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Weighted average LINMAP group decision-making method based on q-rung orthopair triangular fuzzy numbers

Abstract

Considering the situation where decision values are \(q\)-rung orthopair triangular fuzzy number (\(q\)-ROTFN) and pair-wise comparisons of alternatives and evaluation matrices are given by decision-makers, a new group decision-making method is necessary to be studied for solving a group decision-making problem in the above situation. In this paper, we firstly proposed a \(q\)-rung orthopair triangular fuzzy weighted average (\(q\)-ROTFWA) operator based on the WA operator. In a second step, a linear programming technique for the multidimensional analysis of preferences (LINMAP) model based on \(q\)-ROTFN was formulated, which is used to obtain the weight of each attribute through partial preference information. A distance formula was introduced to get the ranking order of schemes and the best alternative. Finally, the weighted average LINMAP (WA-LINMAP) method was illustrated in a case study to verify its effectiveness. It is found in the experiment that the change of the \(q\) value does not affect the ranking of the schemes. The comparative analysis further confirms the effectiveness and feasibility of the proposed method.

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Acknowledgements

This work is supported in part by the National Science Foundation of China under Grant 61363075, and in part by the Department of Shenzhen Local Science and Technology Development under Grant 159, and in part by the Department of Science and Technology of Jiangxi Province of China under Grants 20161BBG7007 and KJLD13031, and in part by Department of Education of Jiangxi Province of China under Grant GJJ180270, GJJ160432. Finally, the authors are in debt to the anonymous reviewers with their constructive comments.

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Correspondence to Benting Wan or Mengjie Han.

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Wan, B., Lu, R. & Han, M. Weighted average LINMAP group decision-making method based on q-rung orthopair triangular fuzzy numbers. Granul. Comput. 7, 489–503 (2022). https://doi.org/10.1007/s41066-021-00280-4

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Keywords

  • q-Rung orthopair triangular fuzzy number
  • Group decision-making method
  • LINMAP