Affiliations: [a]
School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou, Gansu, P.R. China | [b]
School of Electrical Engineering, Northwest University for Nationalities, Lanzhou, Gansu, P.R. China | [c]
School of Mathematics and Computer Science, Yunnan Minzu University, Kunming, Yunnan, P.R. China
Correspondence:
[*]
Corresponding author. Haidong Zhang, School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou, Gansu 730030, P.R. China. Tel./Fax: +86 09314512202; E-mail: lingdianstar@163.com and Lianglin Xiong, School of Mathematics and Computer Science, Yunnan Minzu University, Kunming, Yunnan 650500, P.R. China. Tel./Fax: +86087165918678; E-mail: lianglin_5318@126.com.
Abstract: In this paper, a single-granulation dual hesitant fuzzy rough set model based on dual hesitant fuzzy tolerance relations is first introduced. By the combination of multi-granulation rough sets and the single-granulation dual hesitant fuzzy rough sets, we then develop a new multi-granulation rough set model, called a multi-granulation dual hesitant fuzzy rough set. In the multi-granulation framework, two types of multi-granulation dual hesitant fuzzy rough sets are proposed, which are named the optimistic multi-granulation dual hesitant fuzzy rough sets and pessimistic multi-granulation dual hesitant fuzzy rough sets. Finally, the relationships among the single-granulation dual hesitant fuzzy rough sets, optimistic multi-granulation dual hesitant fuzzy rough sets and pessimistic multi-granulation dual hesitant fuzzy rough sets are investigated.
