Algebraic Structures Using Natural Class of Intervals
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
Published: 2011
Total Pages: 172
ISBN-13: 1599731355
DOWNLOAD EBOOK →Lanterna Rally
eBook PDF Download Digital Library
Algebraic Structures Using Super Inter Interval Matrices
Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
Published: 2011
Total Pages: 289
ISBN-13: 1599731533
DOWNLOAD EBOOK →Interval Linear Algebra
Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
Published: 2010
Total Pages: 249
ISBN-13: 1599731266
DOWNLOAD EBOOK →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].
Algebraic Structures on Finite Complex Modulo Integer Interval C([0, n))
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
Published: 2014-09-16
Total Pages: 237
ISBN-13: 1599732920
DOWNLOAD EBOOK →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
Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
Published: 2012
Total Pages: 152
ISBN-13: 1599731797
DOWNLOAD EBOOK →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.
Interval Algebraic Bistructures
Author: W.B. Vasantha Kandansamy, Florentin Smarandache
Publisher: Infinite Study
Published:
Total Pages: 210
ISBN-13: 1599731401
DOWNLOAD EBOOK →Ordered Algebraic Structures
Author: W. Charles Holland
Publisher: CRC Press
Published: 2001-04-01
Total Pages: 214
ISBN-13: 9789056993252
DOWNLOAD EBOOK →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.
Special Type of Topological Spaces Using [0, n)
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
Published: 2015-02-15
Total Pages: 230
ISBN-13: 1599733331
DOWNLOAD EBOOK →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.
Topological Structures via Interval-Valued Neutrosophic Crisp Sets
Author: Dongsik Jo
Publisher: Infinite Study
Published:
Total Pages: 30
ISBN-13:
DOWNLOAD EBOOK →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.
Topological Structures via Interval-Valued Neutrosophic Crisp Sets
Author: Dongsik Jo
Publisher: Infinite Study
Published:
Total Pages: 29
ISBN-13:
DOWNLOAD EBOOK →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.
