Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Book
Publication Date
2015
Abstract
In this book for the first time authors study mod planes using modulo intervals [0, m); 2 ≤ m ≤ ∞. These planes unlike the real plane have only one quadrant so the study is carried out in a compact space but infinite in dimension. We have given seven mod planes viz real mod planes (mod real plane) finite complex mod plane, neutrosophic mod plane, fuzzy mod plane, (or mod fuzzy plane), mod dual number plane, mod special dual like number plane and mod special quasi dual number plane. These mod planes unlike real plane or complex plane or neutrosophic plane or dual number plane or special dual like number plane or special quasi dual number plane are infinite in numbers. Further for the first time we give a plane structure to the fuzzy product set [0, 1) × [0, 1); where 1 is not included; this is defined as the mod fuzzy plane. Several properties are derived.
Publisher
EuropaNova, Brussels
ISSN
978-1-59973-363-0
Language (ISO)
English
Keywords
mod planes, fuzzy mod planes, neutrosophic mod planes
Recommended Citation
W.B. Vasantha Kandasamy, K. Ilanthenral, F. Smarandache. MOD Planes: A New Dimension to Modulo Theory. Brussels: EuropaNova, 2015.
Creative Commons License
This work is licensed under a Creative Commons Attribution-Share Alike 4.0 International License.
Included in
Algebra Commons, Algebraic Geometry Commons, Analysis Commons, Applied Mathematics Commons, Discrete Mathematics and Combinatorics Commons, Number Theory Commons, Other Mathematics Commons
