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Multi-Valued Neutrosophic Number Bonferroni Mean Operators with their Applications in Multiple Attribute Group Decision Making

Author

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  • Peide Liu

    (School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, P. R. China)

  • Lili Zhang

    (School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, P. R. China)

  • Xi Liu

    (School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, P. R. China)

  • Peng Wang

    (School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, P. R. China)

Abstract

Bonferroni mean (BM) is a very useful aggregation operator, which can consider the correlations between the aggregated arguments and the multi-valued neutrosophic set can be much more convenient to denote the incomplete, indeterminate and inconsistent information, in this paper, we applied the Bonferroni mean to the multi-valued neutrosophic set, and proposed some Bonferroni mean operators of multi-valued neutrosophic numbers (MVNNs). First, we gave some operational laws and a comparison method of MVNNs, then we presented the weighted Bonferroni mean (WBM) operator and weighted geometric Bonferroni mean (WGBM) operator. Further, we proposed the multi-valued neutrosophic weighted Bonferroni mean (MVNWBM) operator and the multi-valued neutrosophic weighted geometric Bonferroni mean (MVNWGBM) operator and some properties of them are also investigated. Finally, the decision making methods are developed based on MVNWGBM operator and MVNWBM operator, and an example about investment selection is given to illustrate the applications of the developed methods and the influence of different parameter values on the decision-making results.

Suggested Citation

  • Peide Liu & Lili Zhang & Xi Liu & Peng Wang, 2016. "Multi-Valued Neutrosophic Number Bonferroni Mean Operators with their Applications in Multiple Attribute Group Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(05), pages 1181-1210, September.
    • Handle: RePEc:wsi:ijitdm:v:15:y:2016:i:05:n:s0219622016500346
    DOI: 10.1142/S0219622016500346
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    References listed on IDEAS

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    Cited by:

    1. Xiaowen Qi & Junling Zhang & Changyong Liang, 2018. "Multiple Attributes Group Decision-Making Approaches Based on Interval-Valued Dual Hesitant Fuzzy Unbalanced Linguistic Set and Their Applications," Complexity, Hindawi, vol. 2018, pages 1-22, April.
    2. Jianghong Zhu & Bin Shuai & Rui Wang & Kwai-Sang Chin, 2019. "Risk Assessment for Failure Mode and Effects Analysis Using the Bonferroni Mean and TODIM Method," Mathematics, MDPI, vol. 7(6), pages 1-17, June.
    3. Runtong Zhang & Jun Wang & Xiaomin Zhu & Meimei Xia & Ming Yu, 2017. "Some Generalized Pythagorean Fuzzy Bonferroni Mean Aggregation Operators with Their Application to Multiattribute Group Decision-Making," Complexity, Hindawi, vol. 2017, pages 1-16, August.
    4. Fei Teng & Peide Liu & Li Zhang & Juan Zhao, 2019. "Multiple Attribute Decision-Making Methods with Unbalanced Linguistic Variables Based on Maclaurin Symmetric Mean Operators," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 105-146, January.

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