Multicriteria decision‐making approach based on gray linguistic weighted Bonferroni mean operator

• Published in: International transactions in operational research Vol. 25; no. 5; pp. 1635 - 1658
• Main Authors: Tian, Zhang‐Peng, Wang, Jing, Wang, Jian‐Qiang, Chen, Xiao‐Hong
• Format: Journal Article
• Language: English
• Published: Oxford Blackwell Publishing Ltd 01.09.2018
• Subjects: Bonferroni mean operator; Criteria; gray linguistic sets; Linguistics; multicriteria decision making; Multiple criteria decision making; Operations research
• ISSN: 0969-6016; 1475-3995
• DOI: 10.1111/itor.12220

The main purpose of this paper is to provide a multicriteria decision‐making (MCDM) approach that applies the gray linguistic Bonferroni mean (BM) operator to address the situations where the criterion values take the form of gray linguistic numbers (GLNs) and the criterion weights are known. First, the related operations and comparison method for GLNs are provided. Subsequently, a BM operator and weighted BM operator of GLNs are developed. Then, based on the gray linguistic weighted BM operator, an MCDM approach is proposed. Finally, an illustrative example is given and a comparison analysis is conducted between the proposed approach and other existing methods to demonstrate the effectiveness and feasibility of the developed approach.