W. B. Vasantha Kandasamy, Florentin Smarandache
2015
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?”. The authors have constructed a class of natural neutrosophic numbers. Further there are more natural neutrosophic numbers in the MOD interval [0, m). This concept is thoroughly analysed in the second chapter. Using all types of MOD planes and MOD intervals, the authors have generated both natural neutrosophic numbers and MOD neutrosophic numbers. Further the MOD intervals and MOD planes have a special type of zero divisors. Such type of zero divisors are termed as special pseudo zero divisors leading to the definition of special pseudo zero divisors and MOD neutrosophic numbers apart from natural (MOD) neutrosophic nilpotents, zero divisors and idempotents. Lots of open problems are suggested in this book. Certainly this paradigm of shift will give a new approach to the notion of neutrosophy.
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