Abstract: Combining q-Rung orthogonal fuzzy sets and triangular intuitionistic fuzzy numbers, the definition and algorithm of q-Rung orthogonal triangular fuzzy numbers are given. On this basis, the WSM and TOPSIS methods are extended, and a WSM-TOPSIS multi-attribute group decision-making method is proposed. Considering the weights of decision makers and attributes, this method uses WSM to gather the decision matrix proposed by the decision makers for the first time, and calculates the relative closeness of each scheme according to TOPSIS to get the ranking of the pros and cons of the scheme. Finally, the effectiveness and practicability of the method are verified by an example and comparative analysis.

Key words: q-rung orthogonal triangular fuzzy number, weighted sum method(WSM), technique for order preference by similarity to ideal solution(TOPSIS), multi-criteria decision making(MCDM), group decision-making(GDM)