Theory and Applications of Ordered Fuzzy Numbers A Tribute to Professor Witold Kosiński 1st edition by Piotr Prokopowicz, Jacek Czerniak, Dariusz Mikołajewski, Łukasz Apiecionek, Dominik Ślȩzak ISBN 331986663X 978-3319866635

Theory and Applications of Ordered Fuzzy Numbers A Tribute to Professor Witold Kosiński 1st edition by Piotr Prokopowicz, Jacek Czerniak, Dariusz Mikołajewski, Łukasz Apiecionek, Dominik Ślȩzak – Ebook PDF Instant Download/Delivery. 331986663X 978-3319866635
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Product details:

 
ISBN 10: 331986663X
ISBN 13: 978-3319866635
Author: Piotr Prokopowicz, Jacek Czerniak, Dariusz Mikołajewski, Łukasz Apiecionek, Dominik Ślȩzak 

Offers a comprehensive introduction to ordered fuzzy numbers

Demonstrates how to use ordered fuzzy numbers in real-world applications

Presents methods for trend modeling when only imprecise data is available

Theory and Applications of Ordered Fuzzy Numbers A Tribute to Professor Witold Kosiński 1st Table of contents:

Part I: Foundations of Fuzzy Numbers

Chapter 1: Introduction to Fuzzy Sets

• Historical background and development of fuzzy set theory.

• Key concepts: membership functions, fuzzy sets, and fuzzy logic.

Chapter 2: Ordered Fuzzy Numbers

• Definition and properties of ordered fuzzy numbers.

• Operations on fuzzy numbers: addition, subtraction, multiplication, etc.

• Applications in decision-making and optimization.

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Part II: Mathematical and Computational Techniques

Chapter 3: Algebraic Structures of Fuzzy Numbers

• Investigating algebraic properties: closure, commutativity, and associativity in fuzzy number operations.

• Fuzzy number spaces and their properties.

Chapter 4: Numerical Methods and Algorithms

• Computational approaches for handling fuzzy numbers.

• Approximation methods for solving fuzzy systems.

• Algorithms for fuzzy arithmetic.

Chapter 5: Optimization with Fuzzy Numbers

• Fuzzy linear programming and optimization techniques.

• Methods for solving fuzzy optimization problems in real-world scenarios.

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Part III: Applications of Ordered Fuzzy Numbers

Chapter 6: Fuzzy Decision-Making Systems

• Using ordered fuzzy numbers in decision theory.

• Applications in multi-criteria decision-making (MCDM) problems.

• Case studies: fuzzy decision models in economics, engineering, and management.

Chapter 7: Applications in Control Systems

• Use of fuzzy logic and fuzzy numbers in control theory.

• Design of fuzzy controllers and their applications in automation.

Chapter 8: Fuzzy Data Analysis and Modeling

• Statistical methods for dealing with fuzzy data.

• Applications of fuzzy numbers in regression analysis and data modeling.

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Part IV: Advanced Topics and Future Directions

Chapter 9: Generalizations of Fuzzy Numbers

• Extensions of fuzzy numbers: interval-valued fuzzy numbers, picture fuzzy sets.

• Higher-dimensional fuzzy number models.

Chapter 10: Recent Advances in Fuzzy Theory

• Cutting-edge research and applications in fuzzy number theory.

• Links between fuzzy logic, artificial intelligence, and machine learning.

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Appendices

• A. Key Definitions and Notations

• B. List of Contributors

• C. References

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