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Applications Of Bimatrices To Some Fuzzy And Neutrosophic Models
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Book Synopsis Applications of Bimatrices to some Fuzzy and Neutrosophic Models by : W. B. Vasantha Kandasamy
Download or read book Applications of Bimatrices to some Fuzzy and Neutrosophic Models written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2005-12 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives some new types of Fuzzy and Neutrosophic models which can analyze problems in a revolutionary way.The new notions of bigraphs, bimatrices and their generalizations are used to build these models which will be helpful to analyze time dependent problems or problems which need stage-by-stage comparison of more than two experts.The models expressed here can be considered as generalizations of Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps.
Book Synopsis Applications of Bimatrices to Some Fuzzy and Neutrosophic Models by : W. B. Vasantha Kandasamy
Download or read book Applications of Bimatrices to Some Fuzzy and Neutrosophic Models written by W. B. Vasantha Kandasamy and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Bimatrices by : W. B. Vasantha Kandasamy
Download or read book Introduction to Bimatrices written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2005 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generally any real-world problem is not always solvable, because in that not only a percentage of uncertainty is present, but also, a certain percentage of indeterminacy is present. The presence of uncertainty has been analyzed using fuzzy logic. In this book the amount of indeterminacy is being analyzed using neutrosophic logic.Most of these models use the concept of matrices. Matrices have certain limitation; when the models are time-dependent and any two experts opinions are being studied simultaneously, one cannot compare both of them at each stage. The new concept of bimatrices would certainly cater to these needs.A bimatrix AB = A1 U B2, where A1 and A2 are distinct matrices of arbitrary order. This book introduces the concept of bimatrices, and studies several notions like bieigen values, bieigen vectors, characteristic bipolynomials, bitransformations, bioperators and bidiagonalization.Further, we introduce and explore the concepts like fuzzy bimatrices, neutrosophic bimatrices and fuzzy neutrosophic bimatrices, which will find its application in fuzzy and neutrosophic logics.
Book Synopsis Distance in Matrices and Their Applications to Fuzzy Models and Neutrosophic Models by : W. B. Vasantha Kandasamy
Download or read book Distance in Matrices and Their Applications to Fuzzy Models and Neutrosophic Models written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2014-10-20 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors for the first time introduce the notion of distance between any two m x n matrices. If the distance is 0 or m x n there is nothing interesting.
Book Synopsis Fuzzy Interval Matrices, Neutrosophic Interval Matrices and their Applications by : W. B. Vasantha Kandasamy
Download or read book Fuzzy Interval Matrices, Neutrosophic Interval Matrices and their Applications written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2006-01-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces for the first time the notion of fuzzy interval matrices, fuzzy interval bimatrices, fuzzy interval n-matrices, neutrosophic interval matrices, neutrosophic interval bimatrices, neutrosophic interval n-matrices, fuzzy neutrosophic interval matrices and fuzzy neutrosophic interval n-matrices, where n >= 2.These new notions find their applications in FCInM, FRInM, FBAItM, NCInM, NCRInM and NRInM models, where n>=1.It is important to mention that these Fuzzy interval n-matrices and Fuzzy neutrosophic interval n-matrices will find their usage in Leontief economic models and Markov chains that have lots of industrial applications.
Book Synopsis Neutrosophic Sets and Systems, vol. 8/2015 by : L. Kong
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.
Book Synopsis Pseudo Lattice Graphs and their Applications to Fuzzy and Neutrosophic Models by : W. B. Vasantha Kandasamy
Download or read book Pseudo Lattice Graphs and their Applications to Fuzzy and Neutrosophic Models written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2014 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors for the first time have merged vertices and edges of lattices to get a new structure which may or may not be a lattice but is always a graph. This merging is done for graph too which will be used in the merging of fuzzy models. Further merging of graphs leads to the merging of matrices; both these concepts play a vital role in merging the fuzzy and neutrosophic models. Several open conjectures are suggested.
Book Synopsis Neutrosophic Sets and Systems, Vol. VIII by : Florentin Smarandache, Mumtaz Ali
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.
Book Synopsis Neutrosophic Fuzzy Matrices and Some Algebraic Operations by : Rakhal Das
Download or read book Neutrosophic Fuzzy Matrices and Some Algebraic Operations written by Rakhal Das and published by Infinite Study. This book was released on with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article, we study neutrosophic fuzzy set and define the subtraction and multiplication of two rectangular and square neutrosophic fuzzy matrices. Some properties of subtraction, addition and multiplication of these matrices and commutative property, distributive property have been examined.
Book Synopsis The Encyclopedia of Neutrosophic Researchers, 1st volume by : Florentin Smarandache
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.
Book Synopsis Introduction to Neutrosophic Measure, Neutrosophic Integral, and Neutrosophic Probability by : Florentin Smarandache
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.
Book Synopsis Neutrosophic Soft Matrices and Its Application in Medical Diagnosis by : Mamoni Dhar
Download or read book Neutrosophic Soft Matrices and Its Application in Medical Diagnosis written by Mamoni Dhar and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main focus of this article is to discuss the concept of neutrosophic sets, neutrosophic soft seets, and neutrosophic soft matrices theory which are very useful and applicable in various situations involving uncertainties and imprecisions.
Book Synopsis Collected Papers. Volume IX by : Florentin Smarandache
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.
Book Synopsis Smarandache 问题研究 (Chinese) by : Yuan Yi
Download or read book Smarandache 问题研究 (Chinese) written by Yuan Yi and published by Infinite Study. This book was released on 2006-01-01 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers and definitions in Chinese language related to Smarandache n-structures, generalized palindromes, functions, sequences, numbers, neutrosophic logic/set/probability/statistics, Smarandache geometries, etc.
Book Synopsis Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and Neutrosophic Models by : W. B. Vasantha Kandasamy
Download or read book Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and Neutrosophic Models written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2004-01-01 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the involvement of uncertainty of varying degrees, when the total of the membership degree exceeds one or less than one, then the newer mathematical paradigm shift, Fuzzy Theory proves appropriate.For the past two or three decades, Fuzzy Theory has become the potent tool to study and analyze uncertainty involved in all problems. But, many real world problems also abound with the concept of indeterminacy.In this book, the new, powerful tool of neutrosophy that deals with indeterminacy is utilized. Innovative neutrosophic models are described.The theory of neutrosophic graphs is introduced and applied to fuzzy and neutrosophic models.Neutrosophic Logic and Neutrosophic Set (generalizations of Intuitionistic Fuzzy Logic and Intuitionistic Fuzzy Set respectively) became strong tools for applications.
Book Synopsis On Studying Certain Fuzzy Neutrosophic Matrices and Operators by : R. Sophia Porchelvi
Download or read book On Studying Certain Fuzzy Neutrosophic Matrices and Operators written by R. Sophia Porchelvi and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic set is a new mathematical tool for handling problems involving imprecise, indeterminacy and inconsistent data. In 1988, Smarandache introduce the concept of a neutrosophic set from a philosophical point of view. The neutrosophic set is a powerful general framework that generalizes the concept of fuzzy set and intutionistic fuzzy set.
Book Synopsis Multi-Aspect Decision-Making Process in Equity Investment Using Neutrosophic Soft Matrices by : Chinnadurai Veerappan
Download or read book Multi-Aspect Decision-Making Process in Equity Investment Using Neutrosophic Soft Matrices written by Chinnadurai Veerappan and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic theory alleviates the ambiguity situation more effectively than fuzzy sets. Neutrosophic soft set deals with the combination of truth, indeterminacy and falsity membership. This provides a space for the convention with multi-aspect decision-making (MADM) problems that involve these combinations. The main aim of this paper is to provide a unique ranking for the alternatives to overcome the existing drawbacks in the said environment. Initially, a new score function and the weighted neutrosophic vector are discussed.
