A TYCHONOFF THEOREM IN INTUITIONISTIC FUZZY TOPOLOGICAL SPACES

A TYCHONOFF THEOREM IN INTUITIONISTIC FUZZY TOPOLOGICAL SPACES

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...

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Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences 2004, Vol.2004 (70), p.3829-3837-296
Hauptverfasser: Coker, Dogan, Es, A Hayder, Turanli, Necla
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171204403603