Multi-granulation covering rough intuitionistic fuzzy sets

Article type: Research Article

Authors: Zhan-Ao, Xue^{a; b; *} | Xiao-Meng, Si^{a; b} | Tian-Yu, Xue^{a; b} | Xian-Wei, Xin^{a; b} | Yi-lin, Yuan^{a; b}

Affiliations: [a] College of Computer and Information Engineering, Henan Normal University, Xinxiang, China | [b] Engineering Lab of Henan Province for Intelligence Business and Intsernet of Things, Xinxiang, China

Correspondence: [*] Corresponding author. Xue Zhan-Ao. E-mail: xuezhanao@163.com.

Abstract: In this paper, firstly we defined a new covering rough intuitionistic fuzzy set model in covering approximation space (U,  C). Then, the properties of lower and upper approximation operators were discussed. Secondly, we extended covering rough intuitionistic fuzzy sets in rough sets from single-granulation to multi-granulation. From the view of granularity, we proposed three models, which are based on minimal description. Some properties of these models were proved and demonstrated with examples. These models were illustrated with examples.

Keywords: Intuitionistic fuzzy sets, rough sets, intuitionistic fuzzy covering rough membership, minimal description, multi-granulation rough sets

DOI: 10.3233/JIFS-161312

Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 899-911, 2017