The combination of fuzzy set and rough set theories lead to various models. Functional and set approaches are two categories based on different fuzzy representations. In this paper, we study rough approximations based on the notion of level fuzzy sets. Two rough approximation models, namely α-level rough set and β-level rough set, are proposed. It shows that β-level fuzzy rough set model can approximate a fuzzy set at different precisions.
CITATION STYLE
Liu, W. N., Yao, J. T., & Yao, Y. (2004). Rough approximations under level fuzzy sets. In Lecture Notes in Artificial Intelligence (Subseries of Lecture Notes in Computer Science) (Vol. 3066, pp. 78–83). Springer Verlag. https://doi.org/10.1007/978-3-540-25929-9_8
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