Theory and Applications of Ordered Fuzzy Numbers by Piotr Prokopowicz
Theory and Applications of Ordered Fuzzy Numbers - Table of Contents
PART I & II: BACKGROUND & THEORY OF OFNs
- 1. Introduction to Fuzzy Sets
- 2. Introduction to Fuzzy Systems
- 3. Ordered Fuzzy Numbers: Sources and Intuitions
- 4. Ordered Fuzzy Numbers: Definitions and Operations
- 5. Processing Direction with Ordered Fuzzy Numbers
- 6. Comparing Fuzzy Numbers Using Defuzzificators on OFN Shapes
- 7. Two Approaches to Fuzzy Implication
PART III: APPLICATIONS (FINANCE & OPTIMIZATION)
- 8. OFN Capital Budgeting Under Uncertainty and Risk
- 9. Input-Output Model Based on Ordered Fuzzy Numbers
- 10. Ordered Fuzzy Candlesticks
- 11. Detecting Nasdaq Composite Index Trends with OFNs
- 12. OFN Ant Method Based on TSP Ant Colony Optimization
- 13. A New OFN Bee Method as an Example of Fuzzy Observance
PART III: APPLICATIONS (CONTROL & BIOMEDICAL)
- 14. Fuzzy Observation of DDoS Attack
- 15. Fuzzy Control for Secure TCP Transfer
- 16. Fuzzy Numbers Applied to a Heat Furnace Control
- 17. Analysis of Temporospatial Gait Parameters
- 18. OFN-Based Brain Function Modeling
What You Will Learn in Theory and Applications of Ordered Fuzzy Numbers
Theory and Applications of Ordered Fuzzy Numbers by Piotr Prokopowicz is an authoritative, mathematically rigorous treatise published by Springer that provides an in-depth exploration of Ordered Fuzzy Numbers (OFNs) and their practical implementation across engineering, finance, and artificial intelligence. This specialized volume guides readers through foundational fuzzy set theory, directional fuzzy number operations, shape-based defuzzification mechanisms, fuzzy implication operators, financial capital budgeting models, and stock index trend analysis with analytical rigor and structural clarity.
Designed for graduate students, computational intelligence researchers, data scientists, financial engineers, and control systems specialists, this foundational text addresses the mathematical limitations of classical fuzzy numbers by incorporating explicit directional information into arithmetic operations. Prokopowicz details step-by-step algorithms for OFN-based input-output models, candlestick financial chart pattern detection, fuzzy DDoS attack monitoring, secure TCP transfer control, and bio-inspired optimization techniques including OFN Ant Colony (TSP) and Bee Colony algorithms. Whether you are modeling complex human gait parameters, developing intelligent heat furnace controllers, or simulating brain function dynamics under uncertainty, this book offers an indispensable roadmap.
Recognized globally as a landmark publication on directional fuzzy arithmetic, it stands as one of the best advanced books on ordered fuzzy set theory for self-study and applied research. By connecting abstract fuzzy logic directly to real-world industrial and economic modeling, it serves as an essential tool for mastering ordered fuzzy arithmetic and soft computing algorithms with confidence.
Book Details & Specifications
Title:
Theory and Applications of Ordered Fuzzy Numbers by Piotr Prokopowicz
Publisher:
Springer
Year:
2017
Pages:
330
Type:
PDF
Language:
English
ISBN-10 #:
331986663X
ISBN-13 #:
978-3319866635
License:
CC BY 4.0
Amazon:
Amazon
About the Author: Piotr Prokopowicz
The author Piotr Prokopowicz
is a distinguished researcher and professor in computational intelligence, computer science, and fuzzy mathematics. He has authored numerous influential publications on fuzzy set extensions, soft computing architectures, and intelligent data analysis methodologies.
Through Theory and Applications of Ordered Fuzzy Numbers, Prokopowicz presents a cohesive framework for directional fuzzy arithmetic and its multi-disciplinary applications. His structured mathematical proofs, real-world engineering case studies, and practical algorithmic layouts make this monograph a classic reference for ordered fuzzy logic and applied computational intelligence valued by academic researchers and systems engineers worldwide.
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