Frontiers of Higher Order Fuzzy Sets

  • Alireza Sadeghian
  • Hooman Tahayori

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Mohammad Biglarbegian
    Pages 19-29
  3. I. Burhan Türkşen
    Pages 51-66
  4. Christopher Frantz, Martin K. Purvis, Maryam A. Purvis, Mariusz Nowostawski, Nathan D. Lewis
    Pages 87-129
  5. Omolbanin Yazdanbakhsh, Scott Dick
    Pages 147-165
  6. Adam Niewiadomski, Izabela Superson
    Pages 167-181
  7. Mo Jamshidi, Barney Tannahill, Yunus Yetis, Halid Kaplan
    Pages 229-258
  8. Back Matter
    Pages 259-261

About this book


Frontiers of Higher Order Fuzzy Sets, strives to improve the theoretical aspects of general and Interval Type-2 fuzzy sets and provides a unified representation theorem for higher order fuzzy sets. Moreover, the book elaborates on the concept of gradual elements and their integration with the higher order fuzzy sets. This book also introduces new frameworks for information granulation based on general T2FSs, IT2FSs, Gradual elements, Shadowed sets and rough sets. In particular, the properties and characteristics of the new proposed frameworks are studied. Such new frameworks are shown to be more capable to be exploited in real applications. Higher order fuzzy sets 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.

  • 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


Computational Intelligence Fuzzy Set Theory Fuzzy Systems Gradual Elements Granular Computing Higher Order Fuzzy Sets Shadowed Sets Soft Computing

Editors and affiliations

  • Alireza Sadeghian
    • 1
  • Hooman Tahayori
    • 2
  1. 1.Ryerson UniversityTorontoCanada
  2. 2.Ryerson UniversityTorontoCanada

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media, LLC 2015
  • Publisher Name Springer, New York, NY
  • eBook Packages Engineering
  • Print ISBN 978-1-4614-3441-2
  • Online ISBN 978-1-4614-3442-9
  • Buy this book on publisher's site