期刊
INFORMATION SCIENCES
卷 173, 期 1-3, 页码 255-275出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2004.07.017
关键词
rough sets; fuzzy sets; roughness measure; rough fuzzy sets
Recently, an attempt of integration between the theories of fuzzy sets and rough sets has resulted in providing a roughness measure for fuzzy sets [M. Banerjee, S.K. Pal, Roughness of a fuzzy set, Information Sciences 93 (1996) 235-246]. Essentially, Banerjee and Pal's roughness measure depends on parameters that are designed as thresholds of definiteness and possibility in membership of the objects to a fuzzy set. In this paper we first remark that this measure of roughness has several undesirable properties, and then propose a parameter-free roughness measure for fuzzy sets based on the notion of the mass assignment of a fuzzy set. Several interesting properties of this new measure are examined. Furthermore, we also discuss how the proposed approach is used to describe the rough approximation quality of a fuzzy classification. (c) 2004 Elsevier Inc. All rights reserved.
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