Title of the Report: On the research progress of mathematical fuzzy logics

Presenter:Zhou Hongjun

Affiliation:Shaanxi Normal University

Date of the Report: July 14, 2024 (Sunday), 9:30-10:15 AM

Location of the Report: Lecture Hall on the Second Floor, Block A, Feicui Science and Education Building

Abstract:In this talk, we will first provide an overview of the centenary developments of mathematical fuzzy logic from several perspectives, including three development stages, three research levels, three axiomatic methods, three logical languages, and some applications. Then we list some new research directions of mathematical fuzzy logics such as weakly implicative logics, subresiduated logics, quantum B-algebras, importation algebras, and residuated limonoids. Finally, we will report some of our works on solving and applications of the laws of importation and migrativity between fuzzy logical connectives towards establishing new types of mathematical fuzzy logic.

Biography of the Presenter:Zhou Hongjun, professor at the School of Mathematics and Statistics, Shaanxi Normal University, PhD supervisor, leader of the Shaanxi Province Sanqin Talent Special Support Plan for Scientific and Technological Innovation, recipient of the Shaanxi Province Outstanding Youth Fund, national-level first-class course director, head of the Shaanxi Province Ideological and Political Course Teaching Demonstration and Teaching Team. He serves as a director of the Chinese Mathematical Society, executive director of the Shaanxi Provincial Mathematical Society, secretary-general of the Fuzzy Mathematics and Fuzzy Systems Committee of the Chinese System Engineering Society, vice-chairman and secretary-general of the Non-Classical Logic and Computing Committee of the Chinese Logic Society, etc. His main research areas include ordered algebras and logic, mathematical theories of uncertainty, etc. He has published two monographs with the Science Press and over 60 papers in journals such as "Ann. Pure Appl. Logic", "Arch. Math. Logic", "J. Mult.-Valued Logic & Soft Comput.", "IEEE Trans. Fuzzy Syst.", "Fuzzy Sets Syst.", "Intern. J. Approx. Reason.", "Inform. Sci.", "Science in China", and "Acta Mathematica Sinica". He has led four National Natural Science Foundation projects, and five provincial and ministerial-level projects, including the Ministry of Education PhD Fund, the Chinese Association for Science and Technology Academic Style Inheritance Project, the Shaanxi Province Outstanding Youth Fund, and the Shaanxi Province Young Scientists Program; he has also led three provincial-level educational reform projects. He has received the second prize of the Shaanxi Province Natural Sciences Award (1/3), the first prize of the Shaanxi Colleges Science and Technology Achievement Award (1/4), the second prize of the Shaanxi Province Higher Education Teaching Achievement Award (3/5), the special prize of the Teaching Achievement Award of Shaanxi Normal University (2/10), and the first prize of the Seventh Red Candle Cup Teaching Innovation Competition of Shaanxi Normal University.