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Linguistic Neutrosophic Numbers Einstein Operator and Its Application in Decision Making

Author

Listed:
  • Changxing Fan

    (Department of Computer Science, Shaoxing University, Shaoxing 312000, China)

  • Sheng Feng

    (Department of Computer Science, Shaoxing University, Shaoxing 312000, China)

  • Keli Hu

    (Department of Computer Science, Shaoxing University, Shaoxing 312000, China)

Abstract

Linguistic neutrosophic numbers (LNNs) include single-value neutrosophic numbers and linguistic variable numbers, which have been proposed by Fang and Ye. In this paper, we define the linguistic neutrosophic number Einstein sum, linguistic neutrosophic number Einstein product, and linguistic neutrosophic number Einstein exponentiation operations based on the Einstein operation. Then, we analyze some of the relationships between these operations. For LNN aggregation problems, we put forward two kinds of LNN aggregation operators, one is the LNN Einstein weighted average operator and the other is the LNN Einstein geometry (LNNEWG) operator. Then we present a method for solving decision-making problems based on LNNEWA and LNNEWG operators in the linguistic neutrosophic environment. Finally, we apply an example to verify the feasibility of these two methods.

Suggested Citation

  • Changxing Fan & Sheng Feng & Keli Hu, 2019. "Linguistic Neutrosophic Numbers Einstein Operator and Its Application in Decision Making," Mathematics, MDPI, vol. 7(5), pages 1-12, April.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:389-:d:226757
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    References listed on IDEAS

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    1. Changxing Fan & Jun Ye, 2018. "Heronian Mean Operator of Linguistic Neutrosophic Cubic Numbers and Their Multiple Attribute Decision-Making Methods," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-13, July.
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    Cited by:

    1. Marcel-Ioan Boloș & Ioana-Alexandra Bradea & Camelia Delcea, 2019. "Neutrosophic Portfolios of Financial Assets. Minimizing the Risk of Neutrosophic Portfolios," Mathematics, MDPI, vol. 7(11), pages 1-27, November.

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