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Fuzzy Mathematics
A Fundamental Introduction
Buch von Apostolos Syropoulos
Sprache: Englisch

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Beschreibung

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.

In addition, this book:

  • Introduces core mathematical ideas and allows readers to delve into the theory of fuzzy sets
  • Avoids mathematical formalities, i.e. theorems, proofs, etc., aiding readers without a strong mathematical background
  • Explains how to mathematically describe vagueness using fuzzy sets and fuzzy logic

About the Author

Apostolos Syropoulos holds a [...]. in Physics, an [...]. 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.

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.

In addition, this book:

  • Introduces core mathematical ideas and allows readers to delve into the theory of fuzzy sets
  • Avoids mathematical formalities, i.e. theorems, proofs, etc., aiding readers without a strong mathematical background
  • Explains how to mathematically describe vagueness using fuzzy sets and fuzzy logic

About the Author

Apostolos Syropoulos holds a [...]. in Physics, an [...]. 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.

Über den Autor

Apostolos Syropoulos holds a [...]. in Physics, an [...]. 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.

Inhaltsverzeichnis

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

Details
Erscheinungsjahr: 2025
Fachbereich: Allgemeines
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: x
102 S.
29 s/w Illustr.
4 farbige Illustr.
102 p. 33 illus.
4 illus. in color.
ISBN-13: 9783031738333
ISBN-10: 3031738330
Sprache: Englisch
Einband: Gebunden
Autor: Syropoulos, Apostolos
Hersteller: Springer Nature Switzerland
Springer International Publishing AG
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 246 x 173 x 12 mm
Von/Mit: Apostolos Syropoulos
Erscheinungsdatum: 26.02.2025
Gewicht: 0,376 kg
Artikel-ID: 130113236
Über den Autor

Apostolos Syropoulos holds a [...]. in Physics, an [...]. 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.

Inhaltsverzeichnis

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

Details
Erscheinungsjahr: 2025
Fachbereich: Allgemeines
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: x
102 S.
29 s/w Illustr.
4 farbige Illustr.
102 p. 33 illus.
4 illus. in color.
ISBN-13: 9783031738333
ISBN-10: 3031738330
Sprache: Englisch
Einband: Gebunden
Autor: Syropoulos, Apostolos
Hersteller: Springer Nature Switzerland
Springer International Publishing AG
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 246 x 173 x 12 mm
Von/Mit: Apostolos Syropoulos
Erscheinungsdatum: 26.02.2025
Gewicht: 0,376 kg
Artikel-ID: 130113236
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