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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.2017020094
pages 525-572

SOME INTERVAL NEUTROSOPHIC HESITANT UNCERTAIN LINGUISTIC BONFERRONI MEAN AGGREGATION OPERATORS FOR MULTIPLE ATTRIBUTE DECISION-MAKING

Peide Liu
School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, China; School of Economics and Management, Civil Aviation University of China, Tianjin 300300, China
Fei Teng
School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, China

ABSTRACT

Interval neutrosophic hesitant uncertain linguistic set (INHULS) has the advantages of both interval neutrosophic hesitant numbers and uncertain linguistic variables. In this paper, we firstly introduce the definition, the operational laws, and the score function of INHULS. Then, we combine the interval neutrosophic hesitant uncertain linguistic set with the Bonferroni mean operator and propose some new aggregation operators, such as the interval neutrosophic hesitant uncertain linguistic Bonferroni mean (INHULBM) operator, the interval neutrosophic hesitant uncertain linguistic weighted Bonferroni mean (INHULWBM) operator, the interval neutrosophic hesitant uncertain linguistic geometric Bonferroni mean (INHULGBM) operator, and the interval neutrosophic hesitant uncertain linguistic weighted geometric Bonferroni mean (INHULWGBM) operator. At the same time, the related properties of these operators are discussed. Furthermore, we propose two multiple attribute decision-making methods based on the INHULWBM operator and the INHULWGBM operator. Finally, we give an illustrative example to demonstrate the practicality and effectiveness of the proposed methods.