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Granular Computing
Published in: Granular Computing 3/2022

18-08-2021 | Original Paper

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

Authors: Benting Wan, Ruyi Lu, Mengjie Han

Published in: Granular Computing | Issue 3/2022

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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.
previous article Algebraic and Einstein weighted operators of neutrosophic enthalpy values for multi-criteria decision making in neutrosophic multi-valued set settings
next article Decision-making with q-rung orthopair fuzzy graph structures

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Metadata
Title
Weighted average LINMAP group decision-making method based on q-rung orthopair triangular fuzzy numbers
Authors
Benting Wan
Ruyi Lu
Mengjie Han
Publication date
18-08-2021
Publisher
Springer International Publishing
Published in
Granular Computing / Issue 3/2022
Print ISSN: 2364-4966
Electronic ISSN: 2364-4974
DOI
https://doi.org/10.1007/s41066-021-00280-4

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