Fuzzy implication operators in variable precision fuzzy rough sets model

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Abstract

This paper presents the variable precision fuzzy rough sets (VPFRS) model, which constitutes a generalisation of the extended variable precision rough set (VPRS) concept. The notion of the α-inclusion error based on the fuzzy implication operators will be introduced. Additionally to extending the basic definition of the fuzzy rough approximations, an idea of the weighted mean fuzzy rough approximations will be given. In an illustrating example the most popular residual implicators will be used.

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Mieszkowicz-Rolka, A., & Rolka, L. (2004). Fuzzy implication operators in variable precision fuzzy rough sets model. In Lecture Notes in Artificial Intelligence (Subseries of Lecture Notes in Computer Science) (Vol. 3070, pp. 498–503). Springer Verlag. https://doi.org/10.1007/978-3-540-24844-6_74

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