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Article type: Research Article
Authors: Zhi, Yuan | Zhou, Xiangnan; * | Li, Qingguo
Affiliations: College of Mathematics and Econometrics, Hunan University, Changsha, Hunan province, P.R. China
Correspondence: [*] Corresponding author. Xiangnan Zhou, College of Mathematics and Econometrics, Hunan University, Changsha, P.R. China. E-mail: [email protected].
Abstract: In this paper, we focus on the connections between rough sets and skew lattices. On the one hand, we study the special properties of the rough sets constructed by means of the congruences induced by ideals of skew lattices which are considered as a non-commutative generalization of classic lattices; On the other hand, the properties of the generalized rough sets with respect to ideals of skew lattices are investigated.
Keywords: Skew lattices, green’s relatons, sub-skew lattices, sublattices, s-ideals, ideals, conormal bidistributive, rough approximation operators
DOI: 10.3233/JIFS-17756
Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3913-3928, 2017
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