Abstract
In this paper, dual intuitionistic fuzzy rough approximation operators determined by an intuitionistic fuzzy implication operator \({\mathcal I}\) in infinite universes of discourse are investigated. Lower and upper approximations of intuitionistic fuzzy sets with respect to an intuitionistic fuzzy approximation space in infinite universes of discourse are first introduced. Properties of \({\mathcal I}\)-intuitionistic fuzzy rough approximation operators are then examined. Relationships between special types of intuitionistic fuzzy relations and properties of \({\mathcal I}\)-intuitionistic fuzzy rough approximation operators are further established.
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Wu, WZ., Gao, CJ., Li, TJ., Xu, YH. (2013). On Dual Intuitionistic Fuzzy Rough Approximation Operators Determined by an Intuitionistic Fuzzy Implicator. In: Ciucci, D., Inuiguchi, M., Yao, Y., Ślęzak, D., Wang, G. (eds) Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing. RSFDGrC 2013. Lecture Notes in Computer Science(), vol 8170. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41218-9_15
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DOI: https://doi.org/10.1007/978-3-642-41218-9_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-41217-2
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