Algebraic Structures on Fuzzy Unit Square and Neutrosophic Unit Square

By Kandasamy, W. B. Vasantha

Book Id: WPLBN0100302939
Format Type: PDF eBook:
File Size: 3.15 MB
Reproduction Date: 10/10/2014

Title:	Algebraic Structures on Fuzzy Unit Square and Neutrosophic Unit Square
Author:	Kandasamy, W. B. Vasantha
Volume:
Language:	English
Subject:	Non Fiction, General Works (Periodicals, Series, idexes, Almanacs, etc.)
Collections:	Authors Community, Mathematics
Historic Publication Date:	2014
Publisher:	Educational Publisher

Member Page:	Infinite Science
Citation APA MLA Chicago B. Vasantha Kandasam, B. W., & Smarandache, F. (2014). Algebraic Structures on Fuzzy Unit Square and Neutrosophic Unit Square. Retrieved from http://www.gutenberg.cc/

Description
In this book authors build algebraic structures on fuzzy unit semi open square UF = {(a, b) | a, b ε [0, 1)} and on the fuzzy neutrosophic unit semi open square UN = {a + bI | a, b ε [0, 1)}. This study is new and we define, develop and describe several interesting and innovative theories about them. We cannot build ring on UN or UF. We have only pseudo rings of infinite order. We also build pseudo semirings using these semi open unit squares. We construct vector spaces, S-vector spaces and strong pseudo special vector space using UF and UN. As distributive laws are not true we are not in a position to develop several properties of rings, semirings and linear algebras. Several open conjectures are proposed.