New Correlation Coefficients between Linguistic Neutrosophic Numbers and Their Group Decision Making Method

Year 2019, Issue: 28, 74 - 83, 07.05.2019

Yanfei Zhu Wenhua Cui Jun Ye

Abstract

Since linguistic neutrosophic
numbers (LNNs) are depicted independently by the truth, indeterminacy, and
falsity linguistic variables in indeterminate and inconsistent linguistic
environment, they are very fit for human thinking and expressing habits to
judgments of complex objects in real life world. Then the correlation
coefficient is a critical mathematical tool in pattern recognition and decision
making science, but the related research was rarely involved in LNN setting.
Hence, this work first proposes two new correlation coefficients of LNNs based
on the correlation and information energy of LNNs as the complement/extension
of our previous work, and then develops a multiple criteria
group decision making (MCGDM) method based on the proposed correlation coefficients
in LNN setting. Lastly,
a decision making example is provided to illustrate the applicability of the
developed method. By comparison with the MCGDM methods regarding the existing
correlation coefficients based on the maximum and minimum operations of LNNs,
the decision results indicate the effectiveness of the developed MCGDM
approach. Hence, the proposed approach provides another new way for linguistic
neutrosophic decision making problems.

Keywords

Linguistic neutrosophic number, correlation coefficient, multiple criteria group decision making

Supporting Institution

National Natural Science Foundation of China

Project Number

61703280

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