Neutrosophic Operational Research

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.

Auteur
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.

Contenu
Chapter 1. Neutrosophical Plant Hybridization in Decision-Making Problems.- Chapter 2. Multi-criteria Decision Making based on Quadripartitioned Neutrosophic Cross-Entropy.- Chapter 3. New entropy, similarity measures of interval valued neutrosphic sets and application in supplier selection.- Chapter 4. Control chart for monitoring variation using multiple dependent state sampling under neutrosophic statistics.- Chapter 5. Multi-criteria evaluation model based on single valued neutrosophic sets for blockchain technology in supply chain management.