A Modern Introduction to Fuzzy Mathematics

Apostolos Syropoulos, Theophanes Grammenos

• Editorial: Wiley
• Año: 2020
• ISBN:
  9781119445296
• Edición: 1
• Categoría: Technologie et ingénierie
• Categoría: Ingénierie de l'électricité et des télécommunications

Provides readers with the foundations of fuzzy mathematics as well as more advanced topics

A Modern Introduction to Fuzzy Mathematics provides a concise presentation of fuzzy mathematics., moving from proofs of important results to more advanced topics, like fuzzy algebras, fuzzy graph theory, and fuzzy topologies.

The authors take the reader through the development of the field of fuzzy mathematics, starting with the publication in 1965 of Lotfi Asker Zadeh's seminal paper, Fuzzy Sets.

The book begins with the basics of fuzzy mathematics before moving on to more complex topics, including:

• Fuzzy sets
• Fuzzy numbers
• Fuzzy relations
• Possibility theory
• Fuzzy abstract algebra
• And more

Perfect for advanced undergraduate students, graduate students, and researchers with an interest in the field of fuzzy mathematics, A Modern Introduction to Fuzzy Mathematics walks through both foundational concepts and cutting-edge, new mathematics in the field.

Índice

• Cover
• Table of Contents
• Preface
• Acknowledgments
• 1 Introduction
• 2 Fuzzy Sets and Their Operations
• 3 Fuzzy Numbers and Their Arithmetic
• 4 Fuzzy Relations
• 5 Possibility Theory
• 6 Fuzzy Statistics
• 7 Fuzzy Logics
• 8 Fuzzy Computation
• 9 Fuzzy Abstract Algebra
• 10 Fuzzy Topology
• 11 Fuzzy Geometry
• 12 Fuzzy Calculus
• A Fuzzy Approximation
• B Chaos and Vagueness
• Works Cited
• Subject Index
• Author Index
• End User License Agreement