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

Creative Commons License

Creative Commons Attribution-Share Alike 4.0 License
This work is licensed under a Creative Commons Attribution-Share Alike 4.0 License.

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