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Frontiers of Higher Order Fuzzy Sets

  • Book
  • © 2015

Overview

Editors:
  1. Alireza Sadeghian

    1. Ryerson University, Toronto, Canada

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    You can also search for this editor in PubMed   Google Scholar

  2. Hooman Tahayori

    1. Ryerson University, Toronto, Canada

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  • Presents new variations of fuzzy set frameworks and new areas of applicability of fuzzy theory

  • Provides unified method for representing higher order fuzzy sets

  • Discusses the role of gradual elements in fuzzy sets

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xiii
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  2. A New Fuzzy Disjointing Difference Operator to Calculate Union and Intersection of Type-2 Fuzzy Sets

    • Hooman Tahayori, Alireza Sadeghian
    Pages 1-17

  3. Robustness of Higher-Order Fuzzy Sets

    • Mohammad Biglarbegian
    Pages 19-29

  4. Fuzzy Sets of Higher Type and Higher Order in Fuzzy Modeling

    • Witold Pedrycz
    Pages 31-49

  5. Recent Advances in Fuzzy System Modeling

    • I. Burhan TürkÅŸen
    Pages 51-66

  6. On the Use of Participatory Genetic Fuzzy System Approach to Develop Fuzzy Models

    • Yi Ling Liu, Fernando Gomide
    Pages 67-86

  7. Fuzzy Modeling of Economic Institutional Rules

    • Christopher Frantz, Martin K. Purvis, Maryam A. Purvis, Mariusz Nowostawski, Nathan D. Lewis
    Pages 87-129

  8. Modeling the Uncertainty of a Set of Graphs Using Higher-Order Fuzzy Sets

    • Lorenzo Livi, Antonello Rizzi
    Pages 131-146

  9. Time-Series Forecasting via Complex Fuzzy Logic

    • Omolbanin Yazdanbakhsh, Scott Dick
    Pages 147-165

  10. Multi-Subject Type-2 Linguistic Summaries of Relational Databases

    • Adam Niewiadomski, Izabela Superson
    Pages 167-181

  11. Bio-Inspired Optimization of Interval Type-2 Fuzzy Controller Design

    • Oscar Castillo
    Pages 183-215

  12. Image Processing and Pattern Recognition with Interval Type-2 Fuzzy Inference Systems

    • Patricia Melin
    Pages 217-228

  13. Big Data Analytic via Soft Computing Paradigms

    • Mo Jamshidi, Barney Tannahill, Yunus Yetis, Halid Kaplan
    Pages 229-258

  14. Back Matter

    Pages 259-261
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Keywords

About this book

Frontiers of Higher Order Fuzzy Sets, provides a unified representation theorem for higher order fuzzy sets. The book elaborates on the concept of gradual elements and their integration with the higher order fuzzy sets. This book also is devoted to the introduction of new frameworks based on general T2FSs, IT2FSs, Gradual elements, Shadowed sets and rough sets. Such new frameworks will provide more capable frameworks for real applications. Applications of higher order fuzzy sets in various fields will be discussed. In particular, the properties and characteristics of the new proposed frameworks would be studied. Such frameworks that are the result of the integration of general T2FSs, IT2FSs, gradual elements, shadowed sets and rough sets will be shown to be suitable to be applied in the fields of bioinformatics, business,  management, ambient intelligence, medicine, cloud computing and smart grids.

Editors and Affiliations

  • Ryerson University, Toronto, Canada

    Alireza Sadeghian, Hooman Tahayori

About the editors

Dr. Alireza Sadeghian, PhD and Dr. Hooman Tahayori, PhD are both professors at Ryerson University

Bibliographic Information

  • Book Title: Frontiers of Higher Order Fuzzy Sets

  • Editors: Alireza Sadeghian, Hooman Tahayori

  • DOI: https://doi.org/10.1007/978-1-4614-3442-9

  • Publisher: Springer New York, NY

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Science+Business Media, LLC 2015

  • Hardcover ISBN: 978-1-4614-3441-2Published: 04 December 2014

  • Softcover ISBN: 978-1-4939-4451-4Published: 10 September 2016

  • eBook ISBN: 978-1-4614-3442-9Published: 03 December 2014

  • Edition Number: 1

  • Number of Pages: XIII, 261

  • Number of Illustrations: 64 b/w illustrations, 64 illustrations in colour

  • Topics: Computational Intelligence, Artificial Intelligence, Data Structures and Information Theory

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