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Intuitionistic Fuzzy Rough Sets Based on Two Intuitionistic Fuzzy Implicators
Authors:WU Wei-Zhi
Abstract:This paper presents a general framework for the study of relation-based intuitionistic fuzzy rough sets determined by two intuitionistic fuzzy implicators.By employing two intuitionistic fuzzy implicators I and J I-lower and J-upper approximations of intuitionistic fuzzy sets with respect to an intuitionistic fuzzy approximation space are first defined.Properties of(I,J)-intuitionistic fuzzy rough approximation operators are then examined.The connections between special types of intuitionistic fuzzy relations and properties of(I,J)-intuitionistic fuzzy approximation operators are also established.
Keywords:Approximation operators  Intuitionistic fuzzy logical connectives  Intuitionistic fuzzy rough sets  Intuitionistic fuzzy sets  Rough sets
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