IJPAM: Volume 31, No. 2 (2006)

ON THE HAUSDORFF INTUITIONISTIC FUZZY
METRIC ON COMPACT SETS

Hakan Efe$^{1}$, Cemil Yildiz$^{2}$
$^{1,2}$Department of Mathematics
Faculty of Science and Arts
Gazi University
Teknikokullar, Ankara, 06500, TURKEY
$^{1}$e-mail: hakanefe@gazi.edu.tr
$^{2}$e-mail: cyildiz@gazi.edu.tr


Abstract.In this paper, we give important properties as completeness, completion and precompactness of Hausdorff intuitionistic fuzzy metric spaces which is given by Gregori et al [13] and establish the precise relationship between the Hausdorff metric of a metric space $(X,d)$ and the Hausdorff intuitionistic fuzzy metric of the standart intuitionistic fuzzy metric of $d$, and give two examples.

Received: June 6, 2006

AMS Subject Classification: 54A40, 54E35, 54E40

Key Words and Phrases: continuous t-norm, continuous t-conorm, intuitionistic fuzzy metric, Hausdorff intuitionistic fuzzy metric, compact subset

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 31
Issue: 2