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Optimization Theory Based On Neutrosophic And Plithogenic Sets

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Optimization Theory Based on Neutrosophic and Plithogenic Sets

Optimization Theory Based on Neutrosophic and Plithogenic Sets Book
Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Academic Press
Release : 2020-01-14
ISBN : 0128199083
Language : En, Es, Fr & De

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Book Description :

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

Soft Subring Theory Under Interval valued Neutrosophic Environment Book
Author : Sudipta Gayen,Florentin Smarandache,Sripati Jha,Manoranjan Kumar Singh,Said Broumi,Ranjan Kumar
Publisher : Infinite Study
Release : 2020-10-01
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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

Neutrosophic Sets and Systems  An International Journal in Information Science and Engineering  Vol  36  2020 Book
Author : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Publisher : Infinite Study
Release : 2020-10-01
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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.

Convex and Concave Hypersoft Sets with Some Properties

Convex and Concave Hypersoft Sets with Some Properties Book
Author : Atiqe Ur Rahman,Muhammad Saeed,Florentin Smarandache
Publisher : Infinite Study
Release : 2020-12-01
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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 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 Book
Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Infinite Study
Release : 2021-07-25
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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 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 Book
Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Infinite Study
Release : 2021-07-25
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

“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 Book
Author : Murad Arar,Saeid Jafari
Publisher : Infinite Study
Release : 2020-12-01
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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 Book
Author : C.Maheswari,S. Chandrasekar
Publisher : Infinite Study
Release : 2021-07-25
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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.

Single valued neutrosophic N soft set and intertemporal single valued neutrosophic N soft set to assess and pre assess the mental health of students amidst COVID 19

Single valued neutrosophic N soft set and intertemporal single valued neutrosophic N soft set to assess and pre assess the mental health of students amidst COVID 19 Book
Author : Chinnadurai Verappan,Bobin Albert
Publisher : Infinite Study
Release : 2020-12-01
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Stress binds everyone as we face uncertainty in our lives. So, it is notable that we experience anxiety during this coronavirus disease (COV ID − 19) pandemic context. When we try to handle stress for longer duration leads to chronic, and it can affect both physical and mental health. The scientific techniques to precisely pre-assess or assess mental health disorders are hardly available for the students. This paper intends to provide an explication to pre-assess or assess the mental health of the students amidst this pandemic. We present the notions of single-valued neutrosophic N-soft set (SV NNSS) and the quasi-hyperbolic discounting intertemporal single-valued neutrosophic N-soft set (QHDISV NNSS) to show the mental condition of the students.

Neutrosophic Nano Semi Frontier

Neutrosophic Nano Semi Frontier Book
Author : R. Vijayalakshmi,A. P. Mookambika
Publisher : Infinite Study
Release : 2020-10-01
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Smarandache presented and built up the new idea of Neutrosophic set from the Intuitionistic fuzzy sets. A.A. Salama presented Neutrosophic topological spaces by utilizing the Neutrosophic sets. M.L.Thivagar et al., created Nano topological spaces and Neutrosophic nano topological spaces. Point of this paper is we present and study the properties of Neutrosophic Nano semi frontier in Neutrosophic nano topological spaces and its portrayal are talked about subtleties.

On Neutrosophic Triplet quasi dislocated b metric space

On Neutrosophic Triplet quasi dislocated b metric space Book
Author : Anuradha,Seema Mehra
Publisher : Infinite Study
Release : 2020-12-01
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

The concept of neutrosophic triplet firstly introduced by F. Smarandache and M. Ali. This notion (neutrosophic triplet) is a group of three elements that satisfy certain properties with some binary operation. These neutrosophic triplets highly depends on the proposed binary operation. In this article, we make some observations concerning Neutrosophic triplet metric space (NTMS), Neutrosophic triplet partial metric space (NTPMS), Neutrosophic triplet-b-metric space (NT-b-MS) introduced by Sahin et al. and put our observation on the definitions defined in these articles. Moreover, inspired by Ur Rahaman and Sahin et al. further we define a new topological construction named as Neutrosophic Triplet quasi-dislocated b-metric space (NT-qdb-MS) and study some properties of NT-qdb-MS. Furthermore using this construction, we establish some fixed point theorems in the context of NT-qdb-MS using graph. For the validity of our results, we also provide an example.

NeutroAlgebra Theory Volume I

NeutroAlgebra Theory Volume I Book
Author : Florentin Smarandache,Memet Şahin,Derya Bakbak,Vakkas Uluçay,Abdullah Kargın
Publisher : Infinite Study
Release : 2021-06-21
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

A collection of papers from multiple authors. In 2019 and 2020 Smarandache [1, 2, 3, 4] generalized the classical Algebraic Structures to NeutroAlgebraic Structures (or NeutroAlgebras) {whose operations and axioms are partially true, partially indeterminate, and partially false} as extensions of Partial Algebra, and to AntiAlgebraic Structures (or AntiAlgebras) {whose operations and axioms are totally false}. The NeutroAlgebras & AntiAlgebras are a new field of research, which is inspired from our real world. In classical algebraic structures, all axioms are 100%, and all operations are 100% well-defined, but in real life, in many cases these restrictions are too harsh, since in our world we have things that only partially verify some laws or some operations. Using the process of NeutroSophication of a classical algebraic structure we produce a NeutroAlgebra, while the process of AntiSophication of a classical algebraic structure produces an AntiAlgebra.

Fixed Point Results for Contraction Theorems in Neutrosophic Metric Spaces

Fixed Point Results for Contraction Theorems in Neutrosophic Metric Spaces Book
Author : S Sowndrarajan,M Jeyaraman,Florentin Smarandache
Publisher : Infinite Study
Release : 2020-10-01
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

In this article, we present fixed and common fixed point results for Banach and Edelstein contraction theorems in neutrosophic metric spaces. Then some properties and examples are given for neutrosophic metric spaces. Thus, we added a new path in neutrosophic theory to obtain fixed point results. We investigate and prove some contraction theorems that are extended to neutrosophic metric space with the assistance of Grabiec.

A Neutrosophic Approach to Digital Images

A Neutrosophic Approach to Digital Images Book
Author : Mouhammad Bakro,Reema Al-Kamha,Qosai Kanafani
Publisher : Infinite Study
Release : 2020-10-01
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

This research paper presents a neutrosophic mathematical representation of the elements of the digital image by dividing the points of the digital picture matrix into neutrosophic sets (PNS - Picture Neutrosophic Set), and studying the degree of connection between the points of the digital image for us to reach to the connected neutrosophic sets. We have also introduced many mathematical theories and results to calculate the difference and dissimilarity between the neutrosophic sets, which contributes practically in the comparison between digital images and their different uses. Our results help mainly to upgrade and create new neutrosophic algorithms for searching inside images and videos databases.

On Deneutrosophication

On Deneutrosophication Book
Author : Kanika Mandal
Publisher : Infinite Study
Release : 2020-12-01
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Deneutrosophication is a process to evaluate real output from neutrosophic information. The paper presents on a novel deneutrosophication algorithm. The process is developed with similarity measure and probability density function (PDF). This similarity measure is newly defined to prepare a correct transformation from neutrosophic set (NS) to fuzzy set (FS). Then an approach to find PDF is formulated which relates with fuzzy set. Finally, the algorithm has been implemented in solving a critical path problem to find out the completion time of a certain project.

Decision Making with Spherical Fuzzy Sets

Decision Making with Spherical Fuzzy Sets Book
Author : Cengiz Kahraman,Fatma Kutlu Gündoğdu
Publisher : Springer Nature
Release : 2020-05-27
ISBN : 3030454614
Language : En, Es, Fr & De

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Book Description :

This book introduces readers to the novel concept of spherical fuzzy sets, showing how these sets can be applied in practice to solve various decision-making problems. It also demonstrates that these sets provide a larger preference volume in 3D space for decision-makers. Written by authoritative researchers, the various chapters cover a large amount of theoretical and practical information, allowing readers to gain an extensive understanding of both the fundamentals and applications of spherical fuzzy sets in intelligent decision-making and mathematical programming.

Decomposition of Single Valued Neutrosophic Ideal Continuity via Fuzzy Idealization

Decomposition of Single Valued Neutrosophic Ideal Continuity via Fuzzy Idealization Book
Author : Fahad Alsharari
Publisher : Infinite Study
Release : 2020-12-01
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

The aim of this paper is to introduce various types of r-single-valued neutrosophic open sets based on the single-valued neutrosophic ideals in Sostak Sense. Different mappings of single-valued continuity and ideal continuity based on the r-single-valued neutrosophic ideal openness are defined and many implications between them are investigated with counterexamples illustrated.

About Neutrosophic Countably Compactness

About Neutrosophic Countably Compactness Book
Author : Murad Arar
Publisher : Infinite Study
Release : 2020-12-01
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

We answer the following question: Are neutrosophic-compactness and neutrosophic-countably compactness equivalent? Since every neutrosophic topology is neutrosophic-topology, we answer the question for neutrosophic topological spaces, more precisely, we give an example of neutrosophic topology which is neutrosophic countably compact but not neutrosophic compact.

NeutroAlgebra of Neutrosophic Triplets

NeutroAlgebra of Neutrosophic Triplets Book
Author : Vasantha Kandasamy,Ilantheral Kandasamy,Florentin Smarandache
Publisher : Infinite Study
Release : 2020-12-01
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

In this paper, authors define the NeutroAlgebra of neutrosophic triplets groups. We prove the existence theorem for NeutroAlgebra of neutrosophic triplet groups. Several open problems are proposed. Further, the NeutroAlgebras of extended neutrosophic triplet groups have been obtained.

Sumudu Transform for Solving Second Order Ordinary Differential Equation under Neutrosophic Initial Conditions

Sumudu Transform for Solving Second Order Ordinary Differential Equation under Neutrosophic Initial Conditions Book
Author : Meghna Parikh,Manoj Sahni
Publisher : Infinite Study
Release : 2020-12-01
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

The ordinary differential equation of second order is being used in many engineering disciplines and sciences to model many real-life problems. These problems are mostly uncertain, vague and incomplete and thus they require some more advanced tool for modelling. Neutrosophic logic becomes the solution of all these kind of uncertain problems as it describe the conditions of uncertainty which occurs during the process of modelling on the basis of grade of membership of truth values, indeterminacy values and falsity values, that means it consider all the uncertain parameters on the basis of these degrees. In this research paper, we have considered the ordinary differential equation of second order with neutrosophic numbers as initial conditions of spring mass system is solved using Sumudu transform method which has advantage of unit preserving property over the well established Laplace Transform method. The solution obtained at various computational points by this method is shown in the form of table. Furthermore, the results obtained at different (α, β, γ)-cut and time values are also depicted graphically and are verified analytically by de-fuzzifying the data.