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Symmetry 2019, 11(2), 152; https://doi.org/10.3390/sym11020152

Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Schweizer–Sklar Muirhead Mean Aggregation Operators

1
School of Information, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
2
Graduate School, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
*
Author to whom correspondence should be addressed.
Received: 3 January 2019 / Revised: 24 January 2019 / Accepted: 26 January 2019 / Published: 29 January 2019
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Abstract

Schweizer–Sklar (SS) operation can make information aggregation more flexible, and the Muirhead mean (MM) operator can take into account the correlation between inputs by a variable parameter. Because traditional MM is only available for real numbers and single-valued neutrosophic set (SVNS) can better express incomplete and uncertain information in decision systems, in this paper, we applied MM operators to single-valued neutrosophic sets (SVNSs) and presented two new MM aggregation operators with the SS operation, i.e., a single-valued neutrosophic SS Muirhead mean (SVNSSMM) operator and a weighted single-valued neutrosophic SS MM (WSVNSSMM) operator. We listed some properties of them and some particular cases about various parameter values. We also proposed the multi-criteria decision-making method based on the WSVNSSMM operator in SVNS. At last, we illustrated the feasibility of this method using a numerical example of company investment. View Full-Text
Keywords: Schweizer–Sklar operations; single-valued neutrosophic set; Muirhead mean operator; MCDM Schweizer–Sklar operations; single-valued neutrosophic set; Muirhead mean operator; MCDM
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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Zhang, H.; Wang, F.; Geng, Y. Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Schweizer–Sklar Muirhead Mean Aggregation Operators. Symmetry 2019, 11, 152.

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