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Intuitionistic Fuzzy Calculus

  • Book
  • © 2017

Overview

Authors:
  1. Qian Lei

    1. College of Science, PLA University of Science and Technology, Jiangsu, Nanjing, China

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    You can also search for this author in PubMed   Google Scholar

  2. Zeshui Xu

    1. Business School, Sichuan University, Chengdu, China

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    You can also search for this author in PubMed   Google Scholar

  • Provides readers with the fundamental information to work with intuitionistic fuzzy calculus
  • Shows how to build calculus theory under intuitionistic fuzzy environment
  • Describes how to aggregate continuous intuitionistic fuzzy data or information
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xi
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  2. Basic Concepts Related to Intuitionistic Fuzzy Numbers

    • Qian Lei, Zeshui Xu
    Pages 1-20

  3. Derivatives and Differentials of Intuitionistic Fuzzy Functions

    • Qian Lei, Zeshui Xu
    Pages 21-39

  4. Integrals of Intuitionistic Fuzzy Functions

    • Qian Lei, Zeshui Xu
    Pages 41-72

  5. Aggregation Operations of Continuous Intuitionistic Fuzzy Information

    • Qian Lei, Zeshui Xu
    Pages 73-97

  6. Relationships Among IFWA Operator, IFIA Operator and Definite Integrals of IFFs

    • Qian Lei, Zeshui Xu
    Pages 99-132

  7. Complement Theory of Intuitionistic Fuzzy Calculus

    • Qian Lei, Zeshui Xu
    Pages 133-165

  8. Back Matter

    Pages 167-168
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Keywords

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.

Authors and Affiliations

  • College of Science, PLA University of Science and Technology, Jiangsu, Nanjing, China

    Qian Lei

  • Business School, Sichuan University, Chengdu, China

    Zeshui Xu

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