Intuitionistic Fuzzy Calculus

  • Qian Lei
  • Zeshui Xu

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 353)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Qian Lei, Zeshui Xu
    Pages 41-72
  3. Qian Lei, Zeshui Xu
    Pages 133-165
  4. Back Matter
    Pages 167-168

About this book


This book offers a comprehensive and systematic review of the latest research findings in the area of intuitionistic fuzzy calculus. After introducing the intuitionistic fuzzy numbers’ operational laws and their geometrical and algebraic properties, the book defines the concept of intuitionistic fuzzy functions and presents the research on the derivative, differential, indefinite integral and definite integral of intuitionistic fuzzy functions. It also discusses some of the methods that have been successfully used to deal with continuous intuitionistic fuzzy information or data, which are different from the previous aggregation operators focusing on discrete information or data. Mainly intended for engineers and researchers in the fields of fuzzy mathematics, operations research, information science and management science, this book is also a valuable textbook for postgraduate and advanced undergraduate students alike.


Intuitionistic Fuzzy Functions Definite Integrals of Intuitionistic Fuzzy Functions Operations on Intuitionistic Fuzzy Numbers Integral Aggregating Value Aggregation Operators IFWA Operator IFIA Operator t-norm and t-conorm Complement Operator of IFNs

Authors and affiliations

  • Qian Lei
    • 1
  • Zeshui Xu
    • 2
  1. 1.College of SciencePLA University of Science and TechnologyJiangsu, NanjingChina
  2. 2.Business SchoolSichuan UniversityChengduChina

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-54147-1
  • Online ISBN 978-3-319-54148-8
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • Buy this book on publisher's site
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