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Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets

  • Book
  • © 2019

Overview

Editors:
  1. Cengiz Kahraman

    1. Department of Industrial Engineering, Istanbul Technical University, Macka, Turkey

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    You can also search for this editor in PubMed   Google Scholar

  2. İrem Otay

    1. Department of Industrial Engineering, Istanbul Okan University, Akfirat-Tuzla, Turkey

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Offers a timely guide to neutrosophic theory and applications
  • Shows how to combine neutrosophic sets with existing multicriteria decision making methods
  • Includes explanatory examples and a detailed description of case-studies

Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 369)

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Table of contents (27 chapters)

  1. Front Matter

    Pages i-xv
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  2. Introduction to Neutrosophic Sets

    1. Front Matter

      Pages 1-1
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    2. A State-of-the-Art Review of Neutrosophic Sets and Theory

      • İrem Otay, Cengiz Kahraman
      Pages 3-24

    3. Arithmetic Operations of Neutrosophic Sets, Interval Neutrosophic Sets and Rough Neutrosophic Sets

      • Florentin Smarandache, Mumtaz Ali, Mohsin Khan
      Pages 25-42

  3. Fundamentals of Neutrosophic Set Theory

    1. Front Matter

      Pages 43-43
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    2. Power Harmonic Weighted Aggregation Operator on Single-Valued Trapezoidal Neutrosophic Numbers and Interval-Valued Neutrosophic Sets

      • Janani Bharatraj, M. Clement Joe Anand
      Pages 45-62

    3. Linear and Non-linear Neutrosophic Numbers

      • Sankar Prasad Mondal, Syed Abou Iltaf Hussain, Binayak Sen, Uttam Kumar Mandal
      Pages 63-78

    4. Rough Neutrosophic Aggregation Operators for Multi-criteria Decision-Making

      • Kalyan Mondal, Surapati Pramanik, Bibhas C. Giri
      Pages 79-105

    5. On Single Valued Neutrosophic Refined Rough Set Model and Its Application

      • Yan-Ling Bao, Hai-Long Yang
      Pages 107-143

    6. Bipolar Neutrosophic Graphs

      • Muhammad Akram, Gulfam Shahzadi
      Pages 145-171

    7. Properties of Interval-Valued Neutrosophic Graphs

      • Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Prem Kumar Singh
      Pages 173-202

    8. Laplacian Energy of a Complex Neutrosophic Graph

      • Mohsin Khan, Sadaf Umar, Said Broumi
      Pages 203-232

    9. Matrix Games with Simplified Neutrosophic Payoffs

      • Irfan Deli
      Pages 233-246

  4. Preliminaries for Neutrosophic Multi-criteria Decision Making

    1. Front Matter

      Pages 247-247
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    2. Similarity Measures in Neutrosophic Sets-I

      • R. Chatterjee, P. Majumdar, S. K. Samanta
      Pages 249-294

    3. Similarity Measures in Neutrosophic Sets-II

      • R. Chatterjee, P. Majumdar, S. K. Samanta
      Pages 295-325

    4. Correlation Coefficient of Neutrosophic Sets and Its Applications in Decision-Making

      • Faruk Karaaslan
      Pages 327-360

    5. A New Approach in Content-Based Image Retrieval Neutrosophic Domain

      • A. A. Salama, Mohamed Eisa, Hewayda ElGhawalby, A. E. Fawzy
      Pages 361-369

    6. Pareto Solution in Neutrosophic Set Setting for Multiple Criteria Decision Making Problems

      • Bui Cong Cuong
      Pages 371-415

    7. Three–Way Bipolar Neutrosophic Concept Lattice

      • Prem Kumar Singh
      Pages 417-432
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Keywords

About this book

This book offers a comprehensive guide to the use of neutrosophic sets in multiple criteria decision making problems. It shows how neutrosophic sets, which have been developed as an extension of fuzzy and paraconsistent logic, can help in dealing with certain types of uncertainty that classical methods could not cope with. The chapters, written by well-known researchers, report on cutting-edge methodologies they have been developing and testing on a variety of engineering problems. The book is unique in its kind as it reports for the first time and in a comprehensive manner on the joint use of neutrosophic sets together with existing decision making methods to solve multi-criteria decision-making problems, as well as other engineering problems that are complex, hard to model and/or include incomplete and vague data. By providing new ideas, suggestions and directions for the solution of complex problems in engineering and decision making, it represents an excellent guide for researchers, lecturers and postgraduate students pursuing research on neutrosophic decision making, and more in general in the area of industrial and management engineering.

Editors and Affiliations

  • Department of Industrial Engineering, Istanbul Technical University, Macka, Turkey

    Cengiz Kahraman

  • Department of Industrial Engineering, Istanbul Okan University, Akfirat-Tuzla, Turkey

    İrem Otay

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