# 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

## Introduction to Plithogenic Logic as generalization of MultiVariate Logic

Author | : Florentin Smarandache |

Publsiher | : Infinite Study |

Total Pages | : 7 |

Release | : 2021-09-20 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : 9182736450XXX |

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

**Introduction to Plithogenic Logic as generalization of MultiVariate Logic Book Review:**

A Plithogenic Logical proposition P is a proposition that is characterized by many degrees of truth-values with respect to many corresponding attribute-values (or random variables) that characterize P. Each degree of truth-value may be classical, fuzzy, intuitionistic fuzzy, neutrosophic, or other fuzzy extension type logic. At the end, a cumulative truth of P is computed.

## Neutrosophic Sets and Systems Vol 47 2021

Author | : Florentin Smarandache,Mohamed Abdel-Basser,Said Broumi |

Publsiher | : Infinite Study |

Total Pages | : 652 |

Release | : 2021-12-30 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : 9182736450XXX |

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

**Neutrosophic Sets and Systems Vol 47 2021 Book Review:**

Papers on neutrosophic statistics, neutrosophic probability, plithogenic set, paradoxism, neutrosophic set, NeutroAlgebra, etc. and their applications.

## Neutrosophic Sets and Systems Vol 38 2020

Author | : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi |

Publsiher | : Infinite Study |

Total Pages | : 662 |

Release | : 2022 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : 9182736450XXX |

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

**Neutrosophic Sets and Systems Vol 38 2020 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.

## 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 | : 1928374650XXX |

ISBN 13 | : 9182736450XXX |

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.

## Practical Applications of the Independent Neutrosophic Components and of the Neutrosophic Offset Components

Author | : Florentin Smarandache |

Publsiher | : Infinite Study |

Total Pages | : 15 |

Release | : 2021-12-20 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : 9182736450XXX |

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

**Practical Applications of the Independent Neutrosophic Components and of the Neutrosophic Offset Components Book Review:**

The newly introduced theories, proposed as extensions of the fuzzy theory, such as the Neutrosophic, Pythagorean, Spherical, Picture, Cubic theories, and their numerous hybrid forms, are criticized by the authors of [1]. In this paper we respond to their critics with respect to the neutrosophic theories and show that the DST, that they want to replace the A-IFS with, has many flaws. Their misunderstanding, with respect to the partial and total independence of the neutrosophic components, is that in the framework of the neutrosophic theories we deal with a MultiVariate Truth-Value (truth upon many independent random variables) as in our real-life world, not with a UniVariate Truth-Value (truth upon only one random variable) as they believe. About the membership degrees outside of the interval [0, 1], which are now in the arXiv and HAL mainstream, it is normal that somebody who over-works (works overtime) to have an over-membership (i.e., membership degree above 1) to be distinguished from those who do not work overtime (whose membership degree is between 0 and 1). And, similarly, a negative employee (that who does only damages to the company) to have a negative membership (i.e., membership degree below 0) in order to distinguish him from the positive employees (those whose membership degree is above 0). There are elementary practical applications in this paper that allow us to think out of box (in this case the box is the interval [0, 1]).

## International Journal of Neutrosophic Science IJNS Volume 10 2020

Author | : Broumi Said, Florentin Smarandache |

Publsiher | : Infinite Study |

Total Pages | : 126 |

Release | : 2022 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : 9182736450XXX |

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

**International Journal of Neutrosophic Science IJNS Volume 10 2020 Book Review:**

International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications. Papers concern with neutrosophic logic and mathematical structures in the neutrosophic setting. Besides providing emphasis on topics like artificial intelligence, pattern recognition, image processing, robotics, decision making, data analysis, data mining, applications of neutrosophic mathematical theories contributions to economics, finance, management, industries, electronics, and communications are promoted.

## Convex and Concave Hypersoft Sets with Some Properties

Author | : Atiqe Ur Rahman,Muhammad Saeed,Florentin Smarandache |

Publsiher | : Infinite Study |

Total Pages | : 12 |

Release | : 2020-12-01 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : 9182736450XXX |

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

**Convex and Concave Hypersoft Sets with Some Properties Book Review:**

Convexity plays an imperative role in optimization, pattern classiffication and recognition, image processing and many other relating topics in different fields of mathematical sciences like operation research, numerical analysis etc. The concept of soft sets was first formulated by Molodtsov as a completely new mathematical tool for solving problems dealing with uncertainties. Smarandache conceptualized hypersoft set as a generalization of soft set. Deli introduced the concept of convexity cum concavity on soft sets to cover above topics under uncertain scenario. In this study, a theoretic and analytical approach is employed to develop a conceptual framework of convexity concavity on hypersoft set which is generalized and more effective concept to deal with optimization relating problems.

## Neutrosophic Sets and Systems Vol 40 2021

Author | : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi |

Publsiher | : Infinite Study |

Total Pages | : 279 |

Release | : 2022 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : 9182736450XXX |

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

**Neutrosophic Sets and Systems Vol 40 2021 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.

## Neutrosophic Sets and Systems Vol 35 2020

Author | : Florentin Smarandache, Mohamed Abdel-Basset |

Publsiher | : Infinite Study |

Total Pages | : 596 |

Release | : 2022 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : 9182736450XXX |

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

**Neutrosophic Sets and Systems Vol 35 2020 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. Some articles in this issue: Neutrosophic Soft Fixed Points, Selection of Alternative under the Framework of Single-Valued Neutrosophic Sets, Application of Single Valued Trapezoidal Neutrosophic Numbers in Transportation Problem.

## A neutrosophic set based TLBO algorithm for the flexible job shop scheduling problem with routing flexibility and uncertain processing times

Author | : Liangliang Jin,Chaoyong Zhang,Xiaoyu Wen, Chengda Sun,Xinjiang Fei |

Publsiher | : Infinite Study |

Total Pages | : 21 |

Release | : 2022 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : 9182736450XXX |

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

**A neutrosophic set based TLBO algorithm for the flexible job shop scheduling problem with routing flexibility and uncertain processing times Book Review:**

Different with the plain flexible job-shop scheduling problem (FJSP), the FJSP with routing flexibility is more complex and it can be deemed as the integrated process planning and (job shop) scheduling (IPPS) problem, where the process planning and the job shop scheduling two important functions are considered as a whole and optimized simultaneously to utilize the flexibility in a flexible manufacturing system. Although, many novel meta-heuristics have been introduced to address this problem and corresponding fruitful results have been observed; the dilemma in real-life applications of resultant scheduling schemes stems from the uncertainty or the nondeterminacy in processing times, since the uncertainty in processing times will disturb the predefined scheduling scheme by influencing unfinished operations. As a result, the performance of the manufacturing system will also be deteriorated. Nevertheless, research on such issue has seldom been considered before. This research focuses on the modeling and optimization method of the IPPS problem with uncertain processing times. The neutrosophic set is first introduced to model uncertain processing times. Due to the complexity in the math model, we developed an improved teaching-learning-based optimization(TLBO) algorithm to capture more robust scheduling schemes.

## Neutrosophic Sets and Systems Vol 39 2021

Author | : Florentin Smarandache ,Mohamed Abdel-Basset,Said Broumi |

Publsiher | : Infinite Study |

Total Pages | : 173 |

Release | : 2022 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : 9182736450XXX |

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

**Neutrosophic Sets and Systems Vol 39 2021 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.

## Neutrosophic Topological Spaces

Author | : Murad Arar,Saeid Jafari |

Publsiher | : Infinite Study |

Total Pages | : 16 |

Release | : 2020-12-01 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : 9182736450XXX |

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

**Neutrosophic Topological Spaces Book Review:**

In this paper, the concept of neutrosophic topological spaces is introduced. We define and study the properties of neutrosophic open sets, closed sets, interior and closure. The set of all generalize neutrosophic pre-closed sets GNPC and the set of all neutrosophic open sets in a neutrosophic topological space can be considered as examples of generalized neutrosophic topological spaces.

## Neutrosophic Sets and Systems Vol 32 2020

Author | : Florentin Smarandache,Mohamed Abdel-Basset |

Publsiher | : Infinite Study |

Total Pages | : 454 |

Release | : 2022 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : 9182736450XXX |

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

**Neutrosophic Sets and Systems Vol 32 2020 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. Some articles in this issue: Parameter Reduction of Neutrosophic Soft Sets and Their Applications, Geometric Programming (NGP) Problems Subject to (⋁,.) Operator; the Minimum Solution, Ngpr Homeomorphism in Neutrosophic Topological Spaces, Generalized Neutrosophic Separation Axioms in Neutrosophic Soft Topological Spaces.

## Neutrosophic Sets and Systems Book Series Vol 32 2020 An International Book Series in Information Science and Engineering

Author | : Florentin Smarandache,Mohamed Abdel-Basset |

Publsiher | : Infinite Study |

Total Pages | : 452 |

Release | : 2022 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : 9182736450XXX |

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

**Neutrosophic Sets and Systems Book Series Vol 32 2020 An International Book Series in Information Science and Engineering Book Review:**

## Neutrosophic bg closed Sets and its Continuity

Author | : C.Maheswari,S. Chandrasekar |

Publsiher | : Infinite Study |

Total Pages | : 13 |

Release | : 2022 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : 9182736450XXX |

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

**Neutrosophic bg closed Sets and its Continuity Book Review:**

Smarandache introduced and developed the new concept of Neutrosophic set from the Intuitionistic fuzzy sets. A.A. Salama introduced Neutrosophic topological spaces by using the Neutrosophic crisp sets. Aim of this paper is we introduce and study the concepts Neutrosophic b generalized closed sets and Neutrosophic b generalized continuity in Neutrosophic topological spaces and its Properties are discussed details.

## Neutrosophic Sets and Systems Vol 43 2021

Author | : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi |

Publsiher | : Infinite Study |

Total Pages | : 311 |

Release | : 2022 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : 9182736450XXX |

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

**Neutrosophic Sets and Systems Vol 43 2021 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. In this issue: On Neutrosophic Crisp Sets and Neutrosophic Crisp Mathematical Morphology, New Results on Pythagorean Neutrosophic Open Sets in Pythagorean Neutrosophic Topological Spaces, Comparative Mathematical Model for Predicting of Financial Loans Default using Altman Z-Score and Neutrosophic AHP Methods.

## Plithogenic Graphs

Author | : W. B. Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache |

Publsiher | : Infinite Study |

Total Pages | : 296 |

Release | : 2022 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : 9182736450XXX |

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

**Plithogenic Graphs Book Review:**

The plithogenic set is a generalization of crisp, fuzzy, intuitionistic fuzzy, and Neutrosophic sets, it is a set whose elements are characterized by many attributes' values. This book gives some possible applications of plithogenic sets defined by Florentin Smarandache (2018). The authors have defined a new class of special type of graphs which can be applied for plithogenic models.

## Neutrosophic Operational Research

Author | : Florentin Smarandache,Mohamed Abdel-Basset |

Publsiher | : Springer Nature |

Total Pages | : 634 |

Release | : 2021-09-09 |

ISBN 10 | : 3030571971 |

ISBN 13 | : 9783030571979 |

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

**Neutrosophic Operational Research Book Review:**

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.

## Neutrosophic Sets and Systems An International Journal in Information Science and Engineering Vol 36 2020

Author | : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi |

Publsiher | : Infinite Study |

Total Pages | : 410 |

Release | : 2020-10-01 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : 9182736450XXX |

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

**Neutrosophic Sets and Systems An International Journal in Information Science and Engineering Vol 36 2020 Book Review:**

Neutrosophic Sets and Systems (NSS) is an academic journal, published quarterly online and on paper, that has been created for publications of advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics etc. and their applications in any field.