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

By W. B. Vasantha Kandasamy

Book Id: WPLBN0002097100
Format Type: PDF eBook:
File Size: 0.7 MB
Reproduction Date: 9/2/2011

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
Collections:	Mathematics, Algebra, Math, Special Collection Mathematics, Authors Community, Literature, Most Popular Books in China, Favorites in India
Historic Publication Date:
Publisher:	Hexis, Church Rock

Member Page:	Florentin Smarandache
Citation APA MLA Chicago B. Vasantha Kandasamy And Florentin Smarandach, B. W. (n.d.). Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and Neutrosophic Models. Retrieved from http://www.self.gutenberg.org/

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.