IJPAM: Volume 22, No. 1 (2005)

A CLASS OF $I$-TOPOLOGICAL SPACES INDUCED
FROM METRIC SPACES USING FUZZY POINTS

Jung-Chan Chang$^1$, Hsinjung Chen$^2$, Wei-Cheng Lian$^3$
$^1$Department of Applied Mathematics
I-Shou University
Ta-Hsu, Kaohsiung, 84008, TAIWAN, R.O.C.
e-mail: jcchang$@$isu.edu.tw
$^{2,3}$Department of Information Management
National Kaohsiung Marine University
Hai Chuan Road 142, Kaohsiung, 811, TAIWAN, R.O.C.
$^2$e-mail: htchen$@$mail.nkmu.edu.tw
$^3$e-mail: wclian$@$mail.nkmu.edu.tw


Abstract.In this article we discuss the corresponding relation between $I$-topology and crisp topology. We also establish some characteristic of the $I$-open and $I$-closed sets. The relations between continuous mappings and $I$-continuous mappings are also discussed.

Received: May 1, 2005

AMS Subject Classification: 54A05, 54A40

Key Words and Phrases: $I$-topology, $I$-continuous function, $I$-open mapping theorem

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 22
Issue: 1