Fuzzy Mathematics

A Fundamental Introduction

Apostolos Syropoulos (Autor)

Buch | Hardcover

XII, 100 Seiten

2025
Springer International Publishing (Verlag)
978-3-031-73833-3 (ISBN)

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This book aims to introduce readers without a strong mathematical background to the basic ideas of fuzzy set theory and logic. 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.

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.

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.

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

Erscheint lt. Verlag	21.1.2025
Reihe/Serie	Synthesis Lectures on Mathematics & Statistics
Zusatzinfo	Approx. 150 p.
Verlagsort	Cham
Sprache	englisch
Maße	168 x 240 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
Schlagworte	Applied mathematics • Fuzzy Constructs • Fuzzy Logic • fuzzy numbers • Fuzzy Sets • Optimization • Theory of Fuzzy Sets • vagueness
ISBN-10	3-031-73833-0 / 3031738330
ISBN-13	978-3-031-73833-3 / 9783031738333
Zustand	Neuware