Download or read book Vedic Mathematics Vedic or Mathematics A Fuzzy Neutrosophic Analysis written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2006-12 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ?Vedas? are considered ?divine? in origin and are assumed to be revelations from God. In traditional Hinduism, the Vedas were to be learnt only by the ?upper? caste Hindus. The ?lower castes? (Sudras) and so-called ?untouchables? (who were outside the Hindu social order) were forbidden from even hearing to its recitation. In recent years, there have been claims that the Vedas contain the cure to AIDS and the production of electricity.Here the authors probe into Vedic Mathematics (that gained renown during the revivalist Hindutva rule in India and was introduced into school syllabus in several states); and explore if it is really ?Vedic? in origin or ?Mathematics? in content. To gain a better understanding of its imposition, we interviewed students, teachers, parents, educationists and activists. We analyze this problem using models like Fuzzy Cognitive Maps (FCM), Fuzzy Relational Maps (FRM) and newly constructed Fuzzy Dynamical System (and their Neutrosophic Analogues). The issue of imposition of Vedic Mathematics into the school curriculum involves religious politics, caste supremacy, apart from elementary arithmetic ? so we use fuzzy and neutrosophic techniques to gain acute insight into how students have been affected because of this politically motivated syllabus revision.

Download or read book Mathematical Analysis of the Problems Faced by the People with Disabilities PWDs With Specific Reference to Tamil Nadu India written by W. B. Vasantha Kandasamy, Florentin Smarandache, A. Praveen Prakash and published by Infinite Study. This book was released on 2012 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Download or read book Introduction to Neutrosophic Measure Neutrosophic Integral and Neutrosophic Probability written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we introduce for the first time the notions of neutrosophic measure and neutrosophic integral, and we develop the 1995 notion of neutrosophic probability. We present many practical examples. It is possible to define the neutrosophic measure and consequently the neutrosophic integral and neutrosophic probability in many ways, because there are various types of indeterminacies, depending on the problem we need to solve. Neutrosophics study the indeterminacy. Indeterminacy is different from randomness. It can be caused by physical space materials and type of construction, by items involved in the space, etc.

Download or read book Super Fuzzy Matrices and Super Fuzzy Models for Social Scientists written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2008 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the concept of fuzzy super matrices and operations on them. The author has provided only those operations on fuzzy supermatrices that are essential for developing super fuzzy multi expert models. We do not indulge in labourious use of suffixes or superfixes and difficult notations; instead we illustrate the working by simple examples. This book will be highly useful to social scientists who wish to work with multi expert models. An important feature of this book is its simple approach. Illustrations are given to make the method of approach to the problems easily understandable. Super fuzzy models using Fuzzy Cognitive Maps, Fuzzy Relational maps, Bidirectional Associative Memories and Fuzzy Associative Memories are defined here. Every model is a multi expert model. This book will certainly be a boon not only to social scientists but also to engineers, students, doctors and researchers. The authors introduce thirteen multi expert models using the notion of fuzzy supermatrices. These models are also described by illustrative examples.

Download or read book Special Fuzzy Matrices for Social Scientists written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2007-01-01 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces special classes of Fuzzy and Neutrosophic Matrices. These special classes of matrices are used in the construction of multi-expert special fuzzy models using FCM, FRM and FRE and their Neutrosophic analogues (simultaneous or otherwise according to ones need). Using the six basic models, we have constructed a multi-expert multi-model called Super Special Hexagonal Fuzzy and Neutrosophic Model.Given any special input vector, these models can give the resultant using special operations. When coupled with computer programming, these operations can give the solution within a reasonable time period.Such multi-expert multi-model systems are not only a boon to social scientists, but also to anyone who wants to use Fuzzy and Neutrosophic Models.

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 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 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 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 Neutrosophic Sets and Systems Vol VIII written by Florentin Smarandache, Mumtaz Ali and published by Infinite Study. This book was released on 2015-04-01 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of ten papers by contributors F. Smarandache, F. Yuhua, K. Mondal, S. Pramanik, S. Broumi, J. Ye, A. A. Salama,, N. Easa, S. A. Elhafez, M. M. Lotfy, L. Kong, Y. Wu, P. Biswas, B. C. Giri, A. Mukkerjee, and S. Sarkar, focusing on a new kind of algebraic structures called (T, I, F)- Neutrosophic Structures; Expanding Uncertainty Principle to Certainty-Uncertainty Principles with Neutrosophy and Quad-stage Methods; Rough Neutrosophic Multi-Attribute Decision-Making Based on Rough Accuracy Score Function; an Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variable; Review of Recommender Systems Algorithms Utilized in Social Networks based e-Learning Systems & Neutrosophic System; Fault Diagnosis Method of Gasoline Engines Using the Cosine Similarity Measure of Neutrosophic Numbers; Cosine Similarity Measure Based Multi-attribute Decision-making with Trapezoidal Fuzzy Neutrosophic Numbers; Thesis-Antithesis-Neutrothesis, and Neutrosynthesis; Negating Four Color Theorem with Neutrosophy and Quadstage Method; and A new method of measuring similarity between two neutrosophic soft sets and its application in pattern recognition problems.

Download or read book Neutrosophic Sets and Systems vol 8 2015 written by L. Kong and published by Infinite Study. This book was released on with total page 70 pages. Available in PDF, EPUB and Kindle. 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.

Download or read book Handbook of Research on Natural Computing for Optimization Problems written by Mandal, Jyotsna Kumar and published by IGI Global. This book was released on 2016-05-25 with total page 1199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nature-inspired computation is an interdisciplinary topic area that connects the natural sciences to computer science. Since natural computing is utilized in a variety of disciplines, it is imperative to research its capabilities in solving optimization issues. The Handbook of Research on Natural Computing for Optimization Problems discusses nascent optimization procedures in nature-inspired computation and the innovative tools and techniques being utilized in the field. Highlighting empirical research and best practices concerning various optimization issues, this publication is a comprehensive reference for researchers, academicians, students, scientists, and technology developers interested in a multidisciplinary perspective on natural computational systems.

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 Science and Scientification in South Asia and Europe written by Axel Michaels and published by Taylor & Francis. This book was released on 2020-03-11 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume critically examines the role of science in the humanities and social sciences. It studies how cultures and societies in South Asia and Europe underwent a transformation with the adoption or adaptation of scientific methods, turning ancient cultural processes and phenomena into an enhanced scientific structure. The chapters in this book Discuss the development of science as a method in modern and historical contexts and the differences between modern science, scientification and pseudoscience. Study the interactions between bodies of knowledge such as Sanskrit and computer science; mathematics and Vedic mathematics; science and philosophy. Drawing on textual material, extensive fieldwork and in-depth interviews, this book will be of great interest to scholars and researchers of philosophy, Indology, history, linguistics, history and philosophy of science and social science.

Download or read book Collected Papers Volume IX written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-05-10 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ninth volume of Collected Papers includes 87 papers comprising 982 pages on Neutrosophic Theory and its applications in Algebra, written between 2014-2022 by the author alone or in collaboration with the following 81 co-authors (alphabetically ordered) from 19 countries: E.O. Adeleke, A.A.A. Agboola, Ahmed B. Al-Nafee, Ahmed Mostafa Khalil, Akbar Rezaei, S.A. Akinleye, Ali Hassan, Mumtaz Ali, Rajab Ali Borzooei , Assia Bakali, Cenap Özel, Victor Christianto, Chunxin Bo, Rakhal Das, Bijan Davvaz, R. Dhavaseelan, B. Elavarasan, Fahad Alsharari, T. Gharibah, Hina Gulzar, Hashem Bordbar, Le Hoang Son, Emmanuel Ilojide, Tèmítópé Gbóláhàn Jaíyéolá, M. Karthika, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Huma Khan, Madad Khan, Mohsin Khan, Hee Sik Kim, Seon Jeong Kim, Valeri Kromov, R. M. Latif, Madeleine Al-Tahan, Mehmat Ali Ozturk, Minghao Hu, S. Mirvakili, Mohammad Abobala, Mohammad Hamidi, Mohammed Abdel-Sattar, Mohammed A. Al Shumrani, Mohamed Talea, Muhammad Akram, Muhammad Aslam, Muhammad Aslam Malik, Muhammad Gulistan, Muhammad Shabir, G. Muhiuddin, Memudu Olaposi Olatinwo, Osman Anis, Choonkil Park, M. Parimala, Ping Li, K. Porselvi, D. Preethi, S. Rajareega, N. Rajesh, Udhayakumar Ramalingam, Riad K. Al-Hamido, Yaser Saber, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, A.A. Salama, Ganeshsree Selvachandran, Songtao Shao, Seok-Zun Song, Tahsin Oner, M. Mohseni Takallo, Binod Chandra Tripathy, Tugce Katican, J. Vimala, Xiaohong Zhang, Xiaoyan Mao, Xiaoying Wu, Xingliang Liang, Xin Zhou, Yingcang Ma, Young Bae Jun, Juanjuan Zhang.

Download or read book The Great Mathematicians of Bharat written by Partha Pratim Ray and published by Rajmangal Prakashan. This book was released on 2023-12-20 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The Great Mathematicians of Bharat" emerges as a seminal work, aligning perfectly with the vision of the National Education Policy (NEP) 2020, which emphasizes the integration and appreciation of Indian Knowledge Systems (IKS) in contemporary education. This book meticulously documents the rich legacy of India's mathematical geniuses, serving as a crucial resource in rekindling interest and respect for Bharat's profound mathematical traditions. It underscores the symbiotic relationship between cultural ethos and scientific inquiry, highlighting how Indian mathematicians not only contributed to the field of mathematics but also how their work was deeply interwoven with Hindu spiritual and cultural practices. By chronicling the journey from ancient sages to modern masters, the book provides a comprehensive view of the evolution of mathematical thought in Bharat, thus fulfilling NEP 2020's objective of integrating indigenous knowledge with modern academic frameworks. In doing so, it not only educates but also inspires, setting a precedent for future academic endeavours to explore and celebrate India's rich intellectual heritage.