The 10th International Conference on Fuzzy Systems and Data Mining (FSDM 2024)

Abstract: In this talk, we present fuzzy differential equations (FDE) in the setting of normed spaces by introducing new definitions and extending the H-differentiability to normed spaces. This concept stands on the expansion of the class of differentiable fuzzy mappings and, for this, the lateral Hukuhara derivatives should be propounded. We will see that both derivatives are different and they lead us to different solutions from a FDE. Some illustrative examples are also given and some comparisons with other methods for solving FDE are made.

Biography: Ali Farajzadeh is Full Professor with Chair in the department of mathematics at the University of Razi. His research focuses on optimization theory and fuzzy mathematics. Other his current research interests include Partial Differential Equations, Machine Learning and Data Science. He has been published extensively as author and co-author of over 130 papers in highly regarded, peer-reviewed journals and has been selected as a top researcher in his universities several times. He frequently speaks at international conferences and has chaired the scientific committee of several workshops and international conferences. He is also referee and member of Editorial Boards of several journals. He is Visiting Professor at Hosei University, Naresuan University, Anadolu University and Manas. He has supervised more than 50 Master and PhD theses of national and international students.