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Recent Advances in Intuitionistic Fuzzy Logic Systems and Mathematics

  • Book
  • © 2021

Overview

Editors:
  1. Said Melliani

    1. Department of Mathematics, Sultan Moulay Slimane University, Beni Mellal, Morocco

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    You can also search for this editor in PubMed   Google Scholar

  2. Oscar Castillo

    1. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Mexico

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Provides an overview of the state-of-the-art in both the theory and methods of intuitionistic fuzzy logic, partial differential equations and numerical methods in informatics
  • Covers topics such as fuzzy intuitionistic Hilbert spaces, intuitionistic fuzzy differential equations, fuzzy intuitionistic metric spaces, and numerical methods for differential equations
  • Includes various applications, such as fuzzy real-time scheduling, intelligent control, diagnostics and time series prediction

Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 395)

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-viii
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  2. Fuzzy Semigroups and Fuzzy Nonlinear Evolution Equations

    • Said Melliani, El Hassan El Jaoui, Lalla Saadia Chadli
    Pages 1-13

  3. On Fuzzy Localized Subring

    • Idris Bakhadach, Said Melliani, Hamid Sadiki, Lalla Saadia Chadli
    Pages 15-20

  4. Coupled System of Nonlinear Fuzzy Volterra–Urysohn Integral Equations

    • Abdelati El Allaoui, Said Melliani, Lalla Saadia Chadli
    Pages 21-35

  5. Optimal Bounded Control on the Velocity Term of a Bilinear Plate Equation

    • Abderrahman Ait Aadi, El Hassan Zerrik
    Pages 37-51

  6. Numerical Solution of Intuitionistic Fuzzy Differential Equations by Runge–Kutta Verner Method

    • Bouchra Ben Amma, Said Melliani, Lalla Saadia Chadli
    Pages 53-69

  7. Fuzzy Hidden Markov Model in Images Segmentation

    • Meryem Ameur, Cherki Daoui, Najlae Idrissi
    Pages 71-95

  8. Solving the Intuitionistic Fuzzy Fractional Partial Differential Equations

    • Ali El Mfadel, Said Melliani, Mhamed Elomari, Lalla Saadia Chadli
    Pages 97-108

  9. Using Machine Learning with PySpark and MLib for Solving a Binary Classification Problem: Case of Searching for Exotic Particles

    • Mourad Azhari, Abdallah Abarda, Badia Ettaki, Jamal Zerouaoui, Mohamed Dakkon
    Pages 109-118

  10. On Some Results of Fuzzy Super-Connected Space

    • Mariam El Hassnaoui, Said Melliani, Mohamed Oukessou
    Pages 119-130

  11. Regional Optimal Control Problem of a Heat Equation with Bilinear Bounded Boundary Controls

    • Zerrik El Hassan, EL Kabouss Abella
    Pages 131-142

  12. Fuzzy Equations for Mixed Convection in a Rectangular Cavity

    • Atimad Harir, Hassan El Harfi, Said Melliani, Lalla Saadia Chadli
    Pages 143-157

  13. Likelihood and Decoding in a Partially Hidden Markov Model

    • Karima Elkimakh, Abdelaziz Nasroallah
    Pages 159-175

  14. Solution of First Order Linear Intuitionistic Fuzzy Differential Equations by the Variation of Constants Formula

    • Razika Ettoussi, Said Melliani, Lalla Saadia Chadli
    Pages 177-191

  15. A Secure Variant of the Fiat and Shamir Authentication Protocol Using Gaussian Integers

    • Leila Zahhafi, Omar Khadir
    Pages 193-198

  16. Resolution of a System of the Max-Product Fuzzy Relation Equations Using \( B\circ B^t \)-Factorization

    • Hamid Sadiki, Lalla Saadia Chadli, Said Melliani, Idris Bakhadach
    Pages 199-209

  17. On an Infinite Family of Imaginary Triquadratic Number Fields

    • M. M. Chems-Eddin, A. Azizi, A. Zekhnini
    Pages 211-215

  18. Computational Methods for Solving Intuitionistic Fuzzy Linear Systems

    • Hafida Atti, Bouchra Ben Amma, Said Melliani, Mohamed Oukessou, Lalla Saadia Chadli
    Pages 217-229

  19. On the Principal Minors Assignment Problem for Skew-Symmetric Matrices

    • R. Matoui, K. Driss
    Pages 231-250

  20. On a Class of Nonlinear Elliptic Unilateral Problems Involving Only a Growth Condition on Nonlinearities

    • H. Sabiki, H. Moussa, M. Rhoudaf
    Pages 251-271
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Keywords

About this book

This book provides an overview of the state-of-the-art in both the theory and methods of intuitionistic fuzzy logic, partial differential equations and numerical methods in informatics. Covering topics such as fuzzy intuitionistic Hilbert spaces, intuitionistic fuzzy differential equations, fuzzy intuitionistic metric spaces, and numerical methods for differential equations, it discusses applications such as fuzzy real-time scheduling, intelligent control, diagnostics and time series prediction. The book features selected contributions presented at the 6th international congress of the Moroccan Applied Mathematics Society, which took place at Sultan Moulay Slimane University Beni Mellal, Morocco, from 7 to 9 November 2019.


Editors and Affiliations

  • Department of Mathematics, Sultan Moulay Slimane University, Beni Mellal, Morocco

    Said Melliani

  • Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Mexico

    Oscar Castillo

Bibliographic Information

  • Book Title: Recent Advances in Intuitionistic Fuzzy Logic Systems and Mathematics

  • Editors: Said Melliani, Oscar Castillo

  • Series Title: Studies in Fuzziness and Soft Computing

  • DOI: https://doi.org/10.1007/978-3-030-53929-0

  • Publisher: Springer Cham

  • eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-53928-3Published: 13 October 2020

  • Softcover ISBN: 978-3-030-53931-3Published: 14 October 2021

  • eBook ISBN: 978-3-030-53929-0Published: 12 October 2020

  • Series ISSN: 1434-9922

  • Series E-ISSN: 1860-0808

  • Edition Number: 1

  • Number of Pages: VIII, 285

  • Number of Illustrations: 14 b/w illustrations, 28 illustrations in colour

  • Topics: Computational Intelligence, Artificial Intelligence

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