Intuitionistic fuzzy rough approximation operators determined by intuitionistic fuzzy triangular norms

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Abstract

In this paper, relation-based intuitionistic fuzzy rough approximation operators determined by an intuitionistic fuzzy triangular norm T are investigated. By employing an intuitionistic fuzzy triangular norm T and its dual intuitionistic fuzzy triangular conorm, lower and upper approximations of intuitionistic fuzzy sets with respect to an intuitionistic fuzzy approximation space are first introduced. Properties of T -intuitionistic fuzzy rough approximation operators are then examined. Relationships between special types of intuitionistic fuzzy relations and properties of T -intuitionistic fuzzy rough approximation operators are further explored.

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Wu, W. Z., Gu, S. M., Li, T. J., & Xu, Y. H. (2014). Intuitionistic fuzzy rough approximation operators determined by intuitionistic fuzzy triangular norms. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8818, pp. 653–662). Springer Verlag. https://doi.org/10.1007/978-3-319-11740-9_60

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