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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
Forthcoming Article

Some interval-valued neutrosophic hesitant fuzzy uncertain linguistic Bonferroni mean aggregation operators and their application in multiple attribute decision making

Peide Liu
Shandong University of Finance and Economics
Fei Teng
Shandong University of Finance and Economics

ABSTRACT

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