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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.2017019865
pages 303-334

INTERVAL NEUTROSOPHIC MUIRHEAD MEAN OPERATORS AND THEIR APPLICATION IN MULTIPLE ATTRIBUTE GROUP DECISION-MAKING

Peide Liu
School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, China; School of Economics and Management, Civil Aviation University of China, Tianjin 300300, China
Xinli You
School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, China

ABSTRACT

In recent years, neutrosophic sets (NSs) have attracted widespread attention and have been widely applied to multiple attribute decision-making (MADM). The interval neutrosophic set (INS) is an extension of NS, in which the truth-membership, indeterminacy-membership, and falsity-membership degree are expressed by interval values. Obviously, INS can conveniently describe complex information. At the same time, the Muirhead mean (MM) can capture the interrelationships among the multi-input arguments, which is a generalization of some existing aggregation operators. In this paper, we extend MM to INS, and develop some interval neutrosophic Muirhead mean (INMM) operators, and then we prove some properties and discuss some special cases with respect to the parameter vector P. Moreover, we propose two new methods to deal with MADM problems based on the proposed operators. Finally, we verify the validity of our methods by an illustrative example, and analyze the advantages of our methods by comparing with other existing methods.