Abstract
The definition of interval-valued intuitionistic fuzzy (IVIF for short) rough sets is introduced and relative properties are developed. Furthermore, given different threshold values, we discuss the knowledge reduction of IVIF information systems by using the discernibility matrix based on the posit ive region of decision attributes with regard to some condition attributes set. Finally, the IVIF variable threshold concept lattice and one-sided IVIF concept lattice associated with IVIF formal contexts are given and various methods of construction of these concepts are discussed.
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