Smarandache Neutrosophic Algebraic Structures
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Smarandache Neutrosophic Algebraic Structures
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2006-01-01
Smarandache Neutrosophic Algebraic Structures written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Mathematics categories.
Smarandache algebraic structures that inter-relates two distinct algebraic structures and analyzes them relatively can be considered a paradigm shift in the study of algebraic structures. For instance, the algebraic structure Smarandache semigroup simultaneously involves both group and semigroup.Recently, Neutrosophic Algebraic Structures were introduced. This book ventures to define Smarandache Neutrosophic Algebraic Structures.Here, Smarandache neutrosophic structures of groups, semigroups, loops and groupoids and their N-ary structures are introduced and analyzed. There is a lot of scope for interested researchers to develop these concepts.
Some Neutrosophic Algebraic Structures And Neutrosophic N Algebraic Structures
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2006-01-01
Some Neutrosophic Algebraic Structures And Neutrosophic N Algebraic Structures written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Mathematics categories.
This book for the first time introduces neutrosophic groups, neutrosophic semigroups, neutrosophic loops and neutrosophic groupoids and their neutrosophic N-structures.The special feature of this book is that it tries to analyze when the general neutrosophic algebraic structures like loops, semigroups and groupoids satisfy some of the classical theorems for finite groups viz. Lagrange, Sylow, and Cauchy.This is mainly carried out to know more about these neutrosophic algebraic structures and their neutrosophic N-algebraic structures.
Some Neutrosophic Algebraic Structures And Neutrosophic N Algebraic Structures
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Author : W. B. Vasantha Kandasamy
language : en
Publisher:
Release Date : 2014-05-14
Some Neutrosophic Algebraic Structures And Neutrosophic N Algebraic Structures written by W. B. Vasantha Kandasamy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
T I F Neutrosophic Structures I Neutrosophic Structures Revisited
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :
T I F Neutrosophic Structures I Neutrosophic Structures Revisited written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
This paper is an improvement of our paper “(t, i, f)-Neutrosophic Structures” [1], where 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.
Neutrosophic Algebraic Structures And Their Applications
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2022-08-01
Neutrosophic Algebraic Structures And Their Applications written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-01 with Mathematics categories.
Neutrosophic theory and its applications have been expanding in all directions at an astonishing rate especially after of the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc. The different hybrid structures such as rough neutrosophic set, single valued neutrosophic rough set, bipolar neutrosophic set, single valued neutrosophic hesitant fuzzy set, etc. are proposed in the literature in a short period of time. Neutrosophic set has been an important tool in the application of various areas such as data mining, decision making, e-learning, engineering, medicine, social science, and some more.
Algebraic Structures On Fuzzy Unit Square And Neutrosophic Unit Square
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date :
Algebraic Structures On Fuzzy Unit Square And Neutrosophic Unit Square written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
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.
The Algebraic Structure On The Neutrosophic Triplet Set
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Author : S. Suryoto
language : en
Publisher: Infinite Study
Release Date :
The Algebraic Structure On The Neutrosophic Triplet Set written by S. Suryoto and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
The notion of the neutrosophic triplet was introduced by Smarandache and Ali. This notion is based on the fundamental law of neutrosophy that for an idea X, we have neutral of X denoted as neut(X) and anti of X denoted as anti(X). This paper studied a neutrosophic triplet set which is a collection of all triple of three elements that satisfy certain properties with some binary operation. Also given some interesting properties related to them. Further, in this paper investigated that from the neutrosophic triplet group can construct a classical group under multiplicative operation for ℤ𝑛 , for some specific n. These neutrosophic triplet groups are built using only modulo integer 2p, with p is an odd prime or Cayley table.
Algebraic Structure Of Neutrosophic Duplets In Neutrosophic Rings
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Author : Vasantha W.B. Kandasamy
language : en
Publisher: Infinite Study
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Algebraic Structure Of Neutrosophic Duplets In Neutrosophic Rings written by Vasantha W.B. Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
The concept of neutrosophy and indeterminacy I was introduced by Smarandache, to deal with neutralities. Since then the notions of neutrosophic rings, neutrosophic semigroups and other algebraic structures have been developed. Neutrosophic duplets and their properties were introduced by Florentin and other researchers have pursued this study.In this paper authors determine the neutrosophic duplets in neutrosophic rings of characteristic zero.
Soft Neutrosophic Algebraic Structures And Their Generalization Vol 2
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Author : Mumtaz Ali
language : en
Publisher: Infinite Study
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Soft Neutrosophic Algebraic Structures And Their Generalization Vol 2 written by Mumtaz Ali and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
In this book, the authors define several new types of soft neutrosophic algebraic structures over neutrosophic algebraic structures and we study their generalizations. These soft neutrosophic algebraic structures are basically parameterized collections of neutrosophic sub-algebraic structures of the neutrosophic algebraic structure. An important feature of this book is that the authors introduce the soft neutrosophic group ring, soft neutrosophic semigroup ring with its generalization, and soft mixed neutrosophic N-algebraic structure over neutrosophic group ring, then the neutrosophic semigroup ring and mixed neutrosophic N-algebraic structure respectively.
Basic Neutrosophic Algebraic Structures And Their Application To Fuzzy And Neutrosophic Models
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2004-01-01
Basic Neutrosophic Algebraic Structures And Their Application To Fuzzy And Neutrosophic Models written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Mathematics categories.
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.