Selected aspects of complex, hypercomplex and fuzzy neural networks
This short report reviews the current state of the research and methodology
on theoretical and practical aspects of Artificial Neural Networks (ANN). It
was prepared to gather state-of-the-art knowledge needed to construct complex,
hypercomplex and fuzzy neural networks.
  The report reflects the individual interests of the authors and, by now
means, cannot be treated as a comprehensive review of the ANN discipline.
Considering the fast development of this field, it is currently impossible to
do a detailed review of a considerable number of pages.
  The report is an outcome of the Project 'The Strategic Research Partnership
for the mathematical aspects of complex, hypercomplex and fuzzy neural
networks' meeting at the University of Warmia and Mazury in Olsztyn, Poland,
organized in September 2022.
Agnieszka Niemczynowicz, Radosław A. Kycia, Maciej Jaworski, Artur Siemaszko, Jose M. Calabuig, Lluis M. García-Raffi, Baruch Schneider, Diana Berseghyan, Irina Perfiljeva, Vilem Novak, Piotr Artiemjew
# Selected aspects of complex, hypercomplex and fuzzy neural networks

###### Abstract

We present a new class of hypercomplex and fuzzy neural networks, which are the most common examples of hypercomplex and fuzzy neural networks. We show that hypercomplex and fuzzy neural networks are capable of complex and complex, hypercomplex and fuzzy neural networks. We show that hypercomplex and fuzzy neural networks are capable of complex and complex, hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hyper hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hyper hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hyper hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hyper hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hyper hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hyper hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hyper hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hyper hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hyper hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hyper hyper hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hyper hyper hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hyper hyper hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hyper hyper hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hyper hyper hyper hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hyper hyper hyper hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hyper hyper hyper hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hyper hyper hyper hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hyper hyper hyper hyper hypercomplex and fuzzy neural networks. We also show that hypercomplex and fuzzy neural networks are capable of complex and complex, hyper