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

By W. B. Vasantha Kandasamy

Description
introduction of neutrosophic theory has put forth a significant concept by giving representation to indeterminates. Uncertainty or indeterminacy happen to be one of the major factors in almost all real-world problems. When uncertainty is modeled we use fuzzy theory and when indeterminacy is involved we use neutrosophic theory. Most of the fuzzy models which deal with the analysis and study of unsupervised data make use of the directed graphs or bipartite graphs. Thus the use of graphs has become inevitable in fuzzy models. The neutrosophic models are fuzzy models that permit the factor of indeterminacy. It also plays a significant role, and utilizes the concept of neutrosophic graphs. Thus neutrosophic graphs and neutrosophic bipartite graphs plays the role of representing the neutrosophic models. Thus to construct the neutrosophic graphs one needs some of the neutrosophic algebraic structures viz. neutrosophic fields, neutrosophic vector spaces and neutrosophic matrices. So we for the first time introduce and study these concepts. As our analysis in this book is application of neutrosophic algebraic structure we found it deem fit to first introduce and study neutrosophic graphs and their applications to neutrosophic models.

Book Id: WPLBN0002097100
Format Type: pdf
File Size: 706 KB
Reproduction Date: 9/2/2011
Full Text

Title:

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

Author:

W. B. Vasantha Kandasamy

Volume:

Language:

English

Subject:

Non Fiction, Mathematics, Smarandache Collections

Collection:

Authors Community

Subcollection:

Mathematics

Historic
Publication Date:

2004

Publisher:

HEXIS, Church Rock

Member Page:

Florentin Smarandache

Related Titles: Click to view all Related Titles

O Na Mole E Ke Anahonua (About the Roots... (by A. M. Legendre)
(0)
Na Haawina Mua O Ka Hoailona Helu (First... (by Lahainaluna)
(0)
He Huinahelu (A Combined Arithmetic) (by George Leonard)
(0)
He Helu Kamalii (A Child's Arithmetic) (by Wiliama Fowle)
(0)
Principa Mathematica (by Isaac Newton)
(0)
Mathematics for Computer Scientists (by Janacek, Gareth, J.)
(0)
The Warp Drive : Hyper-fast Travel Withi... (by Alcubierre, Miguel)
(0)
The Air War in Southeast Asia : Case Stu... (by Herman L. Gilster)
(0)
Smarandache Fuzzy Algebra (by W. B. Vasantha Kandasamy)
(0)
Bialgebraic Structures and Smarandache B... (by W. B. Vasantha Kandasamy)
(0)
Smarandache Non-Associative Rings (by W. B. Vasantha Kandasamy)
(0)
Smarandache Near-Rings (by W. B. Vasantha Kandasamy)
(0)

Other Books I Looked at: Click to view all Books in my History

Basic Neutrosophic Algebraic Structures ... (by W. B. Vasantha Kandasamy)
(0)

People also read these books: Click to view all Additional Books

Higher Education of Women in Europe (by Helene Lange)
(200)
Big Cats (by Beesley, Angela)
(14)
A Dream of Armageddon (by Wells, Herbert George)
(132)
A Coercive League Contrary to the Teachi... (by Theodore Stanfield)
(3)
Proceedings of the American Political Sc... (by American Political Science Association Meeting)
(2)
The Book of Dreams and Ghosts (by Lang, Andrew)
(155)
Zvit Dyrektsyï Ts. K. Akademichnoï Gimna... (by Ukraïnska Akademichna Himnaziia U Lvovi)
(3)
Z Zhurboiu Radist Obnialas (by Oles, O.)
(3)
Zvukolirnist : Poeziï (Knyzhka Druha) (by Polishchuk, Klym)
(3)
Rossiia Nakanunie Dvadtsatago Stolietiia (by Chicherin, Boris Nikolaevich)
(3)
The Strange Disappearance of Joe Cardona (by Grant, Maxwell)
(118)
Damaged Goods (by Sinclair, Upton)
(118)

Other Books by Same Author: Click to view all books by W. B. Vasantha Kandasamy

Fuzzy and Neutrosophic Analysis of Women... (by W. B. Vasantha Kandasamy)
(0)
Smarandache Semigroups (by W. B. Vasantha Kandasamy)
(0)
Basic Neutrosophic Algebraic Structures ... (by W. B. Vasantha Kandasamy)
(0)
Fuzzy Cognitive Maps and Neutrosophic Co... (by W. B. Vasantha Kandasamy)
(0)
Analysis of Social Aspects of Migrant La... (by W. B. Vasantha Kandasamy)
(0)
Fuzzy Relational Maps and Neutrosophic R... (by W. B. Vasantha Kandasamy)
(0)
Fuzzy and Neutrosophic Analysis of Periy... (by W. B. Vasantha Kandasamy)
(0)
Groupoids and Smarandache Groupoids (by W. B. Vasantha Kandasamy)
(0)
Smarandache Semirings, Semifields, And S... (by W. B. Vasantha Kandasamy)
(0)
Smarandache Loops (by W. B. Vasantha Kandasamy)
(0)

Other Books with Same Subject: Click to view all books in Non Fiction, Mathematics, Smarandache Collections

An Introduction to Algebra, With Notes a... (by Bonnycastle, John)
(200)
Bradbury's Elementary Algebra (by Bradbury, William Frothingham)
(118)
The British Dominions in North America, ... (by Joseph Bouchette)
(132)
The British Dominions in North America, ... (by Joseph Bouchette)
(175)
Bulletin of the American Geographical an...
(118)
Business Arithmetic for Secondary School... (by Thurston, E. L. Ernest Lawton)
(132)
Beginners' Algebra (by Comstock, Clarence Elmer)
(200)
A Binary Canon, Showing Residues of Powe... (by Cunningham, Allan)
(155)
Elements of Algebra : On the Basis of M.... (by Davies, Charles)
(200)
A Text-Book of Geometry (by Wentworth, George Albert)
(200)