Journal
SYMMETRY-BASEL
Volume 10, Issue 2, Pages -Publisher
MDPI
DOI: 10.3390/sym10020050
Keywords
multi-attribute decision making (MADM); aggregation operator; single-valued neutrosophic hesitant fuzzy set (SVNHFS); the Choquet integral
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Funding
- National Natural Science Foundation of China [61573240, 61473239]
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This paper aims at developing new methods for multi-attribute decision making (MADM) under a single-valued neutrosophic hesitant fuzzy environment, in which each element has sets of possible values designed by truth, indeterminacy, and falsity membership hesitant functions. First, taking advantage of the Choquet integral and that it can reflect more correlations of attributes in MADM, two aggregation operators are defined based on the Choquet integral, specifically, the single-valued neutrosophic hesitant fuzzy Choquet ordered averaging (SVNHFCOA) operator and single-valued neutrosophic hesitant fuzzy Choquet ordered geometric (SVNHFCOG) operator, and their properties are also discussed in detail. Then, novel MADM approaches based on the SVNHFCOA and SVNHFCOG operators are established to process single-valued neutrosophic hesitant fuzzy information. Finally, this work provides a numerical example of investment alternatives to validate the application and effectiveness of the proposed approaches.
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