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

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.