IJPAM: Volume 24, No. 3 (2005)

NEUTROSOPHIC SET - A GENERALIZATION OF
THE INTUITIONISTIC FUZZY SET

Florentin Smarandache
Department of Mathematics
The University of New Mexico - Gallup Campus
200 College Road, Gallup, NM 87301, USA
e-mail: smarand@unm.edu


Abstract.In this paper we generalize the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.

Received: June 1, 2005

AMS Subject Classification: 03B99, 03E99

Key Words and Phrases: intuitionistic fuzzy set, paraconsistent set, intuitionistic set, neutrosophic set, non-standard analysis, philosophy

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 24
Issue: 3