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Symmetry 2018, 10(2), 50; https://doi.org/10.3390/sym10020050

Single-Valued Neutrosophic Hesitant Fuzzy Choquet Aggregation Operators for Multi-Attribute Decision Making

1
and
1,2,*
1
College of Arts and Sciences, Shanghai Maritime University, Shanghai 201306, China
2
School of Arts and Sciences, Shaanxi University of Science & Technology, Xi’an 710021, China
*
Author to whom correspondence should be addressed.
Received: 12 January 2018 / Revised: 14 February 2018 / Accepted: 15 February 2018 / Published: 22 February 2018
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Abstract

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. View Full-Text
Keywords: multi-attribute decision making (MADM); aggregation operator; single-valued neutrosophic hesitant fuzzy set (SVNHFS); the Choquet integral multi-attribute decision making (MADM); aggregation operator; single-valued neutrosophic hesitant fuzzy set (SVNHFS); the Choquet integral
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Li, X.; Zhang, X. Single-Valued Neutrosophic Hesitant Fuzzy Choquet Aggregation Operators for Multi-Attribute Decision Making. Symmetry 2018, 10, 50.

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