On various neutrosophic topologies

Authors:
Francisco Gallego Lupiáñez
Affiliations:
Department of Mathematics, Univ. Complutense, Madrid, Spain
Venue:
FS'09 Proceedings of the 10th WSEAS international conference on Fuzzy systems
Year:
2009

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Information Sciences: an International Journal

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Abstract

Recently, F. Smarandache generalized the Atanassov's intuitionistic fuzzy sets and other kinds of sets to neutrosophic sets. Also, this author defined various notions of neutrosophic topologies on the non-standard interval. One can expect some relation between the intuitionistic fuzzy topology on an IFS and neutrosophic topologies on the non-standard interval. We show in this paper that this is false.