Papakostas G.A., Kaburlasos V.G. Handbook of fuzzy sets comparison

Science Gate Publishing, Xanthi, Greece, 2016. — 173 p. — ISBN: 978-618-82628-2-9This edited book aims to capture the recent activity in the field of developing measures for fuzzy sets comparison, to emphasize the applicability of these measures and to set the perspectives and challenges for future actions.
The first chapter presents a unified methodology for the construction of distance and similarity measures utilizing the theoretical properties of fuzzy implications.
The second chapter paves the way toward a synergy of lattice implication algebra (LIA) and fuzzy lattice reasoning (FLR).
The third chapter focuses on discussing the relationships among similarity, divergence, subsethood measures and fuzzy entropy.
The fourth chapter provides theoretical results concerning the storage capacity and noise tolerance of a single-step generalized recurrent exponential fuzzy associative memories (GRE-FAM), with application in pattern classification.
Chapter five using a Distance-Based Kernel on Fuzzy Sets proposes a new kind of similarity measure based on the idea of plugging fuzzy distances into kernel definitions.
Chapter six presents a fuzzy based real-time software application that collects and processes the data autonomously, and produces
outputs that support the process of financial management.
The last chapter presents a method for fuzzy rules construction for fuzzy rule base systems.