Optimization Theory Based on Neutrosophic and Plithogenic Sets

Optimization Theory Based on Neutrosophic and Plithogenic Sets

1st Edition - January 14, 2020

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  • Editors: Florentin Smarandache, Mohamed Abdel-Basset
  • Paperback ISBN: 9780128196700
  • eBook ISBN: 9780128199084

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Optimization Theory Based on Neutrosophic and Plithogenic Sets presents the state-of-the-art research on neutrosophic and plithogenic theories and their applications in various optimization fields. Its table of contents covers new concepts, methods, algorithms, modelling, and applications of green supply chain, inventory control problems, assignment problems, transportation problem, nonlinear problems and new information related to optimization for the topic from the theoretical and applied viewpoints in neutrosophic sets and logic.

Key Features

  • All essential topics about neutrosophic optimization and Plithogenic sets make this volume the only single source of comprehensive information
  • New and innovative theories help researchers solve problems under diverse optimization environments
  • Varied applications address practitioner fields such as computational intelligence, image processing, medical diagnosis, fault diagnosis, and optimization design


Academics, researchers and students who deal with supply chain management, production management, decision making under fuzziness; industrial engineering departments, management engineering departments, and system engineering departments; researchers in soft computing and computer science

Table of Contents

  • 1. Neutrosophic Set Theory and Application in Management Science
    2. Logistics Engineering: Modelling, Optimization and Simulation
    3. Operations Research and Operations Management
    4. Production Planning and Control
    5. Neutrosophic set-based Project Management
    6. Neutrosophic set-based Linear Programming Problems
    7. Neutrosophic set-based Integer Programming Problems
    8. Neutrosophic set-based Goal Programming Problems
    9. Neutrosophic set-based Game Theory
    10. Neutrosophic set-based Nonlinear Programming problems and its applications
    11. Neutrosophic based on Operations Research applications
    12. Neutrosophic set-based Computational Modelling
    13. Soft Computing, and logic for optimum results
    14. Design of Nonlinear Optimal Controllers
    15. Neutrosophic Geophysics
    16. Neutrosophic Computational Systems Biology
    17. Neutrosophic Molecular Modeling
    18. Refined Neutrosophic Set and Logic
    19. Neutrosophic Over-/Under-/Off-Set and -Logic
    20. Neutrosophic Mathematical Programming
    21. Neutrosophic Possibilistic Optimization
    22. Neutrosophic Image Processing
    23. Neutrosophic Civil Engineering
    24. Neutrosophic Electric Engineering
    25. Neutrosophic Regression Analysis
    26. Neutrosophic Data Analysis
    27. Fundamental theories for Operational Research under Uncertainty
    28. Neutrosophic sets-based Multi-Criteria Group Decision Making
    29. Neutrosophic set-based Economic Forecasting
    30. Complex neutrosophic set-based Group Decision Making
    31. Neutrosophic and Plithogenic Evolutionary Algorithms
    32. Neutrosophic and Plithogenic Memetic Algorithms
    33. Neutrosophic and Plithogenic Genetic Algorithms
    34. Plithogenic Set and its Applications
    35. Plithogenic Logic and its Applications
    36. Plithogenic Probability and its Optimization Applications
    37. Neutrosophic and Plithogenic Time Series Prediction

Product details

  • No. of pages: 446
  • Language: English
  • Copyright: © Academic Press 2020
  • Published: January 14, 2020
  • Imprint: Academic Press
  • Paperback ISBN: 9780128196700
  • eBook ISBN: 9780128199084

About the Editors

Florentin Smarandache

Prof. Dr. Florentin Smarandache is a professor of mathematics at the University of New Mexico, United states. He is the founder of neutrosophy (generalization of dialectics), neutrosophic set, neutrosophic logic, neutrosophic probability and neutrosophic statistics since 1995 and has published hundreds of papers and books on multispace and multistructure, hypersoft set, degree of dependence and independence between neutrosophic components, refined neutrosophic set, neutrosophic over-under-off-set, plithogenic set, neutrosophic triplet and duplet structures, quadruple neutrosophic structures, extension of algebraic structures to NeutroAlgebras and AntiAlgebras, Dezert Smarandache Theory and so on to many peer-reviewed international journals and many books and he presented papers and plenary lectures to many international conferences around the world.

Affiliations and Expertise

Professor, Mathematics and Science Division, University of New Mexico, Gallup, USA

Mohamed Abdel-Basset

Dr. Mohamed Abdel-Basset is Associate Professor and Head of the Department of Computer Science, within the Faculty of Computers and Informatics, at Zagazig University, Egypt. He received his B.Sc., M.Sc and Ph.D in operations research at the Faculty of Computers and Informatics, Zagazig University. Dr. Abdel-Basset’s research interests are in Optimization, Operations Research, Data Mining, Computational Intelligence, Applied Statistics, Decision Support Systems, Robust Optimization, Engineering Optimization, Multiobjective Optimization, Swarm Intelligence, Evolutionary Algorithms, and Artificial Neural Networks. He is currently working on the application of multi-objective and robust meta-heuristic optimization techniques. Dr. Abdel-Basset is an Editor or Reviewer for several international journals and conferences, and has published more than 100 articles in international journals and conference proceedings.

Affiliations and Expertise

Associate Professor, Faculty of Computers and Informatics, Zagazig University, Egypt

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