IJPAM: Volume 10, No. 4 (2004)

ON MEASURES OF SIMILARITY BETWEEN
FUZZY ROUGH SETS

Zhang Chengyi$^1$Department of Computer Science and Mathematics, Hainan Normal University, Haikou, Hainan, 571158, P.R. CHINA, Dang Pingan$^2$, Fu Haiyan$^3$
$^{1,3}$Department of Computer Science and Mathematics
Hainan Normal University
Haikou, Hainan, 571158, P.R. CHINA
$^{1,2}$Department of Mathematics
Zhumadian Teachers College
Zhumadian, Henan, 463000, P.R. CHINA
$^1$e-mail: chengyizh@163.net


Abstract.In this paper, we first suggest some rules which are considered when we give a similarity measure for measuring the degree of similarity between elements and between fuzzy rough sets. Basing on the background of fuzzy information handling, we defined the similarity measures between elements and between fuzzy rough sets, and discussed their involved properties. Finally, a possible application of the similarity measure is mentioned. The proposed measures can provide a useful way to measure the similarity between fuzzy rough sets.

Received: November 10, 2003

AMS Subject Classification: 03E72, 04A72, 28E10, 26E50, 94D05

Key Words and Phrases: fuzzy sets, rough sets, fuzzy rough sets, similarity measure

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 10
Issue: 4