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Some linguistic neutrosophic Hamy mean operators and their application to multi-attribute group decision making

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  • Peide Liu
  • Xinli You

Abstract

Linguistic neutrosophic numbers (LNNs) can easily describe the incomplete and indeterminate information by the truth, indeterminacy, and falsity linguistic variables (LVs), and the Hamy mean (HM) operator is a good tool to deal with multiple attribute group decision making (MAGDM) problems because it can capture the interrelationship among the multi-input arguments. Motivated by these ideas, we develop linguistic neutrosophic HM (LNHM) operator and weighted linguistic neutrosophic HM (WLNHM) operator. Some desirable properties and special cases of two operators are discussed in detail. Furthermore, considering the situation in which the decision makers (DMs) can’t give the suitable weight of each attribute directly from various reasons, we propose the concept of entropy for linguistic neutrosophic set (LNS) to obtain the attribute weight vector objectively, and then the method for MAGDM problems with LNNs is proposed, and some examples are used to illustrate the effectiveness and superiority of the proposed method by comparing with the existing methods.

Suggested Citation

  • Peide Liu & Xinli You, 2018. "Some linguistic neutrosophic Hamy mean operators and their application to multi-attribute group decision making," PLOS ONE, Public Library of Science, vol. 13(3), pages 1-26, March.
    • Handle: RePEc:plo:pone00:0193027
    DOI: 10.1371/journal.pone.0193027
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    References listed on IDEAS

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    1. Chu, Yu-Ming & Xia, Wei-Feng & Zhang, Xiao-Hui, 2012. "The Schur concavity, Schur multiplicative and harmonic convexities of the second dual form of the Hamy symmetric function with applications," Journal of Multivariate Analysis, Elsevier, vol. 105(1), pages 412-421.
    2. Peide Liu & Peng Wang, 2017. "Some Improved Linguistic Intuitionistic Fuzzy Aggregation Operators and Their Applications to Multiple-Attribute Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(03), pages 817-850, May.
    3. Nicky J. Welton & Howard H. Z. Thom, 2015. "Value of Information," Medical Decision Making, , vol. 35(5), pages 564-566, July.
    4. Zeshui Xu, 2006. "A Note on Linguistic Hybrid Arithmetic Averaging Operator in Multiple Attribute Group Decision Making with Linguistic Information," Group Decision and Negotiation, Springer, vol. 15(6), pages 593-604, November.
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    Cited by:

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    2. Gia Sirbiladze, 2021. "Associated Probabilities in Interactive MADM under Discrimination q-Rung Picture Linguistic Environment," Mathematics, MDPI, vol. 9(18), pages 1-36, September.
    3. Weizhang Liang & Guoyan Zhao & Suizhi Luo, 2018. "Linguistic neutrosophic Hamacher aggregation operators and the application in evaluating land reclamation schemes for mines," PLOS ONE, Public Library of Science, vol. 13(11), pages 1-29, November.
    4. Jiahuan He & Xindi Wang & Runtong Zhang & Li Li, 2019. "Some q -Rung Picture Fuzzy Dombi Hamy Mean Operators with Their Application to Project Assessment," Mathematics, MDPI, vol. 7(5), pages 1-28, May.
    5. Yang, Zaoli & Ahmad, Salman & Bernardi, Andrea & Shang, Wen-long & Xuan, Jin & Xu, Bing, 2023. "Evaluating alternative low carbon fuel technologies using a stakeholder participation-based q-rung orthopair linguistic multi-criteria framework," Applied Energy, Elsevier, vol. 332(C).
    6. Željko Stević & Dragan Pamučar & Marko Subotić & Jurgita Antuchevičiene & Edmundas Kazimieras Zavadskas, 2018. "The Location Selection for Roundabout Construction Using Rough BWM-Rough WASPAS Approach Based on a New Rough Hamy Aggregator," Sustainability, MDPI, vol. 10(8), pages 1-27, August.

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