International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 69-72, Pages 3829-3837
doi:10.1155/S0161171204403603
A Tychonoff theorem in intuitionistic fuzzy topological spaces
Doğan Çoker1
, A.Haydar Eş1
and Necla Turanli3
1Department of Mathematics, Hacettepe University, Beytepe-Ankara 06532, Turkey
3Department of Mathematics Education, Hacettepe University, Beytepe-Ankara 06532, Turkey
Abstract
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.