A new extension of fuzzy sets using rough sets: R-Fuzzy Sets

Date

2010

Advisors

Journal Title

Journal ISSN

ISSN

0020-0255

Volume Title

Publisher

Elsevier

Type

Article

Peer reviewed

Yes

Abstract

This paper presents a new extension of fuzzy sets: R-fuzzy sets. The membership of an element of a R-fuzzy set is represented as a rough set. This new extension facilitates the representation of an uncertain fuzzy membership with a rough approximation. Based on our definition of R-fuzzy sets and their operations, the relationships between R-fuzzy sets and other fuzzy sets are discussed and some examples are provided.

Description

Keywords

Fuzzy sets, rough sets, R-fuzzy sets

Citation

Yang, Y. and Hinde, C. (2010) A new extension of fuzzy sets using rough sets: R-Fuzzy Sets. Information Sciences, 180, (3), pp 354-365

Rights

Research Institute

Institute of Artificial Intelligence (IAI)