A note on "New estimation method for the membership values in fuzzy sets"

Citation
Em. Abdelrahim et T. Yahagi, A note on "New estimation method for the membership values in fuzzy sets", IEICE T INF, E84D(5), 2001, pp. 675-678
Citations number
5
Categorie Soggetti
Information Tecnology & Communication Systems
Journal title
IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS
ISSN journal
09168532 → ACNP
Volume
E84D
Issue
5
Year of publication
2001
Pages
675 - 678
Database
ISI
SICI code
0916-8532(200105)E84D:5<675:ANO"EM>2.0.ZU;2-Y
Abstract
Chen at al. [1], have proposed a new estimation method for the membership v alues in fuzzy sets. The proposed scheme takes input from empirical/experim ental data, which reflect the expert's knowledge on the relative degree of belonging of the members, and then searches for the best fit membership val ues of tilt element. Through the estimation of the practical case (Sect. 3 in [1]) the algorithm suggests to normalize the estimated membership values if there is any among them more than one and change some condition to guar antee its positiveness. In this paper, we show how to use the same imposed condition to guarantee that the estimated membership values will be within the unit; interval without normalization.