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Information 2018, 9(1), 10; https://doi.org/10.3390/info9010010

Generalized Single-Valued Neutrosophic Hesitant Fuzzy Prioritized Aggregation Operators and Their Applications to Multiple Criteria Decision-Making

1,2,* and 1,3
1
School of Traffic and Logistics, Southwest Jiaotong University, Chengdu 610031, China
2
Tangshan Graduate School, Southwest Jiaotong University, Tangshan 063000, China
3
National Lab of Railway Transportation, Southwest Jiaotong University, Chengdu 610031, China
*
Author to whom correspondence should be addressed.
Received: 11 December 2017 / Revised: 29 December 2017 / Accepted: 2 January 2018 / Published: 5 January 2018
(This article belongs to the Special Issue Neutrosophic Information Theory and Applications)
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Abstract

Single-valued neutrosophic hesitant fuzzy set (SVNHFS) is a combination of single-valued neutrosophic set and hesitant fuzzy set, and its aggregation tools play an important role in the multiple criteria decision-making (MCDM) process. This paper investigates the MCDM problems in which the criteria under SVNHF environment are in different priority levels. First, the generalized single-valued neutrosophic hesitant fuzzy prioritized weighted average operator and generalized single-valued neutrosophic hesitant fuzzy prioritized weighted geometric operator are developed based on the prioritized average operator. Second, some desirable properties and special cases of the proposed operators are discussed in detail. Third, an approach combined with the proposed operators and the score function of single-valued neutrosophic hesitant fuzzy element is constructed to solve MCDM problems. Finally, an example of investment selection is provided to illustrate the validity and rationality of the proposed method. View Full-Text
Keywords: multiple criteria decision-making (MCDM); single-valued neutrosophic hesitant fuzzy set (SVNHFS); generalized single-valued neutrosophic hesitant fuzzy prioritized weighted average operator; generalized single-valued neutrosophic hesitant fuzzy prioritized weighted geometric operator multiple criteria decision-making (MCDM); single-valued neutrosophic hesitant fuzzy set (SVNHFS); generalized single-valued neutrosophic hesitant fuzzy prioritized weighted average operator; generalized single-valued neutrosophic hesitant fuzzy prioritized weighted geometric operator
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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Wang, R.; Li, Y. Generalized Single-Valued Neutrosophic Hesitant Fuzzy Prioritized Aggregation Operators and Their Applications to Multiple Criteria Decision-Making. Information 2018, 9, 10.

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