On Clean And Nil Clean Symbolic 2 Plithogenic Rings
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On Clean And Nil Clean Symbolic 2 Plithogenic Rings
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Author : P. Prabakaran
language : en
Publisher: Infinite Study
Release Date : 2023-01-01
On Clean And Nil Clean Symbolic 2 Plithogenic Rings written by P. Prabakaran and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Mathematics categories.
A ring is said to be clean if every element of the ring can be written as a sum of an idempotent element and a unit element of the ring and a ring is said to be nil-clean if every element of the ring can be written as a sum of an idempotent element and a nilpotent element of the ring. In this paper, we generalize these arguments to symbolic 2-plithogenic structure. We introduce the structure of clean and nil-clean symbolic 2-plithogenic rings and some of its elementary properties are presented. Also, we have found the equivalence between classical clean(nil-clean) ring R and the corresponding symbolic 2-plithogenic ring 2-SPR.
Neutrosophy
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Author : Florentin Smarandache
language : en
Publisher:
Release Date : 1998
Neutrosophy written by Florentin Smarandache and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
Neutrosophic Rings
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2006-01-01
Neutrosophic Rings written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Mathematics categories.
Research on algebraic structure of group rings is one of the leading, most sought-after topics in ring theory. The new class of neutrosophic rings defined in this book form a generalization of group rings and semigroup rings.The study of the classes of neutrosophic group neutrosophic rings and S-neutrosophic semigroup neutrosophic rings which form a type of generalization of group rings will throw light on group rings and semigroup rings which are essential substructures of them. A salient feature of this group is the many suggested problems on the new classes of neutrosophic rings, solutions of which will certainly develop some of the still open problems in group rings.Further, neutrosophic matrix rings find applications in neutrosophic models like Neutrosophic Cognitive Maps (NCM), Neutrosophic Relational Maps (NRM), Neutrosophic Bidirectional Memories (NBM) and so on.
Neutrosophic Set A Generalization Of The Intuitionistic Fuzzy Set
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2010-08-23
Neutrosophic Set A Generalization Of The Intuitionistic Fuzzy Set written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-23 with Mathematics categories.
In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.
Neutrosophic Graphs A New Dimension To Graph Theory
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Author : Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2015
Neutrosophic Graphs A New Dimension To Graph Theory written by Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Graph theory categories.
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.
Neutrosophic Set In Medical Image Analysis
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Author : Yanhui Guo
language : en
Publisher: Academic Press
Release Date : 2019-08-08
Neutrosophic Set In Medical Image Analysis written by Yanhui Guo and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-08 with Computers categories.
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
A Contribution To Neutrosophic Groups
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Author : Mohammad Abobala
language : en
Publisher: Infinite Study
Release Date :
A Contribution To Neutrosophic Groups written by Mohammad Abobala and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
The objective of this paper is to define some new substructures (AH-substructures) in a neutrosophic group. Also, it deals with some elementary properties of AH-subgroups, AH-normality, AH-homomorphisms, AH-quotients and AH-direct products.
Optimization Theory Based On Neutrosophic And Plithogenic Sets
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Author : Florentin Smarandache
language : en
Publisher: Academic Press
Release Date : 2020-01-14
Optimization Theory Based On Neutrosophic And Plithogenic Sets written by Florentin Smarandache and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-14 with Mathematics categories.
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
Plithogeny Plithogenic Set Logic Probability And Statistics
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2017-10-01
Plithogeny Plithogenic Set Logic Probability And Statistics written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-01 with Mathematics categories.
We introduce for the first time the concept of plithogeny in philosophy and, as a derivative, the concepts of plithogenic set / logic / probability / statistics in mathematics and engineering – and the degrees of contradiction (dissimilarity) between the attributes’ values that contribute to a more accurate construction of plithogenic aggregation operators and to the plithogenic relationship of inclusion (partial ordering).
Neutrosophic Sets And Systems Vol 43 2021
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :
Neutrosophic Sets And Systems Vol 43 2021 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
“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.