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Mod Rectangular Natural Neutrosophic Numbers


Mod Rectangular Natural Neutrosophic Numbers
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Mod Rectangular Natural Neutrosophic Numbers


Mod Rectangular Natural Neutrosophic Numbers
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date :

Mod Rectangular Natural Neutrosophic Numbers 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 with categories.


In this book authors introduce the new notion of MOD rectangular planes. The functions on them behave very differently when compared to MOD planes (square). These are different from the usual MOD planes. Algebraic structures on these MOD rectangular planes are defined and developed.



Mod Rectangular Natural Neutrosophic Numbers


Mod Rectangular Natural Neutrosophic Numbers
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Author : W. B. Vasantha Kandasamy
language : en
Publisher:
Release Date : 2018

Mod Rectangular Natural Neutrosophic Numbers written by W. B. Vasantha Kandasamy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Algebras, Linear categories.




Mod Relational Maps Models And Mod Natural Neutrosophic Relational Maps Models


Mod Relational Maps Models And Mod Natural Neutrosophic Relational Maps Models
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date :

Mod Relational Maps Models And Mod Natural Neutrosophic Relational Maps Models 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 with categories.


In this book the authors for the first time construct MOD Relational Maps model analogous to Fuzzy Relational Maps (FRMs) model or Neutrosophic Relational Maps (NRMs) model using the MOD rectangular or relational matrix. The advantage of using these models is that the MOD fixed point pair or MOD limit cycle pair is obtained after a finite number of iterations.



Special Type Of Fixed Point Pairs Using Mod Rectangular Matrix Operators


Special Type Of Fixed Point Pairs Using Mod Rectangular Matrix Operators
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date :

Special Type Of Fixed Point Pairs Using Mod Rectangular Matrix Operators 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 with categories.


In this book authors for the first time define a special type of fixed points using MOD rectangular matrices as operators. In this case the special fixed points or limit cycles are pairs which is arrived after a finite number of iterations. Such study is both new and innovative for it can find lots of applications in mathematical modeling.



Mod Natural Neutrosophic Subset Topological Spaces And Kakutani S Theorem


Mod Natural Neutrosophic Subset Topological Spaces And Kakutani S Theorem
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date :

Mod Natural Neutrosophic Subset Topological Spaces And Kakutani S Theorem 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 with categories.


In this book authors for the first time develop the notion of MOD natural neutrosophic subset special type of topological spaces using MOD natural neutrosophic dual numbers or MOD natural neutrosophic finite complex number or MOD natural neutrosophic-neutrosophic numbers and so on to build their respective MOD semigroups. Later they extend this concept to MOD interval subset semigroups and MOD interval neutrosophic subset semigroups. Using these MOD interval semigroups and MOD interval natural neutrosophic subset semigroups special type of subset topological spaces are built. Further using these MOD subsets we build MOD interval subset matrix semigroups and MOD interval subset matrix special type of matrix topological spaces. Likewise using MOD interval natural neutrosophic subsets matrices semigroups we can build MOD interval natural neutrosophic matrix subset special type of topological spaces. We also do build MOD subset coefficient polynomial special type of topological spaces. The final chapter mainly proposes several open conjectures about the validity of the Kakutani’s fixed point theorem for all MOD special type of subset topological spaces.



Mod Natural Neutrosophic Subset Semigroups


Mod Natural Neutrosophic Subset Semigroups
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2016

Mod Natural Neutrosophic Subset Semigroups 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 2016 with categories.


In this book the authors introduce for the first time the MOD Natural Subset Semigroups. They enjoy very many special properties. They are only semigroups even under addition. This book provides several open problems to the semigroup theorists



The Encyclopedia Of Neutrosophic Researchers 1st Volume


The Encyclopedia Of Neutrosophic Researchers 1st Volume
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2016-11-12

The Encyclopedia Of Neutrosophic Researchers 1st Volume 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 2016-11-12 with Mathematics categories.


This is the first volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The 78 authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy. In the past years the fields of neutrosophics have been extended and applied in various fields, such as: artificial intelligence, data mining, soft computing, decision making in incomplete / indeterminate / inconsistent information systems, image processing, computational modelling, robotics, medical diagnosis, biomedical engineering, investment problems, economic forecasting, social science, humanistic and practical achievements.



Neutrosophic Sets And Systems Vol 62 2023 Neutrosophic Advancements And Their Impact On Research In Latin America


Neutrosophic Sets And Systems Vol 62 2023 Neutrosophic Advancements And Their Impact On Research In Latin America
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2023-12-15

Neutrosophic Sets And Systems Vol 62 2023 Neutrosophic Advancements And Their Impact On Research In Latin America 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 2023-12-15 with Mathematics categories.


In the ever-evolving landscape of contemporary research, the utilization of neutrosophic methods has burgeoned into an innovative and multidisciplinary approach, offering profound insights and solutions to intricate issues spanning education, law, and healthcare. This expanded preface not only introduces a unique collection of articles authored by experts from Mexico, Peru, Cuba, Spain, Chile, Brazil, República Dominicana, Colombia, Estados Unidos, Uruguay, Panamá, Canada, Paraguay and Ecuador but also underscores the transformative impact of neutrosophic research on the fabric of Latin American society. The growth of research in neutrosophy has been particularly pronounced, manifesting its influence across diverse domains. In the realm of education, researchers are exploring novel ways to integrate neutrosophic principles into pedagogical strategies, fostering a nuanced understanding of complex subjects and encouraging critical thinking among students. Neutrosophy has thus become a cornerstone in shaping the educational landscape, challenging traditional paradigms and encouraging a more comprehensive approach to learning. Furthermore, the legal arena has witnessed a paradigm shift with the incorporation of neutrosophic decisionmaking. The nuanced and balanced perspectives offered by neutrosophy have proven instrumental in addressing legal complexities, contributing to a more equitable and just legal system. The articles in this collection delve into the application of neutrosophic models in legal frameworks, highlighting their potential to revolutionize the practice of law in the region. In the healthcare sector, the adoption of neutrosophic modeling for resource allocation signifies a departure from conventional approaches. By incorporating the inherent uncertainty and indeterminacy of healthcare decision-making, researchers are paving the way for more adaptive and responsive healthcare systems. This collection explores the potential of neutrosophic methods to optimize healthcare resource allocation, thereby enhancing the quality of care provided to diverse communities. A noteworthy development accompanying this surge in neutrosophic research is the establishment and growth of the Latin American Association of Neutrosophic Clinics. This association serves as a nexus for collaboration, fostering interdisciplinary exchanges and providing a platform for researchers and practitioners to share their advancements and challenges. The association’s commitment to promoting neutrosophic research across Latin America is exemplified by its flagship publication, the "Neutrosophic Computing and Machine Learning" journal. Undoubtedly, the pioneering efforts of Dr. Florentin Smarandache and Dr. Mohamed Abdel-Baset have played a pivotal role in nurturing the growth of neutrosophy in the region. Their unwavering support, both in terms of advocacy and research contributions, has catalyzed the expansion of neutrosophic studies in Latin America. This collection, in many ways, stands as a testament to their enduring commitment and the collaborative spirit that propels the field forward. This collection of articles represents not only a snapshot of the current state of neutrosophic research in Latin America but also a testament to its transformative potential. As readers delve into these contributions, they are invited to witness the ongoing evolution of neutrosophy and its profound implications for education, law, healthcare, and beyond.



Interval Neutrosophic Sets And Logic Theory And Applications In Computing


Interval Neutrosophic Sets And Logic Theory And Applications In Computing
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Author : Haibin Wang
language : en
Publisher: Infinite Study
Release Date : 2005

Interval Neutrosophic Sets And Logic Theory And Applications In Computing written by Haibin Wang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.


This book presents the advancements and applications of neutrosophics, which are generalizations of fuzzy logic, fuzzy set, and imprecise probability. The neutrosophic logic, neutrosophic set, neutrosophic probability, and neutrosophic statistics are increasingly used in engineering applications (especially for software and information fusion), medicine, military, cybernetics, physics.In the last chapter a soft semantic Web Services agent framework is proposed to facilitate the registration and discovery of high quality semantic Web Services agent. The intelligent inference engine module of soft semantic Web Services agent is implemented using interval neutrosophic logic.



Natural Neutrosophic Numbers And Mod Neutrosophic Numbers


Natural Neutrosophic Numbers And Mod Neutrosophic Numbers
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2015

Natural Neutrosophic Numbers And Mod Neutrosophic Numbers 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 2015 with Neutrosophic logic categories.


The authors in this book introduce a new class of natural neutrsophic numbers using MOD intervals. These natural MOD neutrosophic numbers behave in a different way for the product of two natural neutrosophic numbers can be neutrosophic zero divisors or idempotents or nilpotents. Several open problems are suggested in this book.