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Neutrosophic Operational Research

Methods and Applications

  • Book
  • © 2021

Overview

Editors:
  1. Florentin Smarandache

    1. Department of Mathematics and Science, University of New Mexico, Gallup, USA

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  2. Mohamed Abdel-Basset

    1. Faculty of Computers and Informatics, Zagazig University, Zagazig, Sharqiyah, Egypt

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    You can also search for this editor in PubMed   Google Scholar

  • Presents state-of-the-art research on neutrosophic theory and its application in operations research
  • Includes researches discussing the latest progress, new research methodologies, and potential research topics
  • Provides a concentrated summary to a wide array of topics

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Table of contents (28 chapters)

  1. Front Matter

    Pages i-vii
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  2. Neutrosophical Plant Hybridization in Decision-Making Problems

    • M. Arockia Dasan, E. Bementa, Florentin Smarandache, X. Tubax
    Pages 1-17

  3. Multicriteria Decision-Making Based on Quadripartitioned Neutrosophic Cross-Entropy

    • M. Mohanasundari, K. Mohana
    Pages 19-34

  4. New Entropy, Similarity Measures of Interval-Valued Neutrosophic Sets, and Application in Supplier Selection

    • Truong Thi Thuy Duong, Nguyen Xuan Thao, Florentin Smarandache
    Pages 35-54

  5. Control Chart for Monitoring Variation Using Multiple Dependent State Sampling Under Neutrosophic Statistics

    • Nasrullah Khan, Liaquat Ahmad, Muhammad Azam, Muhammad Aslam, Florentin Smarandache
    Pages 55-70

  6. Three-Way Decisions with Single-Valued Neutrosophic Uncertain Linguistic Decision-Theoretic Rough Sets Based on Generalized Maclaurin Symmetric Mean Operators

    • Zeeshan Ali, Tahir Mahmood, Florentin Smarandache
    Pages 71-101

  7. Novel Distance Measures Over SVTN-Numbers and Their Application to Multi-Criteria Decision Making Problems

    • Åžerif Özlü, Ä°rfan Deli̇
    Pages 103-126

  8. The Determinant and Adjoint of an Interval-Valued Neutrosophic Matrix

    • Faruk Karaaslan, Khizar Hayat, Chiranjibe Jana
    Pages 127-151

  9. Neutrosophic Normal Probability Distribution—A Spine of Parametric Neutrosophic Statistical Tests: Properties and Applications

    • Rehan Ahmad Khan Sherwani, Muhammad Aslam, Muhammad Ali Raza, Muhammad Farooq, Muhammad Abid, Muhammad Tahir
    Pages 153-169

  10. New Algorithms for Bipolar Single-Valued Neutrosophic Hamiltonian Cycle

    • M. Lathamaheswari, Said Broumi, Florentin Smarandache
    Pages 171-186

  11. Improved Cosine Similarity Measures of Simplified Neutrosophic Sets for Medical Diagnoses: Suggested Modifications

    • Mohamed Abdel-Basset, Mai Mohamed, Jun Ye
    Pages 187-196

  12. Fuzzy Multi-Objective Inventory Model for Deteriorating Items, with Shortages Under Space Constraint: Neutrosophic Hesitant Fuzzy Programming Approach

    • Sahidul Islam
    Pages 197-219

  13. Bulbul Disaster Assessment Using Single-Valued Spherical Hesitant Neutrosophic Dombi Weighted Aggregation Operators

    • Abhijit Saha, Debjit Dutta, Said Broumi
    Pages 221-243

  14. Application of Generalized Aggregate Operators on Neutrosophic Hypersoft Set in Decision-Making

    • Rana Muhammad Zulqarnain, Xiao Long Xin, Muhammad Saqlain, Florentin Smarandache
    Pages 245-261

  15. Neutrosophic Statistics for Grouped Data: Theory and Applications

    • Rehan Ahmad Khan Sherwani, Muhammad Aslam, Huma Shakeel, Kamran Abbas, Farrukh Jamal
    Pages 263-289

  16. A New Approach to Neutrosophic Soft Mappings and Application in Decision Making

    • Adem Yolcu, Elif Karatas, Taha Yasin Ozturk
    Pages 291-313

  17. Multiple Attribute Decision-Making Based on Uncertain Linguistic Operators in Neutrosophic Environment

    • Chiranjibe Jana, Madhumangal Pal
    Pages 315-341

  18. Neutrosophic Probabilistic Expert System for Decision-Making Support in Supply Chain Risk Management

    • Rafael Rojas-Gualdron, Florentin Smarandache, Carlos Diaz-Bohorquez
    Pages 343-366

  19. Cloud Computing Technology Selection Using a Novel Neutrosophic Extension of the MULTIMOORA Method Based on the Use of Interval-Valued and Triangular-Valued Neutrosophic Numbers

    • Dragisa Stanujkic, Darjan Karabasevic, Gabrijela Popovic, Edmundas Kazimieras Zavadskas, Maja Stanujkic
    Pages 367-394

  20. Neutrosophic Linear Differential Equation with a New Concept of Neutrosophic Derivative

    • Sandip Moi, Suvankar Biswas, Smita Pal (Sarkar)
    Pages 395-410
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Keywords

About this book

This book addresses new concepts, methods, algorithms, modeling, and applications of green supply chain, inventory control problems, assignment problems, transportation problem, linear problems and new information related to optimization for the topic from the theoretical and applied viewpoints of neutrosophic sets and logic.

The book is an innovatory of new tools and procedures, such as: Neutrosophic Statistical Tests and Dependent State Samplings, Neutrosophic Probabilistic Expert Systems, Neutrosophic HyperSoft Set, Quadripartitioned Neutrosophic Cross-Entropy, Octagonal and Spherical and Cubic Neutrosophic Numbers used in machine learning.

It highlights the process of neutrosofication {which means to split the universe into three parts, two opposite ones (Truth and Falsehood), and an Indeterminate or neutral one (I) in between them}. It explains Three-Ways Decision, how the universe set is split into three different distinct areas, in regard to the decision process, representing: Acceptance, Noncommitment, and Rejection, respectively. The Three-Way Decision is used in the Neutrosophic Linguistic Rough Set, which has never been done before.

Editors and Affiliations

  • Department of Mathematics and Science, University of New Mexico, Gallup, USA

    Florentin Smarandache

  • Faculty of Computers and Informatics, Zagazig University, Zagazig, Sharqiyah, Egypt

    Mohamed Abdel-Basset

About the editors

Florentin Smarandache is a Professor of Mathematics in the Division of Math and Sciences at the University of New Mexico, Gallup Campus, US. His research interests include Neutrosophic Sets, Plithogenic Sets, Fuzzy Logic, and Superluminal Physics


Mohamed Abdel-Basset is an Associate Professor, Faculty of Computers and Informatics at Zagazig University, Egypt. His research interests include Intelligent Computing, Operations Research/DSS, Big Data Analytics, and Neutrosophic/Fuzzy Systems.

Bibliographic Information

  • Book Title: Neutrosophic Operational Research

  • Book Subtitle: Methods and Applications

  • Editors: Florentin Smarandache, Mohamed Abdel-Basset

  • DOI: https://doi.org/10.1007/978-3-030-57197-9

  • Publisher: Springer Cham

  • 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 Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-57196-2Published: 10 September 2021

  • Softcover ISBN: 978-3-030-57199-3Published: 10 September 2022

  • eBook ISBN: 978-3-030-57197-9Published: 09 September 2021

  • Edition Number: 1

  • Number of Pages: VII, 634

  • Number of Illustrations: 17 b/w illustrations, 52 illustrations in colour

  • Topics: Operations Research/Decision Theory, Operations Research, Management Science

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