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https://hdl.handle.net/10119/5000
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| Title: | A roughness measure for fuzzy sets |
| Authors: | Huynh, Van-Nam
Nakamori, Yoshiteru |
| Keywords: | Rough sets
fuzzy sets
roughness measure
rough fuzzy sets |
| Issue Date: | 2005-06-16 |
| Publisher: | Elsevier |
| Magazine name: | Information Sciences |
| Volume: | 173 |
| Number: | 1-3 |
| Start page: | 255 |
| End page: | 275 |
| DOI: | 10.1016/j.ins.2004.07.017 |
| Abstract: | Recently, an attempt of integration between the theories of fuzzy sets and rough sets has resulted in providing a roughness measure for fuzzy sets (Banerjee and Pal, 1996). 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. |
| Rights: | NOTICE: This is the author's version of a work accepted for publication by Elsevier. Van-Nam Huynh and Yoshiteru Nakamori, Information Sciences, 173(1-3), 2005, 255-275, http://dx.doi.org/10.1016/j.ins.2004.07.017 |
| URI: | https://hdl.handle.net/10119/5000 |
| Material Type: | author |
| Appears in Collections: | a10-1. 雑誌掲載論文 (Journal Articles)
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