Journal
INTERNATIONAL TRANSACTIONS IN OPERATIONAL RESEARCH
Volume 25, Issue 5, Pages 1635-1658Publisher
WILEY
DOI: 10.1111/itor.12220
Keywords
multicriteria decision making; gray linguistic sets; Bonferroni mean operator
Funding
- National Natural Science Foundation of China [71271218, 71431006, 71221061]
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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.
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