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A Geometric Interpretation of the Neutrosophic Set - A Generalization of the Intuitionistic Fuzzy Set
In this paper we generalize the intuitionistic fuzzy set (IFS),
paraconsistent set, and intuitionistic set to the neutrosophic set (NS).
Several examples are presented. Also, a geometric interpretation of the
Neutrosophic Set is given using a Neutrosophic Cube. Many distinctions between
NS and IFS are underlined.Comment: 9 pages. Presented at the 2003 BISC FLINT-CIBI International Workshop
on Soft Computing for Internet and Bioinformatics, University of Berkeley,
California, December 15-19, 2003, under the title "Generalization of the
Intuitionistic Fuzzy Set to the Neutrosophic Set
About Nonstandard Neutrosophic Logic (Answers to Imamura 'Note on the Definition of Neutrosophic Logic')
In order to more accurately situate and fit the neutrosophic logic into the
framework of nonstandard analysis, we present the neutrosophic inequalities,
neutrosophic equality, neutrosophic infimum and supremum, neutrosophic standard
intervals, including the cases when the neutrosophic logic standard and
nonstandard components T, I, F get values outside of the classical real unit
interval [0, 1], and a brief evolution of neutrosophic operators. The paper
intends to answer Imamura criticism that we found benefic in better
understanding the nonstandard neutrosophic logic, although the nonstandard
neutrosophic logic was never used in practical applications.Comment: 16 page
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