Fuzzy Mathematics by Etienne Kerre, John Mordeson
Fuzzy Mathematics - Table of Contents
PART I: FUZZY SETS & ALGEBRAIC STRUCTURES
- 1. Introduction to Fuzzy Sets and Membership Functions
- 2. Operations on Fuzzy Sets and Triangulated Norms
- 3. Fuzzy Relations and Fuzzy Matrices
- 4. Fuzzy Algebraic Structures (Fuzzy Groups & Rings)
PART II: FUZZY TOPOLOGY & APPLICATIONS
- 5. Foundations of Fuzzy Topology
- 6. Fuzzy Measures and Integration
- 7. Approximate Reasoning and Fuzzy Logic
- 8. Applications in Decision Analysis and Soft Computing
What You Will Learn in Fuzzy Mathematics
Fuzzy Mathematics by Etienne E. Kerre and John N. Mordeson is an authoritative, mathematically rigorous monograph that explores the foundational structures of fuzzy set theory and its mathematical extensions. This comprehensive volume guides readers through fuzzy sets, fuzzy relations, fuzzy algebraic systems, fuzzy topological spaces, fuzzy measures, and approximate reasoning frameworks with exceptional analytical clarity and logical precision.
Designed for graduate students, fuzzy logic researchers, computer scientists, and applied mathematicians, this foundational text bridges pure abstract set theory and practical soft computing algorithms. The authors detail step-by-step mathematical proofs for fuzzy group theory, fuzzy topology, interval-valued fuzzy sets, and fuzzy decision-making models. Whether you are investigating non-classical logics, neural-fuzzy systems, or decision analysis under uncertainty, this book offers an indispensable roadmap.
Recognized globally for its clear layout and complete theoretical framework, it stands as one of the best fuzzy mathematics books for self-study. By balancing abstract algebraic rigor with applications to computer science, it serves as an essential tool for mastering fuzzy logic and mathematics with confidence.
Book Details & Specifications
Title:
Fuzzy Mathematics by Etienne Kerre, John Mordeson
Publisher:
MDPI
Year:
2018
Pages:
288
Type:
PDF
Language:
English
ISBN-10 #:
303897322X
ISBN-13 #:
978-3038973225
License:
Creative Commons
Amazon:
Amazon
About the Author: Etienne E Kerre
The author Etienne E Kerre
is a Professor Emeritus in the Department of Applied Mathematics and Computer Science at Ghent University, Belgium, internationally recognized for his pioneering research in fuzzy set theory, fuzzy topology, fuzzy database models, and non-classical logic. He has authored and edited numerous research monographs and hundreds of influential scientific articles.
Co-authored alongside John N. Mordeson, Professor Emeritus of Mathematics at Creighton University and a leading expert in fuzzy algebraic structures and fuzzy mathematics applications, Fuzzy Mathematics reflects their joint dedication to formalizing fuzzy systems theory. Their precise mathematical definitions, rigorous proof techniques, and focus on fundamental structures make this volume a classic reference for fuzzy mathematics trusted by mathematicians and researchers worldwide.
Read or Downloadable Fuzzy Mathematics
Free Applied Mathematics Books PDF | Download Academic Resources