Attribute reductions and concept lattices in interval-valued intuitionistic fuzzy rough set theory: Construction and properties

Article type: Research Article

Authors: Xu, Fei^{a; *} | Xing, Zhi-Yong^b | Yin, Hai-Dong^a

Affiliations: [a] Department of Information and Computation Science, Northeast Agricultural University, Harbin, China | [b] Department of Applied Chemistry, Northeast Agricultural University, Harbin, China

Correspondence: [*] Corresponding author. Fei Xu, Department of Information and Computation Science, Northeast Agricultural University, 150030 Harbin, China. Tel.: +86 013936622870; E-mail: [email protected].

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 positive 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.

Keywords: Interval-valued intuitionistic fuzzy rough set, knowledge reduction, interval-valued intuitionistic fuzzy formal context, variable threshold interval-valued intuitionistic fuzzy formal concept lattice, rough set

DOI: 10.3233/IFS-151848

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 1231-1242, 2016