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The Weighted Distance Measure Based Method to Neutrosophic Multiattribute Group Decision Making

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  • Chunfang Liu
  • YueSheng Luo

Abstract

Neutrosophic set (NS) is a generalization of fuzzy set (FS) that is designed for some practical situations in which each element has different truth membership function, indeterminacy membership function, and falsity membership function. In this paper, we study the multiattribute group decision making (MAGDM) problems under neutrosophic environment with the incompletely known or completely unknown attribute weight. We first define the single-valued neutrosophic ideal solution (SVNIS) and the weighted distance measure and establish the program models to derive the attribute weights. Then, we give a practical application in the framework of SVNS; the result shows that our method is reasonable and effective in dealing with decision making (DM) problems. Furthermore, we extend the method to interval-valued neutrosophic set (IVNS).

Suggested Citation

  • Chunfang Liu & YueSheng Luo, 2016. "The Weighted Distance Measure Based Method to Neutrosophic Multiattribute Group Decision Making," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-8, May.
    • Handle: RePEc:hin:jnlmpe:3145341
    DOI: 10.1155/2016/3145341
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    Cited by:

    1. Yanran Hong & Dongsheng Xu & Kaili Xiang & Han Qiao & Xiangxiang Cui & Huaxiang Xian, 2019. "Multi-Attribute Decision-Making Based on Preference Perspective with Interval Neutrosophic Sets in Venture Capital," Mathematics, MDPI, vol. 7(3), pages 1-13, March.
    2. Muhammad Riaz & Hafiz Muhammad Athar Farid & Jurgita Antucheviciene & Gülay Demir, 2023. "Efficient Decision Making for Sustainable Energy Using Single-Valued Neutrosophic Prioritized Interactive Aggregation Operators," Mathematics, MDPI, vol. 11(9), pages 1-29, May.

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