International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 70, Pages 3829-3837
A Tychonoff theorem in intuitionistic fuzzy topological spaces
1Department of Mathematics, Hacettepe University, Beytepe-Ankara 06532, Turkey
2Department of Mathematics Education, Hacettepe University, Beytepe-Ankara 06532, Turkey
Received 23 March 2004; Revised 6 October 2004
Copyright © 2004 Doğan Çoker et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The purpose of this paper is to prove a Tychonoff theorem in the
so-called “intuitionistic fuzzy topological spaces.” After
giving the fundamental definitions, such as the definitions of
intuitionistic fuzzy set, intuitionistic fuzzy topology,
intuitionistic fuzzy topological space, fuzzy continuity, fuzzy
compactness, and fuzzy dicompactness, we obtain several
preservation properties and some characterizations concerning
fuzzy compactness. Lastly we give a Tychonoff-like theorem.