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Some Generalized Single Valued Neutrosophic Linguistic Operators and Their Application to Multiple Attribute Group Decision Making

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  • Tan Ruipu

    (School of Economics & Management, Fuzhou University, Fuzhou350116, China)

  • Zhang Wende

    (Institute of Information Management, Fuzhou University, Fuzhou350116, China)

  • Chen Shengqun

    (College of Electronics and Information Science, Fujian Jiangxia University, Fuzhou350108, China)

Abstract

This paper proposes a group decision making method based on entropy of neutrosophic linguistic sets and generalized single valued neutrosophic linguistic operators. This method is applied to solve the multiple attribute group decision making problems under single valued neutrosophic liguistic environment, in which the attribute weights are completely unknown. First, the attribute weights are obtained by using the entropy of neutrosophic linguistic sets. Then three generalized single valued neutrosophic linguistic operators are introduced, including the generalized single valued neutrosophic linguistic weighted averaging (GSVNLWA) operator, the generalized single valued neutrosophic linguistic ordered weighted averaging (GSVNLOWA) operator and the generalized single valued neutrosophic linguistic hybrid averaging (GSVNLHA) operator, and the GSVNLWA and GSVNLHA operators are used to aggregate information. Furthermore, similarity measure based on single valued neutrosophic linguistic numbers is defined and used to sort the alternatives and obtain the best alternative. Finally, an illustrative example is given to demonstrate the feasibility and effectiveness of the developed method.

Suggested Citation

  • Tan Ruipu & Zhang Wende & Chen Shengqun, 2017. "Some Generalized Single Valued Neutrosophic Linguistic Operators and Their Application to Multiple Attribute Group Decision Making," Journal of Systems Science and Information, De Gruyter, vol. 5(2), pages 148-162, April.
    • Handle: RePEc:bpj:jossai:v:5:y:2017:i:2:p:148-162:n:4
    DOI: 10.21078/JSSI-2017-148-15
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    References listed on IDEAS

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    1. Xu, Zeshui, 2005. "Deviation measures of linguistic preference relations in group decision making," Omega, Elsevier, vol. 33(3), pages 249-254, June.
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