Overview
Complex, Hypercomplex, and Fuzzy-valued Neural Networks are extensions of classical neural networks to higher dimensions. In recent decades, this theory has emerged as a forefront in neural networks theory. There are several approaches to extend classical neural network models: quaternionic analysis, which merely uses quaternions; Clifford analysis, which relies on Clifford algebras; and finally generalizations of complex variables to higher dimensions. This book reflects a selection of papers related to complex, hypercomplex analysis, and fuzzy approaches applied to neural networks theory. The topics covered represent new perspectives and current trends in neural networks and their applications to mathematical physics, image analysis and processing, mechanics, and beyond.
Full Product Details
Author: Agnieszka Niemczynowicz ,
Irina Perfilieva ,
Lluís M. Garcia Raffi ,
Radosław Kycia
Publisher: Taylor & Francis Ltd
Imprint: Routledge
Weight: 0.453kg
ISBN: 9781032847146
ISBN 10: 103284714
Pages: 144
Publication Date: 23 October 2025
Audience:
College/higher education
,
Professional and scholarly
,
Tertiary & Higher Education
,
Professional & Vocational
Format: Hardback
Publisher's Status: Forthcoming
Availability: Not yet available
This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release.
Author Information
Agnieszka Niemczynowicz, PhD, is an Associate Professor at Cracow University of Technology. Her work focuses on mathematical modeling, data analysis, and machine learning, applied across science and engineering. She has published ~50 articles, led international grants, and received the 2022 Doak Award for a top paper in the Journal of Sound and Vibration.racow University of Technology, Poland Irina Perfilieva, Ph.D., Dr.h.c., is an author and co-author of seven books on mathematical principles of fuzzy sets and fuzzy logic, and more than 270 papers in the area of fuzzy logic, fuzzy approximation and fuzzy relation equations. She has received several awards, including an IFSA fellow and an honorary member of EUSFLAT. Her recent interests are in the area of data analysis and the mathematical foundation of neural networks. Dr. Luis M. Garcia Raffi is a full professor in Applied Mathematics at Universitat Politècnica de València, with PhDs in Physics and Mathematics. His research spans Physics (Nuclear Physics, Phononics), Mathematics (Analysis, Topology, Machine Learning), and Didactics. He has authored several articles, collaborated internationally, and teaches AI-related topics. Radosław Antoni Kycia holds PhDs in Physics (Jagiellonian University) and Geometry, Topology and Geometric Analysis (Masaryk University). He is an Associate Professor at Cracow University of Technology. His research focuses on quantum systems, topology, and machine learning. He has published over 40 articles and participated in national and EU-funded scientific projects.
