Fuzzy Mathematics

A Fundamental Introduction
2025
ISBN: 978-3-031-73833-3
Verlag: Springer Nature Switzerland

Buch, Englisch, 102 Seiten, Format (B × H): 173 mm x 246 mm, Gewicht: 376 g

Reihe: Synthesis Lectures on Mathematics & Statistics

This book aims to introduce readers without a strong mathematical background to the basic ideas of fuzzy set theory and logic. Fuzzy mathematics is the mathematics of vagueness, a universal property of this world. There are many objects that are called vague because they cannot be precisely defined. Since vagueness is so common, a tool is needed to describe it and to effectively deal with it. Fuzzy mathematics is such a tool, and it is used by most researchers and scholars. As such, this book provides a short overview of the field written for non-specialists. This book allows readers to delve into the theory of fuzzy sets and introduces core mathematical ideas without using the usual formalities of books in mathematics, i.e. theorems, proofs, etc.

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Syropoulos, Apostolos

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Mathematik | Informatik Mathematik Stochastik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik

Inhaltsverzeichnis

What is Vagueness.- Sets and their Properties.- Fuzzy Sets and their Properties.- Extensions of Fuzzy Sets.- Fuzzy Numbers.- Other Fuzzy Constructs.

Über Autor(innen)

Apostolos Syropoulos holds a B.Sc. in Physics, an M.Sc. in Computer Science, and a Ph.D. in Theoretical Computer Science. His research interests focus on computability theory, category theory, fuzzy set theory, and digital typography. He has authored or co-authored 12 books, co-edited two books, and over 60 papers and articles.