IJPAM: Volume 47, No. 1 (2008)

A NEW SIMILARITY MEASURE ON FUZZY ROUGH SETS

Niu Qi$^1$, Zhang Chengyi$^2$
$^1$Department of Mathematics
Zhumadian Education College
Zhumadian, Henan, 463000, P.R. CHINA
$^2$Department of Mathematics
Hainan Normal University
Haikou, Hainan, 571158, P.R. CHINA


Abstract.In this paper, we suggest some rules which are considered when we give a similarity measure for measuring of the degree of similarity between fuzzy rough sets and their elements. We propose a new similarity measures for measuring the degree of similarity between fuzzy rough sets and their elements. Finally, we illustrate the problem in the context of colorectal cancer diagnosis by similarity measure between fuzzy rough sets.

Received: May 3, 2008

AMS Subject Classification: 03E72, 04A72

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

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 47
Issue: 1