Herbert Toth

The book provides an overview of the main concepts and results related to fuzzy matrices and fuzzy relations, using ’fuzzy’ in a general sense to mean many-valued. This overview, along with numerous references to original contributions dispersed across various journals, serves as a comprehensive guide for further exploration.This volume can be viewed in two ways: (i) as a companion to the author’s previous work, ’Relations: Concrete, Abstract, and Applied’ (published by WSPC, 2020), but with a distinct emphasis on many-valued concepts; or (ii) as a standalone volume that can be read independently, which necessarily includes some repetition of material from the earlier book as preliminary or reference content.Similar to the previous book, this one does not present new findings but offers a self-contained compilation of known results selected from the extensive research conducted over the past five decades, arranged in a systematic manner.The topics covered in this text have been the subject of intensive research over the last two decades, yet there has been no book publication on this subject for over 15 years. This book aims to bridge that gap.