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  • Book
  • © 2016

Imprecision and Uncertainty in Information Representation and Processing

New Tools Based on Intuitionistic Fuzzy Sets and Generalized Nets

  • Offers a snapshot of the state-of-the-art in the applications of intuitionistic fuzzy sets and generalized nets
  • Provides readers with a concise yet comprehensive overview of the underlying mathematical concepts
  • Discusses relevant examples and case studies
  • Includes supplementary material: sn.pub/extras

Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 332)

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Table of contents (24 chapters)

  1. Front Matter

    Pages i-xi
  2. Perspectives in Intuitionistic Fuzzy Set

    1. Front Matter

      Pages 1-1
    2. Fuzzy, Intuitionistic Fuzzy, What Next?

      • Vladik Kreinovich, Bui Cong Cuong
      Pages 3-13
  3. Intuitionistic Fuzzy Set

    1. Front Matter

      Pages 25-25
    2. Intuitionistic Fuzzy Inclusion Indicator of Intuitionistic Fuzzy Sets

      • Evgeniy Marinov, Radoslav Tsvetkov, Peter Vassilev
      Pages 41-53
    3. One, Two and Uni-type Operators on IFSs

      • Gökhan Çuvalcioğlu
      Pages 55-71
    4. Intuitionistic Fuzzy Weakly Open Mappings

      • Biljana Krsteska
      Pages 87-91
    5. Intuitionistic Fuzzy Dependency Framework

      • Boyan Kolev, Ivaylo Ivanov
      Pages 177-187
    6. Differential Calculus on \(\textit{IF}\) Sets

      • Alžbeta Michalíková
      Pages 207-231
    7. Recognizing Imbalanced Classes by an Intuitionistic Fuzzy Classifier

      • Eulalia Szmidt, Janusz Kacprzyk, Marta Kukier
      Pages 233-247
  4. Generalized Nets

    1. Front Matter

      Pages 273-273

About this book

The book offers a comprehensive and timely overview of advanced mathematical tools for both uncertainty analysis and modeling of parallel processes, with a special emphasis on intuitionistic fuzzy sets and generalized nets. The different chapters, written by active researchers in their respective areas, are structured to provide a coherent picture of this interdisciplinary yet still evolving field of science. They describe key tools and give practical insights into and research perspectives on the use of Atanassov's intuitionistic fuzzy sets and logic, and generalized nets for describing and dealing with uncertainty in different areas of science, technology and business, in a single, to date unique book. Here, readers find theoretical chapters, dealing with intuitionistic fuzzy operators, membership functions and algorithms, among other topics, as well as application-oriented chapters, reporting on the implementation of methods and relevant case studies in management science, the IT industry, medicine and/or education. With this book, the editors wish to pay homage to Professor Krassimir Todorov Atanassov for his pioneering work on both generalized nets and intuitionistic fuzzy set.

Editors and Affiliations

  • School of Computing and Communications, Lancaster University Bailrigg, Lancaster, United Kingdom

    Plamen Angelov

  • Intelligent Systems Laboratory, Prof. Assen Zlatarov University, Bourgas, Bulgaria

    Sotir Sotirov

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access