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International Journal for Uncertainty Quantification

Impact factor: 1.000

ISSN Print: 2152-5080
ISSN Online: 2152-5099

Open Access

International Journal for Uncertainty Quantification

DOI: 10.1615/Int.J.UncertaintyQuantification.2018019996
Forthcoming Article

Hesitant linguistic intuitionistic fuzzy sets and their application in multi-criteria decision-making problems

Xiao-Kang Wang
Central South University
Hong-gang Peng
Central South University
jian-qiang wang
Central South University


This paper introduces hesitant linguistic intuitionistic fuzzy sets (HLIFSs) based on hesitant fuzzy sets (HFSs) and linguistic intuitionistic fuzzy numbers (LIFNs). HLIFSs can serve as a useful tool to depict complex and uncertain decision-making information and reflect the hesitancy of decision-makers. This paper focuses on the development of an innovative method to address multi-criteria decision-making (MCDM) problems in which the criteria are in different priority levels, and the weight information is completely unknown. Handling qualitative information requires the effective support of quantitative tools, after which the linguistic scale function (LSF) can be employed to deal with linguistic information. First, the comparison method and operations of HLIFNs are proposed. Then, two prioritized aggregation operators, including hesitant linguistic intuitionistic generalized weighted prioritized average (HLIGWPA) operator and hesitant linguistic intuitionistic generalized weighted prioritized geometric (HLIGWPG) operator are defined and are extended to a grouping prioritized situation, and then a MCDM method is developed. Finally, an illustrative example of coal mine safety evaluation is provided for demonstration; and the feasibility and validity of the proposed method are further verified by means of sensitivity analysis and comparison with other existing methods.