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:

Algebraic Structures Using Super Inter Interval Matrices

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Publisher : Infinite Study
ISBN 13 : 1599731533
Total Pages : 289 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Algebraic Structures Using Super Inter Interval Matrices by : W. B. Vasantha Kandasamy, Florentin Smarandache

Download or read book Algebraic Structures Using Super Inter Interval Matrices written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2011 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Interval Linear Algebra

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Publisher : Infinite Study
ISBN 13 : 1599731266
Total Pages : 249 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Interval Linear Algebra by : W. B. Vasantha Kandasamy, Florentin Smarandache

Download or read book Interval Linear Algebra written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2010 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interval Arithmetic, or Interval Mathematics, was developed in the 1950s and 1960s as an approach to rounding errors in mathematical computations. However, there was no methodical development of interval algebraic structures to this date.This book provides a systematic analysis of interval algebraic structures, viz. interval linear algebra, using intervals of the form [0, a].

Interval Algebraic Bistructures

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Publisher : Infinite Study
ISBN 13 : 1599731401
Total Pages : 210 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Interval Algebraic Bistructures by : W.B. Vasantha Kandansamy, Florentin Smarandache

Download or read book Interval Algebraic Bistructures written by W.B. Vasantha Kandansamy, Florentin Smarandache and published by Infinite Study. This book was released on with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Structures on Finite Complex Modulo Integer Interval C([0, n))

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Publisher : Infinite Study
ISBN 13 : 1599732920
Total Pages : 237 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Algebraic Structures on Finite Complex Modulo Integer Interval C([0, n)) by : W. B. Vasantha Kandasamy

Download or read book Algebraic Structures on Finite Complex Modulo Integer Interval C([0, n)) written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2014-09-16 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors introduce the notion of finite complex modulo integer intervals. Finite complex modulo integers was introduced by the authors in 2011. Now using this finite complex modulo integer intervals several algebraic structures are built.

Exploring the Extension of Natural Operations on Intervals, Matrices and Complex Numbers

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Publisher : Infinite Study
ISBN 13 : 1599731797
Total Pages : 152 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Exploring the Extension of Natural Operations on Intervals, Matrices and Complex Numbers by : W. B. Vasantha Kandasamy, Florentin Smarandache

Download or read book Exploring the Extension of Natural Operations on Intervals, Matrices and Complex Numbers written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2012 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we explore the possibility of extending the natural operations on reals to intervals and matrices. The extension to intervals makes us define a natural class of intervals in which we accept [a, b], a greater than b. Further, we introduce a complex modulo integer in Z_n (n, a positive integer) and denote it by iF with iF^2 = n-1.

Algebraic Structures Using Super Interval Matrices

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Publisher :
ISBN 13 : 9781461914044
Total Pages : pages
Book Rating : 4.9/5 (14 download)

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Book Synopsis Algebraic Structures Using Super Interval Matrices by : W. B. Vasantha Kandasamy

Download or read book Algebraic Structures Using Super Interval Matrices written by W. B. Vasantha Kandasamy and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Structures

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Publisher : Springer Science & Business Media
ISBN 13 : 3322802787
Total Pages : 174 pages
Book Rating : 4.3/5 (228 download)

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Book Synopsis Algebraic Structures by : George R. Kempf

Download or read book Algebraic Structures written by George R. Kempf and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: In algebra there are four basic structures: groups, rings, fields and modules. In this book the theory of these basic structures is presented and the laws of composition - the basic operations of algebra - are studied. Essentially, no previous knowledge is required, it is only assumed as background that the reader has learned some linear algebra over the real numbers.Dieses Lehrbuch, verfasst von einem anerkannten amerikanischen Mathematiker, ist eine unkonventionelle Einführung in die Algebra. Es gibt vier grundlegende Strukturen in der Algebra: Gruppen, Ringe, Körper und Moduln. Das Buch behandelt die Theorie dieser Strukturen und beschreibt die Verknüpfungsregeln, die grundlegenden Operationen der Algebra. Die Darstellung ist elementar: es werden nur Kenntnisse der Linearen Algebra vorausgesetzt, weitere Fachkenntnisse sind nicht erforderlich.

Special Type of Topological Spaces Using [0, n)

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Publisher : Infinite Study
ISBN 13 : 1599733331
Total Pages : 230 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Special Type of Topological Spaces Using [0, n) by : W. B. Vasantha Kandasamy

Download or read book Special Type of Topological Spaces Using [0, n) written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2015-02-15 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors for the first time introduce the notion of special type of topological spaces using the interval [0, n). They are very different from the usual topological spaces. Algebraic structure using the interval [0, n) have been systemically dealt by the authors. Now using those algebraic structures in this book authors introduce the notion of special type of topological spaces. Using the super subset interval semigroup special type of super interval topological spaces are built.

Ordered Algebraic Structures

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Publisher : CRC Press
ISBN 13 : 9789056993252
Total Pages : 214 pages
Book Rating : 4.9/5 (932 download)

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Book Synopsis Ordered Algebraic Structures by : W. Charles Holland

Download or read book Ordered Algebraic Structures written by W. Charles Holland and published by CRC Press. This book was released on 2001-04-01 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an outcome of the conference on ordered algebraic structures held at Nanjing. It covers a range of topics: lattice theory, ordered semi groups, partially ordered groups, totally ordered groups, lattice-ordered groups, and ordered fields.

Topological Structures via Interval-Valued Neutrosophic Crisp Sets

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 29 pages
Book Rating : 4./5 ( download)

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Book Synopsis Topological Structures via Interval-Valued Neutrosophic Crisp Sets by : Dongsik Jo

Download or read book Topological Structures via Interval-Valued Neutrosophic Crisp Sets written by Dongsik Jo and published by Infinite Study. This book was released on with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce the new notion of interval-valued neutrosophic crisp sets providing a tool for approximating undefinable or complex concepts in real world. First, we deal with some of its algebraic structures. We also define an interval-valued neutrosophic crisp (vanishing) point and obtain some of its properties. Next, we define an interval-valued neutrosophic crisp topology, base (subbase), neighborhood, and interior (closure), respectively and investigate some of each property, and give some examples. Finally, we define an interval-valued neutrosophic crisp continuity and quotient topology and study some of each property.

Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures

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Publisher : IGI Global
ISBN 13 : 1799801926
Total Pages : 439 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures by : Jana, Chiranjibe

Download or read book Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures written by Jana, Chiranjibe and published by IGI Global. This book was released on 2019-10-25 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the world of mathematics, the study of fuzzy relations and its theories are well-documented and a staple in the area of calculative methods. What many researchers and scientists overlook is how fuzzy theory can be applied to industries outside of arithmetic. The framework of fuzzy logic is much broader than professionals realize. There is a lack of research on the full potential this theoretical model can reach. The Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures provides emerging research exploring the theoretical and practical aspects of fuzzy set theory and its real-life applications within the fields of engineering and science. Featuring coverage on a broad range of topics such as complex systems, topological spaces, and linear transformations, this book is ideally designed for academicians, professionals, and students seeking current research on innovations in fuzzy logic in algebra and other matrices.

Modal Interval Analysis

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Publisher : Springer
ISBN 13 : 3319017217
Total Pages : 330 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Modal Interval Analysis by : Miguel A. Sainz

Download or read book Modal Interval Analysis written by Miguel A. Sainz and published by Springer. This book was released on 2013-11-18 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an innovative new approach to interval analysis. Modal Interval Analysis (MIA) is an attempt to go beyond the limitations of classic intervals in terms of their structural, algebraic and logical features. The starting point of MIA is quite simple: It consists in defining a modal interval that attaches a quantifier to a classical interval and in introducing the basic relation of inclusion between modal intervals through the inclusion of the sets of predicates they accept. This modal approach introduces interval extensions of the real continuous functions, identifies equivalences between logical formulas and interval inclusions, and provides the semantic theorems that justify these equivalences, along with guidelines for arriving at these inclusions. Applications of these equivalences in different areas illustrate the obtained results. The book also presents a new interval object: marks, which aspire to be a new form of numerical treatment of errors in measurements and computations.

Topological Structures via Interval-Valued Neutrosophic Crisp Sets

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Author :
Publisher : Infinite Study
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4./5 ( download)

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Book Synopsis Topological Structures via Interval-Valued Neutrosophic Crisp Sets by : Dongsik Jo

Download or read book Topological Structures via Interval-Valued Neutrosophic Crisp Sets written by Dongsik Jo and published by Infinite Study. This book was released on with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce the new notion of interval-valued neutrosophic crisp sets providing a tool for approximating undefinable or complex concepts in real world. First, we deal with some of its algebraic structures. We also define an interval-valued neutrosophic crisp (vanishing) point and obtain some of its properties. Next, we define an interval-valued neutrosophic crisp topology, base (subbase), neighborhood, and interior (closure), respectively and investigate some of each property, and give some examples. Finally, we define an interval-valued neutrosophic crisp continuity and quotient topology and study some of each property.

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.

Neutrosophic Interval Bialgebraic Structures

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Publisher : Infinite Study
ISBN 13 : 1599731665
Total Pages : 197 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Neutrosophic Interval Bialgebraic Structures by : W. B. Vasantha Kandasamy, Florentin Smarandache

Download or read book Neutrosophic Interval Bialgebraic Structures written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2011 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets

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Author :
Publisher : MDPI
ISBN 13 : 303897384X
Total Pages : 478 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets by : Florentin Smarandache

Download or read book Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets written by Florentin Smarandache and published by MDPI. This book was released on 2019-04-04 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set. This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers. Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. And numerous neutrosophic applications in various fields, such as: multi-criteria decision making, image segmentation, medical diagnosis, fault diagnosis, clustering data, neutrosophic probability, human resource management, strategic planning, forecasting model, multi-granulation, supplier selection problems, typhoon disaster evaluation, skin lesson detection, mining algorithm for big data analysis, etc.