Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Book
Publication Date
2015
Abstract
In this book authors answer the question proposed by Florentin Smarandache “Does there exist neutrosophic numbers which are such that they take values differently and behave differently from I; the indeterminate?”. We have constructed a class of natural neutrosophic numbers m 0I , m xI , m yI , m zI where m 0I × m 0I = m 0I , m xI × m xI = m xI and m yI × m yI = m yI and m yI × m xI = m 0I and m zI × m zI = m 0I . Here take m = 12, x = 4, y = 9 and z = 6. For more refer chapter one of this book. Thus we have defined or introduced natural neutrosophic numbers using Zm under division. Further there are more natural neutrosophic numbers in the MOD interval [0, m). This concept is thoroughly analysed in chapter two.
Publisher
EuropaNova, Brussels
ISSN
978-1-59973-366-1
Language (ISO)
English
Keywords
neutrosophic numbers, neutrosophic logic, number theory
Recommended Citation
W.B. Vasantha Kandasamy, K. Ilanthenral, & F. Smarandache. Natural Neutrosophic Numbers and MOD Neutrosophic Numbers. Brussels: EuropaNova ASBL, 2015.
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