Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Book
Publication Date
2014
Abstract
In this book authors build algebraic structures on fuzzy unit semi open square UF = {(a, b) | a, b [0, 1)} and on the fuzzy neutrosophic unit semi open square UN = {a + bI | a, b [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.
Publisher
Educational Publisher, Inc.- Ohio
ISSN
978-1-59973-272-5
Language (ISO)
English
Keywords
neutrosophic logic, fuzzy logic, algebra
Recommended Citation
W. B. Vasantha Kandasamy & Florentin Smarandache (eds.) Algebraic Structures on Fuzzy Unit Square and Neutrosophic Unit Square. Ohio: Educational Publisher, 2014
Creative Commons License
This work is licensed under a Creative Commons Attribution-Share Alike 4.0 International License.
Included in
Algebra Commons, Applied Mathematics Commons, Discrete Mathematics and Combinatorics Commons, Logic and Foundations Commons, Set Theory Commons
