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

#### Yanfei Zhu [1] , Wenhua Cui [2] , Jun Ye [3]

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.

Linguistic neutrosophic number, correlation coefficient, multiple criteria group decision making
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Primary Language en Mathematics, Applied Research Article Author: Yanfei ZhuInstitution: Shaoxing People’s HospitalCountry: China Author: Wenhua CuiInstitution: Shaoxing UniversityCountry: China Author: Jun Ye (Primary Author)Institution: Shaoxing UniversityCountry: China National Natural Science Foundation of China 61703280 Publication Date : May 7, 2019
 Bibtex @research article { jnt624698, journal = {Journal of New Theory}, issn = {2149-1402}, eissn = {2149-1402}, address = {Mathematics Department, Gaziosmanpasa University 60250 Tokat-TURKEY.}, publisher = {Gaziosmanpasa University}, year = {2019}, volume = {}, pages = {74 - 83}, doi = {}, title = {New Correlation Coefficients between Linguistic Neutrosophic Numbers and Their Group Decision Making Method}, key = {cite}, author = {Zhu, Yanfei and Cui, Wenhua and Ye, Jun} } APA Zhu, Y , Cui, W , Ye, J . (2019). New Correlation Coefficients between Linguistic Neutrosophic Numbers and Their Group Decision Making Method. Journal of New Theory , (28) , 74-83 . Retrieved from https://dergipark.org.tr/en/pub/jnt/issue/45019/624698 MLA Zhu, Y , Cui, W , Ye, J . "New Correlation Coefficients between Linguistic Neutrosophic Numbers and Their Group Decision Making Method". Journal of New Theory (2019 ): 74-83 Chicago Zhu, Y , Cui, W , Ye, J . "New Correlation Coefficients between Linguistic Neutrosophic Numbers and Their Group Decision Making Method". Journal of New Theory (2019 ): 74-83 RIS TY - JOUR T1 - New Correlation Coefficients between Linguistic Neutrosophic Numbers and Their Group Decision Making Method AU - Yanfei Zhu , Wenhua Cui , Jun Ye Y1 - 2019 PY - 2019 N1 - DO - T2 - Journal of New Theory JF - Journal JO - JOR SP - 74 EP - 83 VL - IS - 28 SN - 2149-1402-2149-1402 M3 - UR - Y2 - 2019 ER - EndNote %0 Journal of New Theory New Correlation Coefficients between Linguistic Neutrosophic Numbers and Their Group Decision Making Method %A Yanfei Zhu , Wenhua Cui , Jun Ye %T New Correlation Coefficients between Linguistic Neutrosophic Numbers and Their Group Decision Making Method %D 2019 %J Journal of New Theory %P 2149-1402-2149-1402 %V %N 28 %R %U ISNAD Zhu, Yanfei , Cui, Wenhua , Ye, Jun . "New Correlation Coefficients between Linguistic Neutrosophic Numbers and Their Group Decision Making Method". Journal of New Theory / 28 (May 2019): 74-83 . AMA Zhu Y , Cui W , Ye J . New Correlation Coefficients between Linguistic Neutrosophic Numbers and Their Group Decision Making Method. JNT. 2019; (28): 74-83. Vancouver Zhu Y , Cui W , Ye J . New Correlation Coefficients between Linguistic Neutrosophic Numbers and Their Group Decision Making Method. Journal of New Theory. 2019; (28): 83-74.