、Fuzzy Sets Syst、Int J Approx Reason发表学术论文60余篇。目前主持国家自然科学基金面上项目1项、江苏省“青蓝工程”人才培养项目1项,完成国家及省部级自然科学基金项目3项。




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