A novel SIR method for multiple attributes group decision making problem under hesitant fuzzy environment

Article type: Research Article

Authors: Ma, Zu-Jun | Zhang, Nian | Dai, Ying

Affiliations: School of Economic & Management, Southwest Jiaotong University, Chengdu, Sichuan, China

Note: [] Corresponding author. Nian Zhang, School of Economic & Management, Southwest Jiaotong University, Chengdu, Sichuan 610031, China. Tel./Fax: +86 28 87600822; E-mail: [email protected]

Abstract: In this paper, an extension of SIR method, a multiple attributes hesitant fuzzy group decision making technique, to a group decision environment is investigated, where the individual decision value and the weights of attributes and experts are provided as hesitant fuzzy information. We first introduce some concepts of hesitant fuzzy set and interval-valued hesitant fuzzy set. Then, the hesitant fuzzy superiority and inferiority ranking (HF-SIR) method and the interval-valued hesitant fuzzy superiority and inferiority ranking (IVHF-SIR) method are proposed in detail. Furthermore, the approach to MAGDM problem based on the HF-SIR and IVHF-SIR method is given under hesitant fuzzy environment. Finally, a comparative analysis is illustrated with a numerical example.

Keywords: Multiple attributes group decision making, PROMETHEE method, hesitant fuzzy set, interval-valued hesitant fuzzy set, SIR method

DOI: 10.3233/IFS-130887

Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 5, pp. 2119-2130, 2014