# Optimization Theory Based on Neutrosophic and Plithogenic Sets

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## Optimization Theory Based on Neutrosophic and Plithogenic Sets

Author | : Florentin Smarandache,Mohamed Abdel-Basset |

Publsiher | : Academic Press |

Total Pages | : 446 |

Release | : 2020-01-14 |

ISBN 10 | : 0128199083 |

ISBN 13 | : 9780128199084 |

Language | : EN, FR, DE, ES & NL |

**Optimization Theory Based on Neutrosophic and Plithogenic Sets Book Review:**

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. 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

## Soft Subring Theory Under Interval valued Neutrosophic Environment

Author | : Sudipta Gayen,Florentin Smarandache,Sripati Jha,Manoranjan Kumar Singh,Said Broumi,Ranjan Kumar |

Publsiher | : Infinite Study |

Total Pages | : 27 |

Release | : 2020-10-01 |

ISBN 10 | : |

ISBN 13 | : |

Language | : EN, FR, DE, ES & NL |

**Soft Subring Theory Under Interval valued Neutrosophic Environment Book Review:**

The primary goal of this article is to establish and investigate the idea of interval-valued neutrosophic soft subring. Again, we have introduced function under interval-valued neutrosophic soft environment and investigated some of its homomorphic attributes. Additionally, we have established product of two intervalvalued neutrosophic soft subrings and analyzed some of its fundamental attributes. Furthermore, we have presented the notion of interval-valued neutrosophic normal soft subring and investigated some of its algebraic properties and homomorphic attributes.

## Neutrosophic Operational Research Vol I

Author | : Florentin Smarandache ,Mohamed Abdel-Basset,Yongquan Zhou |

Publsiher | : Infinite Study |

Total Pages | : 329 |

Release | : 2021 |

ISBN 10 | : 1599735202 |

ISBN 13 | : 9781599735207 |

Language | : EN, FR, DE, ES & NL |

**Neutrosophic Operational Research Vol I Book Review:**

This book treats all kind of data in neutrosophic environment, with real-life applications, approaching topics as linear programming problem, linear fractional programming, integer programming, triangular neutrosophic numbers, single valued triangular neutrosophic number, neutrosophic optimization, goal programming problem, Taylor series, multi-objective programming problem, neutrosophic geometric programming, neutrosophic topology, neutrosophic open set, neutrosophic semi-open set, neutrosophic continuous function, cylindrical skin plate design, neutrosophic MULTIMOORA, alternative solutions, decision matrix, ratio system, reference point method, full multiplicative form, ordinal dominance, standard error, market research, and so on. The selected papers deal with the alleviation of world changes, including changing demographics, accelerating globalization, rising environmental concerns, evolving societal relationships, growing ethical and governance concern, expanding the impact of technology; some of these changes have impacted negatively the economic growth of private firms, governments, communities, and the whole society.

## Neutrosophic Sets and Systems

Author | : Florentin Smarandache,Surapati Pramanik |

Publsiher | : Infinite Study |

Total Pages | : 133 |

Release | : 2021 |

ISBN 10 | : |

ISBN 13 | : |

Language | : EN, FR, DE, ES & NL |

**Neutrosophic Sets and Systems Book Review:**

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

## A Refined Approach for Forecasting Based on Neutrosophic Time Series

Author | : Mohamed Abdel-Basset ,Victor Chang,Mai Mohamed,Florentin Smarandache |

Publsiher | : Infinite Study |

Total Pages | : 23 |

Release | : 2021 |

ISBN 10 | : |

ISBN 13 | : |

Language | : EN, FR, DE, ES & NL |

**A Refined Approach for Forecasting Based on Neutrosophic Time Series Book Review:**

This research introduces a neutrosophic forecasting approach based on neutrosophic time series (NTS). Historical data can be transformed into neutrosophic time series data to determine their truth, indeterminacy and falsity functions. The basis for the neutrosophication process is the score and accuracy functions of historical data. In addition, neutrosophic logical relationship groups (NLRGs) are determined and a deneutrosophication method for NTS is presented. The objective of this research is to suggest an idea of first-and high-order NTS. By comparing our approach with other approaches, we conclude that the suggested approach of forecasting gets better results compared to the other existing approaches of fuzzy, intuitionistic fuzzy, and neutrosophic time series.

## Neutrosophic Graph Theory and Algorithms

Author | : Smarandache, Florentin,Broumi, Said |

Publsiher | : IGI Global |

Total Pages | : 406 |

Release | : 2019-10-25 |

ISBN 10 | : 1799813150 |

ISBN 13 | : 9781799813156 |

Language | : EN, FR, DE, ES & NL |

**Neutrosophic Graph Theory and Algorithms Book Review:**

Graph theory is a specific concept that has numerous applications throughout many industries. Despite the advancement of this technique, graph theory can still yield ambiguous and imprecise results. In order to cut down on these indeterminate factors, neutrosophic logic has emerged as an applicable solution that is gaining significant attention in solving many real-life decision-making problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistency, and indeterminacy. However, empirical research on this specific graph set is lacking. Neutrosophic Graph Theory and Algorithms is a collection of innovative research on the methods and applications of neutrosophic sets and logic within various fields including systems analysis, economics, and transportation. While highlighting topics including linear programming, decision-making methods, and homomorphism, this book is ideally designed for programmers, researchers, data scientists, mathematicians, designers, educators, researchers, academicians, and students seeking current research on the various methods and applications of graph theory.

## Neutrosophy

Author | : Florentin Smarandache |

Publsiher | : Unknown |

Total Pages | : 105 |

Release | : 1998 |

ISBN 10 | : |

ISBN 13 | : STANFORD:36105112484626 |

Language | : EN, FR, DE, ES & NL |

**Neutrosophy Book Review:**

## Neutrosophic Optimization Model and Computational Algorithm for Optimal Shale Gas Water Management under Uncertainty

Author | : Firoz Ahmad ,Ahmad Yusuf Adhami,Florentin Smarandache |

Publsiher | : Infinite Study |

Total Pages | : 34 |

Release | : 2021 |

ISBN 10 | : |

ISBN 13 | : |

Language | : EN, FR, DE, ES & NL |

**Neutrosophic Optimization Model and Computational Algorithm for Optimal Shale Gas Water Management under Uncertainty Book Review:**

Shale gas energy is the most prominent and dominating source of power across the globe. The processes for the extraction of shale gas from shale rocks are very complex. In this study, a multi objective optimization framework is presented for an overall water management system that includes the allocation of freshwater for hydraulic fracturing and optimal management of the resulting wastewater with different techniques. The generated wastewater from the shale fracking process contains highly toxic chemicals. The optimal control of a massive amount of contaminated water is quite a challenging task.

## IoT and Its Impact on the Electronics Market A Powerful Decision Support System for Helping Customers in Choosing the Best Product

Author | : Mohamed Abdel-Basset ,Mai Mohamed,Victor Chang,Florentin Smarandache |

Publsiher | : Infinite Study |

Total Pages | : 21 |

Release | : 2021 |

ISBN 10 | : |

ISBN 13 | : |

Language | : EN, FR, DE, ES & NL |

**IoT and Its Impact on the Electronics Market A Powerful Decision Support System for Helping Customers in Choosing the Best Product Book Review:**

Many companies have observed the significant benefits they can get via using internet. Since then, large companies have been able to develop business transactions with customers at anytime, anywhere, and in relation to anything, so that we now need a more comprehensive concept than the internet. This concept is the Internet of Things (IoT). IoT will influence decision making style in various phases of selling, buying and marketing process.

## A novel method for solving the fully neutrosophic linear programming problems

Author | : Mohamed Abdel-Basset,M. Gunasekaran,Mai Mohamed,Florentin Smarandache |

Publsiher | : Infinite Study |

Total Pages | : 11 |

Release | : 2021 |

ISBN 10 | : |

ISBN 13 | : |

Language | : EN, FR, DE, ES & NL |

**A novel method for solving the fully neutrosophic linear programming problems Book Review:**

The most widely used technique for solving and optimizing a real-life problem is linear programming (LP), due to its implicity and efficiency. However, in order to handle the impreciseness in the data, the neutrosophic set theory plays a vital role which makes a simulation of the decision-making process of humans by considering all aspects of decision (i.e., agree, not sure and disagree).

## A Unifying Field in Logics Neutrosophic Logic Neutrosophy Neutrosophic Set Neutrosophic Probability fourth edition

Author | : Florentin Smarandache |

Publsiher | : Infinite Study |

Total Pages | : 329 |

Release | : 2005 |

ISBN 10 | : 1599730804 |

ISBN 13 | : 9781599730806 |

Language | : EN, FR, DE, ES & NL |

**A Unifying Field in Logics Neutrosophic Logic Neutrosophy Neutrosophic Set Neutrosophic Probability fourth edition Book Review:**

N-Norm and N-conorm are extended in Neutrosophic Logic/Set.

## Neutrosophic Graphs A New Dimension to Graph Theory

Author | : Vasantha Kandasamy, Ilanthenral K,Florentin Smarandache |

Publsiher | : Infinite Study |

Total Pages | : 329 |

Release | : 2021 |

ISBN 10 | : 1599733625 |

ISBN 13 | : 9781599733623 |

Language | : EN, FR, DE, ES & NL |

**Neutrosophic Graphs A New Dimension to Graph Theory Book Review:**

Studies to neutrosophic graphs happens to be not only innovative and interesting, but gives a new dimension to graph theory. The classic coloring of edge problem happens to give various results. Neutrosophic tree will certainly find lots of applications in data mining when certain levels of indeterminacy is involved in the problem. Several open problems are suggested.

## Introduction to Neutrosophic Statistics

Author | : Florentin Smarandache |

Publsiher | : Infinite Study |

Total Pages | : 123 |

Release | : 2014 |

ISBN 10 | : 1599732742 |

ISBN 13 | : 9781599732749 |

Language | : EN, FR, DE, ES & NL |

**Introduction to Neutrosophic Statistics Book Review:**

Neutrosophic Statistics means statistical analysis of population or sample that has indeterminate (imprecise, ambiguous, vague, incomplete, unknown) data. For example, the population or sample size might not be exactly determinate because of some individuals that partially belong to the population or sample, and partially they do not belong, or individuals whose appurtenance is completely unknown. Also, there are population or sample individuals whose data could be indeterminate. In this book, we develop the 1995 notion of neutrosophic statistics. We present various practical examples. It is possible to define the neutrosophic statistics in many ways, because there are various types of indeterminacies, depending on the problem to solve.

## A Hybrid Plithogenic Decision Making Approach with Quality Function Deployment for Selecting Supply Chain Sustainability Metrics

Author | : Mohamed Abdel-Basset ,Rehab Mohamed,Abd El-Nasser H. Zaied,Florentin Smarandache |

Publsiher | : Infinite Study |

Total Pages | : 21 |

Release | : 2021 |

ISBN 10 | : |

ISBN 13 | : |

Language | : EN, FR, DE, ES & NL |

**A Hybrid Plithogenic Decision Making Approach with Quality Function Deployment for Selecting Supply Chain Sustainability Metrics Book Review:**

Supply chain sustainability has become one of the most attractive decision management topics. There are many articles that have focused on this field presenting many different points of view. This research is centred on the evaluation of supply chain sustainability based on two critical dimensions. The first is the importance of evaluation metrics based on economic, environmental and social aspects, and the second is the degree of diffculty of information gathering. This paper aims to increase the accuracy of the evaluation.

## On Neutrosophic Vague Graphs

Author | : S. Satham Hussain ,R. Jahir Hussain ,Florentin Smarandache |

Publsiher | : Infinite Study |

Total Pages | : 14 |

Release | : 2021 |

ISBN 10 | : |

ISBN 13 | : |

Language | : EN, FR, DE, ES & NL |

**On Neutrosophic Vague Graphs Book Review:**

In this work, the new concept of neutrosophic vague graphs are introduced form the ideas of neutrosophic vague sets. Moreover, some remarkable properties of strong neutrosophic vague graphs, complete neutrosophic vague graphs and self-complementary neutrosophic vague graphs are investigated and the proposed concepts are described with suitable examples.

## Neutrosophic Set in Medical Image Analysis

Author | : Yanhui Guo,Amira S. Ashour |

Publsiher | : Academic Press |

Total Pages | : 370 |

Release | : 2019-08-08 |

ISBN 10 | : 0128181494 |

ISBN 13 | : 9780128181492 |

Language | : EN, FR, DE, ES & NL |

**Neutrosophic Set in Medical Image Analysis Book Review:**

Neutrosophic Set in Medical Image Analysis gives an understanding of the concepts of NS, along with knowledge on how to gather, interpret, analyze and handle medical images using NS methods. It presents the latest cutting-edge research that gives insight into neutrosophic set’s novel techniques, strategies and challenges, showing how it can be used in biomedical diagnoses systems. The neutrosophic set (NS), which is a generalization of fuzzy set, offers the prospect of overcoming the restrictions of fuzzy-based approaches to medical image analysis. Introduces the mathematical model and concepts of neutrosophic theory and methods Highlights the different techniques of neutrosophic theory, focusing on applying the neutrosophic set in image analysis to support computer- aided diagnosis (CAD) systems, including approaches from soft computing and machine learning Shows how NS techniques can be applied to medical image denoising, segmentation and classification Provides challenges and future directions in neutrosophic set based medical image analysis

## Fuzzy Sets Fuzzy Logic and Their Applications

Author | : Michael Gr. Voskoglou |

Publsiher | : MDPI |

Total Pages | : 366 |

Release | : 2020-03-25 |

ISBN 10 | : 3039285203 |

ISBN 13 | : 9783039285204 |

Language | : EN, FR, DE, ES & NL |

**Fuzzy Sets Fuzzy Logic and Their Applications Book Review:**

The present book contains 20 articles collected from amongst the 53 total submitted manuscripts for the Special Issue “Fuzzy Sets, Fuzzy Loigic and Their Applications” of the MDPI journal Mathematics. The articles, which appear in the book in the series in which they were accepted, published in Volumes 7 (2019) and 8 (2020) of the journal, cover a wide range of topics connected to the theory and applications of fuzzy systems and their extensions and generalizations. This range includes, among others, management of the uncertainty in a fuzzy environment; fuzzy assessment methods of human-machine performance; fuzzy graphs; fuzzy topological and convergence spaces; bipolar fuzzy relations; type-2 fuzzy; and intuitionistic, interval-valued, complex, picture, and Pythagorean fuzzy sets, soft sets and algebras, etc. The applications presented are oriented to finance, fuzzy analytic hierarchy, green supply chain industries, smart health practice, and hotel selection. This wide range of topics makes the book interesting for all those working in the wider area of Fuzzy sets and systems and of fuzzy logic and for those who have the proper mathematical background who wish to become familiar with recent advances in fuzzy mathematics, which has entered to almost all sectors of human life and activity.

## A novel group decision making model based on neutrosophic sets for heart disease diagnosis

Author | : Mohamed Abdel-Basset,Abduallah Gamal,Gunasekaran Manogaran,Le Hoang Son,Hoang Viet Long |

Publsiher | : Infinite Study |

Total Pages | : 27 |

Release | : 2021 |

ISBN 10 | : |

ISBN 13 | : |

Language | : EN, FR, DE, ES & NL |

**A novel group decision making model based on neutrosophic sets for heart disease diagnosis Book Review:**

In a developed society, people have more concerned about their health. Thus, improvement of medical field application has been one of the greatest active study areas. Medical statistics show that heart disease is the main reason for morbidity and death in the world. The physician’s job is difficult because of having too many factors to analyze in the diagnosis of heart disease. Besides, data and information gained by the physician for diagnosis are often partial and immersed. Recently, health care applications with the Internet of Things (IoT) have offered different dimensions and other online services.

## Generalization of Maximizing Deviation and TOPSIS Method for MADM in Simplified Neutrosophic Hesitant Fuzzy Environment

Author | : Muhammad Akram ,Sumera Naz,Florentin Smarandache |

Publsiher | : Infinite Study |

Total Pages | : 26 |

Release | : 2021 |

ISBN 10 | : |

ISBN 13 | : |

Language | : EN, FR, DE, ES & NL |

**Generalization of Maximizing Deviation and TOPSIS Method for MADM in Simplified Neutrosophic Hesitant Fuzzy Environment Book Review:**

With the development of the social economy and enlarged volume of information, the application of multiple-attribute decision-making (MADM) has become increasingly complex, uncertain, and obscure. As a further generalization of hesitant fuzzy set (HFS), simplified neutrosophic hesitant fuzzy set (SNHFS) is an efficient tool to process the vague information and contains the ideas of a single-valued neutrosophic hesitant fuzzy set (SVNHFS) and an interval neutrosophic hesitant fuzzy set (INHFS). In this paper, we propose a decision-making approach based on the maximizing deviation method and TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) to solve the MADM problems, in which the attribute weight information is incomplete, and the decision information is expressed in simplified neutrosophic hesitant fuzzy elements. Firstly, we inaugurate an optimization model on the basis of maximizing deviation method, which is useful to determine the attribute weights. Secondly, using the idea of the TOPSIS, we determine the relative closeness coefficient of each alternative and based on which we rank the considered alternatives to select the optimal one(s). Finally, we use a numerical example to show the detailed implementation procedure and effectiveness of our method in solvingMADMproblems under simplified neutrosophic hesitant fuzzy environment.

## Customer Oriented Product Design

Author | : Cengiz Kahraman,Selcuk Cebi |

Publsiher | : Springer Nature |

Total Pages | : 481 |

Release | : 2020-03-19 |

ISBN 10 | : 3030421880 |

ISBN 13 | : 9783030421885 |

Language | : EN, FR, DE, ES & NL |

**Customer Oriented Product Design Book Review:**

This book offers a comprehensive reference guide to customer-oriented product design and intelligence. It provides readers with the necessary intelligent tools for designing customer-oriented products in contexts characterized by incomplete information or insufficient data, where classical product design approaches cannot be applied. The respective chapters, written by prominent researchers, explain a wealth of both basic and advanced concepts including fuzzy QFD, fuzzy FMEA, the fuzzy Kano model, fuzzy axiomatic design, fuzzy heuristics-based design, conjoint analysis-based design, and many others. To foster reader comprehension, all chapters include relevant numerical examples or case studies. Taken together, they form an excellent reference guide for researchers, lecturers, and postgraduate students pursuing research on customer-oriented product design. Moreover, by extending all the main aspects of classical customer-oriented product design to its intelligent and fuzzy counterparts, the book presents a dynamic snapshot of the field that is expected to stimulate new directions, ideas, and developments.