Algebraic Structures on Real and Neutrosophic Semi Open Squares

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Publisher :
ISBN 13 : 9781599732916
Total Pages : 205 pages
Book Rating : 4.7/5 (329 download)

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Book Synopsis Algebraic Structures on Real and Neutrosophic Semi Open Squares by : W. B. Vasantha Kandasamy

Download or read book Algebraic Structures on Real and Neutrosophic Semi Open Squares written by W. B. Vasantha Kandasamy and published by . This book was released on 2014 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Structures on Fuzzy Unit Square and Neutrosophic Unit Square

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Publisher : Infinite Study
ISBN 13 : 1599732726
Total Pages : 223 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Algebraic Structures on Fuzzy Unit Square and Neutrosophic Unit Square by : W. B. Vasantha Kandasamy

Download or read book Algebraic Structures on Fuzzy Unit Square and Neutrosophic Unit Square written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2014 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors build algebraic structures on fuzzy unit semi-open square UF = {(a,b), with a, b in [0, 1)} and on neutrosophic unit semi-open square UN = {a+bI, with a, b in [0, 1)}. As distributive laws are not true, we are not in a position to develop several properties of rings, semirigs and linear algebras. Seven open conjectures are proposed.

Neutrosophic Sets and Systems, Vol. VIII

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Publisher : Infinite Study
ISBN 13 : 1599733382
Total Pages : 70 pages
Book Rating : 4.5/5 (997 download)

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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.

Mod Rectangular Natural Neutrosophic Numbers

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 263 pages
Book Rating : 4./5 ( download)

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Book Synopsis Mod Rectangular Natural Neutrosophic Numbers by : W. B. Vasantha Kandasamy

Download or read book Mod Rectangular Natural Neutrosophic Numbers written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Collected Papers. Volume IX

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 1008 pages
Book Rating : 4./5 ( download)

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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.

Neutrosophic Sets and Systems, vol. 8/2015

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4./5 ( download)

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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.

Natural Neutrosophic Numbers and MOD Neutrosophic Numbers

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Publisher : Infinite Study
ISBN 13 : 1599733668
Total Pages : 188 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Natural Neutrosophic Numbers and MOD Neutrosophic Numbers by : W. B. Vasantha Kandasamy

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.

The Encyclopedia of Neutrosophic Researchers, 1st volume

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Publisher : Infinite Study
ISBN 13 : 1599734680
Total Pages : 232 pages
Book Rating : 4.5/5 (997 download)

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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.

Symbolic Neutrosophic Theory

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Publisher : Infinite Study
ISBN 13 : 1599733757
Total Pages : 196 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Symbolic Neutrosophic Theory by : Florentin Smarandache

Download or read book Symbolic Neutrosophic Theory written by Florentin Smarandache and published by Infinite Study. This book was released on 2015-10-14 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symbolic (or Literal) Neutrosophic Theory is referring to the use of abstract symbols (i.e. the letters T, I, F, or their refined indexed letters Tj, Ik, Fl) in neutrosophics. In the first chapter we extend the dialectical triad thesis-antithesis-synthesis (dynamics of and , to get a synthesis) to the neutrosophic tetrad thesis-antithesis-neutrothesis-neutrosynthesis (dynamics of , , and , in order to get a neutrosynthesis). In the second chapter we introduce the neutrosophic system and neutrosophic dynamic system. A neutrosophic system is a quasi- or (t,i,f)–classical system, in the sense that the neutrosophic system deals with quasi-terms/concepts/attributes, etc. [or (t,i,f)-terms/concepts/attributes], which are approximations of the classical terms/concepts/attributes, i.e. they are partially true/membership/probable (t), partially indeterminate (i), and partially false/nonmembership/improbable (f), where t, i, f are subsets of the unitary interval [0, 1]. In the third chapter we introduce for the first time the notions of Neutrosophic Axiom, Neutrosophic Deducibility, Neutrosophic Axiomatic System, Degree of Contradiction (Dissimilarity) of Two Neutrosophic Axioms, etc. The fourth chapter we introduced for the first time a new type of structures, called (t, i, f)-Neutrosophic Structures, presented from a neutrosophic logic perspective, and we showed particular cases of such structures in geometry and in algebra. In any field of knowledge, each structure is composed from two parts: a space, and a set of axioms (or laws) acting (governing) on it. If the space, or at least one of its axioms (laws), has some indeterminacy of the form (t, i, f) ≠ (1, 0, 0), that structure is a (t, i, f)-Neutrosophic Structure. In the fifth chapter we make a short history of: the neutrosophic set, neutrosophic numerical components and neutrosophic literal components, neutrosophic numbers, etc. The aim of this chapter is to construct examples of splitting the literal indeterminacy (I) into literal sub-indeterminacies (I1,I2,…,Ir), and to define a multiplication law of these literal sub-indeterminacies in order to be able to build refined I-neutrosophic algebraic structures. In the sixth chapter we define for the first time three neutrosophic actions and their properties. We then introduce the prevalence order on (T, I, F) with respect to a given neutrosophic operator "o", which may be subjective - as defined by the neutrosophic experts. And the refinement of neutrosophic entities , , and . Then we extend the classical logical operators to neutrosophic literal (symbolic) logical operators and to refined literal (symbolic) logical operators, and we define the refinement neutrosophic literal (symbolic) space. In the seventh chapter we introduce for the first time the neutrosophic quadruple numbers (of the form a+bT+cI+dF) and the refined neutrosophic quadruple numbers. Then we define an absorbance law, based on a prevalence order, both of them in order to multiply the neutrosophic components T, I, F or their sub-components T_j, I_k, F_l and thus to construct the multiplication of neutrosophic quadruple numbers.

Algebraic Structures Using Natural Class of Intervals

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Publisher : Infinite Study
ISBN 13 : 1599731355
Total Pages : 172 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Algebraic Structures Using Natural Class of Intervals by : W. B. Vasantha Kandasamy

Download or read book Algebraic Structures Using Natural Class of Intervals written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2011 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4./5 ( download)

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Book Synopsis Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields by : Mamika Ujianita Romdhini

Download or read book Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields written by Mamika Ujianita Romdhini and published by Infinite Study. This book was released on 2023-01-01 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: A field is a fundamental algebraic structure that finds extensive applications in algebra and various mathematical domains. On the other hand, a Q-complex neutrosophic soft set (Q-CNSS) is a unique hybrid model that combines the characteristics of soft sets and neutrosophic sets within a complex number framework. It utilizes the effectiveness of Q-set as a powerful tool in the domain of this particular model. In this article, we leverage this model to define fields under uncertainty. We present the Q-complex neutrosophic soft field (Q-CNSF) and examine the unique algebraic properties associated with this model. Additionally, we explore the relationships between Q-CNSF and Q-neutrosophic soft field (Q-NSF). Furthermore, we define the Cartesian product of QCNSFs and delve into the relevant properties. Through this comprehensive exploration, our aim is to enhance the understanding of Q-CNSFs and their properties, ultimately contributing to the field of algebraic analysis and its practical applications in handling uncertainty and vagueness.

Elementary Overview Of Mathematical Structures, An: Algebra, Topology And Categories

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Publisher : World Scientific
ISBN 13 : 9811220336
Total Pages : 393 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Elementary Overview Of Mathematical Structures, An: Algebra, Topology And Categories by : Marco Grandis

Download or read book Elementary Overview Of Mathematical Structures, An: Algebra, Topology And Categories written by Marco Grandis and published by World Scientific. This book was released on 2020-08-12 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The presentation is modeled on the discursive style of the Bourbaki collective, and the coverage of topics is rich and varied. Grandis has provided a large selection of exercises and has sprinkled orienting comments throughout. For an undergraduate library where strong students seek an overview of a significant portion of mathematics, this would be an excellent acquisition. Summing up: Recommended.'CHOICESince the last century, a large part of Mathematics is concerned with the study of mathematical structures, from groups to fields and vector spaces, from lattices to Boolean algebras, from metric spaces to topological spaces, from topological groups to Banach spaces.More recently, these structured sets and their transformations have been assembled in higher structures, called categories.We want to give a structural overview of these topics, where the basic facts of the different theories are unified through the 'universal properties' that they satisfy, and their particularities stand out, perhaps even more.This book can be used as a textbook for undergraduate studies and for self-study. It can provide students of Mathematics with a unified perspective of subjects which are often kept apart. It is also addressed to students and researchers of disciplines having strong interactions with Mathematics, like Physics and Chemistry, Statistics, Computer Science, Engineering.

Smarandache Neutrosophic Algebraic Structures

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Publisher : American Research Press
ISBN 13 : 9781461930006
Total Pages : 203 pages
Book Rating : 4.9/5 (3 download)

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Book Synopsis Smarandache Neutrosophic Algebraic Structures by : W. B. Vasantha Kandasamy

Download or read book Smarandache Neutrosophic Algebraic Structures written by W. B. Vasantha Kandasamy and published by American Research Press. This book was released on 2014-05-14 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt:

NeutroAlgebra is a Generalization of Partial Algebra

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4./5 ( download)

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Book Synopsis NeutroAlgebra is a Generalization of Partial Algebra by : Florentin Smarandache

Download or read book NeutroAlgebra is a Generalization of Partial Algebra written by Florentin Smarandache and published by Infinite Study. This book was released on 2020-03-12 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we recall, improve, and extend several definitions, properties and applications of our previous 2019 research referred to NeutroAlgebras and AntiAlgebras (also called NeutroAlgebraic Structures and respectively AntiAlgebraic Structures). Let be an item (concept, attribute, idea, proposition, theory, etc.). Through the process of neutrosphication, we split the nonempty space we work on into three regions {two opposite ones corresponding to and , and one corresponding to neutral (indeterminate) (also denoted ) between the opposites}, which may or may not be disjoint – depending on the application, but they are exhaustive (their union equals the whole space). A NeutroAlgebra is an algebra which has at least one NeutroOperation or one NeutroAxiom (axiom that is true for some elements, indeterminate for other elements, and false for the other elements). A Partial Algebra is an algebra that has at least one Partial Operation, and all its Axioms are classical (i.e. axioms true for all elements). Through a theorem we prove that NeutroAlgebra is a generalization of Partial Algebra, and we give examples of NeutroAlgebras that are not Partial Algebras. We also introduce the NeutroFunction (and NeutroOperation).

NeutroAlgebra is a Generalization of Partial Algebra

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4./5 ( download)

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Book Synopsis NeutroAlgebra is a Generalization of Partial Algebra by :

Download or read book NeutroAlgebra is a Generalization of Partial Algebra written by and published by Infinite Study. This book was released on 2020-03-01 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 2019 & 2020 Smarandache generalized the classical Algebraic Structures to NeutroAlgebraic Structures (or NeutroAlgebras) {whose operations and axioms are partially true, partially indeterminate, and partially false} as extensions of Partial Algebra, and to AntiAlgebraic Structures (or AntiAlgebras) {whose operations and axioms are totally false}. And, in general, he extended any classical Structure, in no matter what field of knowledge, to a NeutroStructure and an AntiStructure.

Algebraic Structures of Symmetric Domains

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Publisher : Princeton University Press
ISBN 13 : 1400856809
Total Pages : 340 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Algebraic Structures of Symmetric Domains by : Ichiro Satake

Download or read book Algebraic Structures of Symmetric Domains written by Ichiro Satake and published by Princeton University Press. This book was released on 2014-07-14 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive treatment of the general (algebraic) theory of symmetric domains. Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and Neutrosophic Models

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Publisher : Hexis
ISBN 13 : 9781461929734
Total Pages : 150 pages
Book Rating : 4.9/5 (297 download)

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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 Hexis. This book was released on 2014-05-14 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: