Interval-valued dual hesitant fuzzy rough set over two universes and its application

Article type: Research Article

Authors: Li, Bingyang | Xiao, Jianmei | Wang, Xihuai^{; *}

Affiliations: Department of Electrical Engineering, Shanghai Maritime University, Shanghai, China

Correspondence: [*] Corresponding author. Xihuai Wang, Department of Electrical Engineering, Shanghai Maritime University, Shanghai 201306, China. Tel./Fax: +86 21 38282637; E-mail: wxh@shmtu.edu.cn.

Abstract: In many real decision-making problems, since the assessment information is usually inaccurate and incomplete, decision makers may be hard to get enough information and precisely quantify their opinions. To solve this problem, we aim to introduce interval-valued dual hesitant fuzzy rough set over two universes model. By integrating interval-valued dual hesitant fuzzy set and rough set models, this paper provides a systematic framework for the study of interval-valued dual hesitant fuzzy rough set over two universes, which can better handle imprecise and uncertain information. Firstly, in constructive approach, we define the lower and upper approximation operators under an interval-valued dual hesitant fuzzy relation, and some relevant properties are discussed. Then, we establish a general decision-making approach based on the proposed model. Finally, two practical examples are provided to elaborate the created method and illustrate its effectiveness.

Keywords: Interval-valued dual hesitant fuzzy rough set, interval-valued dual hesitant fuzzy set, dual hesitant fuzzy relation, interval-valued fuzzy rough approximation operators, rough set over two universes

DOI: 10.3233/JIFS-171626

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 3, pp. 3195-3211, 2018