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Heronian mean operators of linguistic neutrosophic multisets and their multiple attribute decision-making methods

Author

Listed:
  • Changxing Fan
  • Keli Hu
  • Sheng Feng
  • Jun Ye
  • En Fan

Abstract

A valid aggregation operator can reflect the decision result more clearly and make the decision effect more correctly. In this article, a linguistic neutrosophic multiset is first proposed to handle the multiplicity information, which is an expanding of neutrosophic multiset. Two Heronian mean operators are proposed to aggregate the linguistic neutrosophic multiset, one is a linguistic neutrosophic multiplicity number generalized-weighted Heronian mean operator, the other is a linguistic neutrosophic multiplicity number improved-generalized-weighted Heronian mean operator, and then their properties are discussed. Furthermore, two decision-making methods are introduced based on linguistic neutrosophic multiplicity number generalized-weighted Heronian mean or linguistic neutrosophic multiplicity number improved-generalized-weighted Heronian mean operators under linguistic neutrosophic multiplicity number environment. Finally, an illustrative example is used to indicate the practicality and validity of these two methods.

Suggested Citation

  • Changxing Fan & Keli Hu & Sheng Feng & Jun Ye & En Fan, 2019. "Heronian mean operators of linguistic neutrosophic multisets and their multiple attribute decision-making methods," International Journal of Distributed Sensor Networks, , vol. 15(4), pages 15501477198, April.
    • Handle: RePEc:sae:intdis:v:15:y:2019:i:4:p:1550147719843059
    DOI: 10.1177/1550147719843059
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    References listed on IDEAS

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    1. Wei Zhou & Jian-min He, 2012. "Intuitionistic Fuzzy Normalized Weighted Bonferroni Mean and Its Application in Multicriteria Decision Making," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-22, September.
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