Download or read book Finite Neutrosophic Complex Numbers written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2011 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Natural Neutrosophic Numbers and MOD Neutrosophic Numbers written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2015 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book MOD Natural Neutrosophic Subset Semigroups written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2016 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Dual Numbers written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Strong Neutrosophic Graphs and Subgraph Topological Subspaces written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2016 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors for the first time introduce the notion of strong neutrosophic graphs. They are very different from the usual graphs and neutrosophic graphs. Using these new structures special subgraph topological spaces are defined. Further special lattice graph of subgraphs of these graphs are defined and described. Several interesting properties using subgraphs of a strong neutrosophic graph are obtained. Several open conjectures are proposed. These new class of strong neutrosophic graphs will certainly find applications in Neutrosophic Cognitive Maps (NCM), Neutrosophic Relational Maps (NRM) and Neutrosophic Relational Equations (NRE) with appropriate modifications.
Download or read book Semigroups on MOD Natural Neutrosophic Elements written by W B Vasantha Kandasamy and published by Infinite Study. This book was released on 2016 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the notion of semigroups under + is constructed using: the MOD natural neutrosophic integers, or MOD natural neutrosophic-neutrosophic numbers, or MOD natural neutrosophic finite complex modulo integer, or MOD natural neutrosophic dual number integers, or MOD natural neutrosophic special dual like number, or MOD natural neutrosophic special quasi dual numbers.
Download or read book MOD Cognitive Maps Models and MOD Natural Neutrosophic Cognitive Maps Models written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors for the first time introduce new mathematical models analogous to Fuzzy Cognitive Maps (FCMs) and Neutrosophic Cognitive Maps (NCMs) models. Several types of MOD Cognitive Maps models are constructed in this book. They are MOD Cognitive Maps model, MOD dual number Cognitive Maps model, MOD neutrosophic Cognitive Maps model, MOD finite complex number Cognitive Maps model, MOD special dual like number Cognitive Maps model, and MOD special quasi dual number Cognitive Maps model.
Download or read book MOD Relational Maps Models and MOD Natural Neutrosophic Relational Maps Models written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Complex Valued Graphs for Soft Computing written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2017-11-01 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors define, describe, and develop the notion of complex valued graphs, complex neutrosophic valued graphs, and mod complex valued graphs in a systematic way. However complex neural networks have been analyzed and studied as early as 2003. This book gives several applications of them in medical diagnosis, soft computing, and so on.
Download or read book MOD Graphs written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors for the first time introduce, study and develop the notion of MOD graphs, MOD directed graphs, MOD finite complex number graphs, MOD neutrosophic graphs, MOD dual number graphs, and MOD directed natural neutrosophic graphs. There are open conjectures that can help researchers in the graph theory.
Download or read book Recent Advantages In Neutrosophic Module Theory written by Rozina Ali and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is dedicated to give the interested reader a good review and background in recent developments in the field of neutrosophic algebraic module theory.
Download or read book International Journal of Neutrosophic Science IJNS Volume 14 2021 written by Broumi Said and published by Infinite Study. This book was released on with total page 128 pages. Available in PDF, EPUB and Kindle. 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.
Download or read book Neutrosophic Super Matrices and Quasi Super Matrices written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2012 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Subset Vertex Multigraphs and Neutrosophic Multigraphs for Social Multi Networks written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2019 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors introduce the notion of subset vertex multigraphs for the first time. The study of subset vertex graphs was introduced in 2018, however they are not multiedged, further they were unique once the vertex subsets are given. These subset vertex multigraphs are also unique once the vertex subsets are given and the added advantage is that the number of common elements between two vertex subsets accounts for the number of edges between them, when there is no common element there is no edge between them.
Download or read book MOD Natural Neutrosophic Subset Topological Spaces and Kakutani s Theorem written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Data Driven Modelling with Fuzzy Sets written by Said Broumi and published by CRC Press. This book was released on 2024-07-03 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy sets have long been employed to handle imprecise and uncertain information in the real world, but their limitations in dealing with incomplete and inconsistent data led to the emergence of neutrosophic sets. In this thought-provoking book, titled Data-Driven Modelling with Fuzzy Sets: A Neutrosophic Perspective, the authors delve into the theories and extensive applications of neutrosophic sets, ranging from neutrosophic graphs to single-valued trapezoidal neutrosophic sets and their practical implications in knowledge management, including student learning assessment, academic performance evaluation, and technical article screening. This comprehensive resource is intended to benefit mathematicians, physicists, computer experts, engineers, scholars, practitioners, and students seeking to deepen their understanding of neutrosophic sets and their practical applications in diverse fields. This book comprises 11 chapters that provide a thorough examination of neutrosophic set theory and its extensions. Each chapter presents valuable insights into various aspects of data-driven modeling with neutrosophic sets and explores their applications in different domains. The book covers a wide range of topics. The specific topics covered in the book include neutrosophic submodules, applications of neutrosophic sets, solutions to differential equations with neutrosophic uncertainty, cardinalities of neutrosophic sets, neutrosophic cylindrical coordinates, applications to graphs and climatic analysis, neutrosophic differential equation approaches to growth models, neutrosophic aggregation operators for decision making, and similarity measures for Fermatean neutrosophic sets. The diverse contributions from experts in the field, coupled with the constructive feedback from reviewers, ensure the book's high quality and relevance. This book presents a qualitative assessment of big data in the education sector using linguistic quadripartitioned single-valued neutrosophic soft sets showcases application of n-cylindrical fuzzy neutrosophic sets in education using neutrosophic affinity degree and neutrosophic similarity index covers scientific evaluation of student academic performance using single-valued neutrosophic Markov chain illustrates multi-granulation single-valued neutrosophic probabilistic rough sets for teamwork assessment examines estimation of distribution algorithms based on multiple-attribute group decision-making to evaluate teaching quality With its wealth of knowledge, this book aims to inspire further research and innovation in the field of neutrosophic sets and their extensions, providing a valuable resource for scholars, practitioners, and students alike.
Download or read book The Encyclopedia of Neutrosophic Researchers 1st volume written by Florentin Smarandache and published by Infinite Study. This book was released on 2016-11-12 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
