Optimization Theory Based on Neutrosophic and Plithogenic Sets

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: 0128199083
Category: Mathematics
Language: EN, FR, DE, ES & NL

Optimization Theory Based on Neutrosophic and Plithogenic Sets Book Excerpt:

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

Neutrosophic Sets and Systems Vol 47 2021

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: 1928374650XXX
Category: Antiques & Collectibles
Language: EN, FR, DE, ES & NL

Neutrosophic Sets and Systems Vol 47 2021 Book Excerpt:

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

Neutrosophic Sets and Systems Vol 38 2020

Neutrosophic Sets and Systems  Vol  38  2020
Author: Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Publsiher: Infinite Study
Total Pages: 662
Release: 2022
ISBN: 1928374650XXX
Category: Mathematics
Language: EN, FR, DE, ES & NL

Neutrosophic Sets and Systems Vol 38 2020 Book Excerpt:

“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

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: 1928374650XXX
Category: Mathematics
Language: EN, FR, DE, ES & NL

Soft Subring Theory Under Interval valued Neutrosophic Environment Book Excerpt:

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

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: 1928374650XXX
Category: Antiques & Collectibles
Language: EN, FR, DE, ES & NL

Practical Applications of the Independent Neutrosophic Components and of the Neutrosophic Offset Components Book Excerpt:

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]).

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

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: 1928374650XXX
Category: Mathematics
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 Excerpt:

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.

Convex and Concave Hypersoft Sets with Some Properties

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: 1928374650XXX
Category: Mathematics
Language: EN, FR, DE, ES & NL

Convex and Concave Hypersoft Sets with Some Properties Book Excerpt:

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.

International Journal of Neutrosophic Science IJNS Volume 10 2020

International Journal of Neutrosophic Science  IJNS  Volume 10  2020
Author: Broumi Said, Florentin Smarandache
Publsiher: Infinite Study
Total Pages: 126
Release: 2022
ISBN: 1928374650XXX
Category: Mathematics
Language: EN, FR, DE, ES & NL

International Journal of Neutrosophic Science IJNS Volume 10 2020 Book Excerpt:

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.

Neutrosophic Sets and Systems Vol 40 2021

Neutrosophic Sets and Systems  Vol  40  2021
Author: Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Publsiher: Infinite Study
Total Pages: 279
Release: 2022
ISBN: 1928374650XXX
Category: Mathematics
Language: EN, FR, DE, ES & NL

Neutrosophic Sets and Systems Vol 40 2021 Book Excerpt:

“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 Book Series Vol 32 2020 An International Book Series in Information Science and Engineering

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: 1928374650XXX
Category: Mathematics
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 Excerpt:

“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 Book Series Vol 35 2020 An International Book Series in Information Science and Engineering

Neutrosophic Sets and Systems  Book Series  Vol  35  2020  An International Book Series in Information Science and Engineering
Author: Florentin Smarandache,Mohamed Abdel-Basset
Publsiher: Infinite Study
Total Pages: 583
Release: 2022
ISBN: 1928374650XXX
Category: Mathematics
Language: EN, FR, DE, ES & NL

Neutrosophic Sets and Systems Book Series Vol 35 2020 An International Book Series in Information Science and Engineering Book Excerpt:

Contributors to current issue (listed in papers’ order): Ibrahim Yasser, Abeer Twakol, A. A. Abd El-Khalek, A. A. Salama, Ahmed Sharaf Al-Din, Issam Abu Al-Qasim, Rafif Alhabib, Magdy Badran, Remya P. B, Francina Shalini, Masoud Ghods, Zahra Rostami, A. Sahaya Sudha, Luiz Flavio Autran Monteiro Gomes, K.R. Vijayalakshmi, Prakasam Muralikrishna, Surya Manokaran, Nidhi Singh, Avishek Chakraborty, Soma Bose Biswas, Malini Majumdar, Rakhal Das, Binod Chandra Tripathy, Nidhi Singh, Avishek Chakraborty, Nilabhra Paul, Deepshikha Sarma, Akash Singh, Uttam Kumar Bera, Fatimah M. Mohammed, Sarah W. Raheem, Muhammad Riaz, Florentin Smarandache, Faruk Karaaslan, Masooma Raza Hashmi, Iqra Nawaz, Kousik Das, Sovan Samanta, Kajal De, Xavier Encarnacion, Nivetha Martin, I. Pradeepa, N. Ramila Gandhi, P. Pandiammal, Aiman Muzaffar, Md Tabrez Nafis, Shahab Saquib Sohail, Abhijit Saha, Jhulaneswar Baidya, Debjit Dutta, Irfan Deli, Said Broumi, Mohsin Khalid, Neha Andaleeb Khalid, Md. Hanif Page, Qays Hatem Imran, Shilpi Pal, S. Satham Hussain, Saeid Jafari, N. Durga, Hanieh Shambayati, Mohsen Shafiei Nikabadi, Seyed Mohammad, Ali Khatami Firouzabadi, Mohammad Rahmanimanesh, Mujahid Abbas, Ghulam Murtaza, K. Porselvi, B. Elavarasan, Y. B. Jun, Chinnadurai V, Sindhu M P, K.Radhika, K. Arun Prakash, Malayalan Lathamaheswari, Ruipu Tan, Deivanayagampillai Nagarajan, Talea Mohamed, Assia Bakali, Nivetha Martin, R. Dhavaseelan, Ali Hussein Mahmood Al-Obaidi, Suman Das, Surapati Pramanik, Madad Khan, Muhammad Zeeshan, Saima Anis, Abdul Sami Awan, M. Sarwar Sindhu, Tabasam Rashid, Agha Kashif, Rajesh Kumar Saini, Atul Sangal, Manisha.

Neutrosophic Sets and Systems Book Series Vol 33 2020 An International Book Series in Information Science and Engineering

Neutrosophic Sets and Systems  Book Series  Vol  33  2020  An International Book Series in Information Science and Engineering
Author: Florentin Smarandache,Mohamed Abdel-Basset
Publsiher: Infinite Study
Total Pages: 341
Release: 2022
ISBN: 1928374650XXX
Category: Mathematics
Language: EN, FR, DE, ES & NL

Neutrosophic Sets and Systems Book Series Vol 33 2020 An International Book Series in Information Science and Engineering Book Excerpt:

Contributors to current issue (listed in papers’ order): Atena Tahmasbpour Meikola, Arif Mehmood, Wadood Ullah, Said Broumi, Muhammad Imran Khan, Humera Qureshi, Muhammad Ibrar Abbas, Humaira Kalsoom, Fawad Nadeem, T. Chalapathi, L. Madhavi, R. Suresh, S. Palaniammal, Nivetha Martin, Florentin Smarandache, S. A. Edalatpanah, Rafif Alhabib, A. A. Salama, Memet Şahin, Abdullah Kargın, Murat Yücel, Dimacha Dwibrang Mwchahary, Bhimraj Basumatary, R. S. Alghamdi, N. O. Alshehri, Shigui Du, Rui Yong, Jun Ye, Vasantha Kandasamy, Ilanthenral Kandasamy, Muhammad Saeed, Muhammad Saqlain, Asad Mehmood, Khushbakht Naseer, Sonia Yaqoob, Sudipta Gayen, Sripati Jha, Manoranjan Kumar Singh, Ranjan Kumar, Huseyin Kamaci, Shawkat Alkhazaleh, Anas Al-Masarwah, Abd Ghafur Ahmad, Merve Sena Uz, Akbar Rezaei, Mohamed Grida, Rehab Mohamed, Abdelnaser H. Zaid.

Neutrosophic Sets and Systems Vol 35 2020

Neutrosophic Sets and Systems  Vol  35  2020
Author: Florentin Smarandache, Mohamed Abdel-Basset
Publsiher: Infinite Study
Total Pages: 596
Release: 2022
ISBN: 1928374650XXX
Category: Mathematics
Language: EN, FR, DE, ES & NL

Neutrosophic Sets and Systems Vol 35 2020 Book Excerpt:

“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.

Introduction to Plithogenic Logic as generalization of MultiVariate Logic

Introduction to Plithogenic Logic as generalization of MultiVariate Logic
Author: Florentin Smarandache
Publsiher: Infinite Study
Total Pages: 7
Release: 2021-09-20
ISBN: 1928374650XXX
Category: Antiques & Collectibles
Language: EN, FR, DE, ES & NL

Introduction to Plithogenic Logic as generalization of MultiVariate Logic Book Excerpt:

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 32 2020

Neutrosophic Sets and Systems  Vol  32  2020
Author: Florentin Smarandache,Mohamed Abdel-Basset
Publsiher: Infinite Study
Total Pages: 454
Release: 2022
ISBN: 1928374650XXX
Category: Mathematics
Language: EN, FR, DE, ES & NL

Neutrosophic Sets and Systems Vol 32 2020 Book Excerpt:

“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 Operational Research

Neutrosophic Operational Research
Author: Florentin Smarandache,Mohamed Abdel-Basset
Publsiher: Springer Nature
Total Pages: 634
Release: 2021-09-09
ISBN: 3030571971
Category: Business & Economics
Language: EN, FR, DE, ES & NL

Neutrosophic Operational Research Book Excerpt:

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 Vol 39 2021

Neutrosophic Sets and Systems  Vol  39  2021
Author: Florentin Smarandache ,Mohamed Abdel-Basset,Said Broumi
Publsiher: Infinite Study
Total Pages: 173
Release: 2022
ISBN: 1928374650XXX
Category: Mathematics
Language: EN, FR, DE, ES & NL

Neutrosophic Sets and Systems Vol 39 2021 Book Excerpt:

“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

Neutrosophic Topological Spaces
Author: Murad Arar,Saeid Jafari
Publsiher: Infinite Study
Total Pages: 16
Release: 2020-12-01
ISBN: 1928374650XXX
Category: Mathematics
Language: EN, FR, DE, ES & NL

Neutrosophic Topological Spaces Book Excerpt:

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 bg closed Sets and its Continuity

Neutrosophic bg closed Sets and its Continuity
Author: C.Maheswari,S. Chandrasekar
Publsiher: Infinite Study
Total Pages: 13
Release: 2022
ISBN: 1928374650XXX
Category: Mathematics
Language: EN, FR, DE, ES & NL

Neutrosophic bg closed Sets and its Continuity Book Excerpt:

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 36 2020

Neutrosophic Sets and Systems  Vol  36  2020
Author: Florentin Smarandache,Mohamed Abdel-Basset
Publsiher: Infinite Study
Total Pages: 410
Release: 2022
ISBN: 1928374650XXX
Category: Mathematics
Language: EN, FR, DE, ES & NL

Neutrosophic Sets and Systems Vol 36 2020 Book Excerpt:

“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: n-Refined Neutrosophic Modules, A Neutrosophic Approach to Digital Images, A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number.