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Generalized Intuitionistic Multiplicative Fuzzy Calculus Theory and Applications

  • Book
  • © 2020

Overview

Authors:
  1. Shan Yu

    1. Department of General Education, Army Engineering University of PLA, Nanjing, China

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  2. Zeshui Xu

    1. Business School, Sichuan University, Chengdu, China

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  • Provides theories and techniques to model the definite integrals for generalized intuitionistic multiplicative fuzzy information
  • Introduces approaches to aggregate not only discrete or continuous but also correlative (generalized) intuitionistic (multiplicative) fuzzy information based on the definite integral models
  • Identifies the approaches by military applications, such as the interaction effect by the external agents of the network public opinion in violence and terrorist incidents

Part of the book series: Uncertainty and Operations Research (UOR)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Basic Operations Between Generalized Intuitionistic Multiplicative Fuzzy Information

    • Shan Yu, Zeshui Xu
    Pages 1-15

  3. Derivatives and Differentials for Generalized Intuitionistic Multiplicative Fuzzy Information

    • Shan Yu, Zeshui Xu
    Pages 17-37

  4. Indefinite Integrals of Generalized Intuitionistic Multiplicative Fuzzy Functions

    • Shan Yu, Zeshui Xu
    Pages 39-50

  5. Definite Integrals of Generalized Intuitionistic Multiplicative Fuzzy Functions

    • Shan Yu, Zeshui Xu
    Pages 51-66

  6. Several Applications Based on the Definite Integral Models for (Generalized) Intuitionistic (Multiplicative) Fuzzy Information

    • Shan Yu, Zeshui Xu
    Pages 67-113

  7. Back Matter

    Pages 115-120
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Keywords

About this book

This book mainly introduces the latest development of generalized intuitionistic multiplicative fuzzy calculus and its application. The book pursues three major objectives: (1) to introduce the calculus models with concrete mathematical expressions for generalized intuitionistic multiplicative fuzzy information; (2) to introduce new information fusion methods based on the definite integral models; and (3) to clarify the involved approaches bymilitary case. The book is especially valuable for readers to understand how the theoretical framework of generalized intuitionistic multiplicative fuzzy calculus is constructed, not only discrete or continuous but also correlative (generalized) intuitionistic (multiplicative) fuzzy information is aggregated based on the definite integral models and the theory with a military practice is integrated, which would deepen the understanding and give researchers more inspiration in practical decision analysis under uncertainties.

Authors and Affiliations

  • Department of General Education, Army Engineering University of PLA, Nanjing, China

    Shan Yu

  • Business School, Sichuan University, Chengdu, China

    Zeshui Xu

Bibliographic Information

  • Book Title: Generalized Intuitionistic Multiplicative Fuzzy Calculus Theory and Applications

  • Authors: Shan Yu, Zeshui Xu

  • Series Title: Uncertainty and Operations Research

  • DOI: https://doi.org/10.1007/978-981-15-5612-8

  • Publisher: Springer Singapore

  • eBook Packages: Business and Management, Business and Management (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2020

  • Hardcover ISBN: 978-981-15-5611-1Published: 30 May 2020

  • Softcover ISBN: 978-981-15-5614-2Published: 30 May 2021

  • eBook ISBN: 978-981-15-5612-8Published: 29 May 2020

  • Series ISSN: 2195-996X

  • Series E-ISSN: 2195-9978

  • Edition Number: 1

  • Number of Pages: XIV, 120

  • Number of Illustrations: 13 b/w illustrations, 15 illustrations in colour

  • Topics: Operations Research/Decision Theory, Information Systems and Communication Service

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