Multiple attribute group decision making based on generalized trapezoid fuzzy linguistic prioritized weighted average operator

In this paper, we investigate the trapezoid fuzzy linguistic multiple attribute group decision making problem with priority considerations among attributes as well as decision makers. By combining the idea of generalized mean and prioritized weighted average operator, we propose a new prioritized weighted aggregation operator called generalized trapezoid fuzzy linguistic prioritized weighted average (GTFLPWA) operator for aggregating trapezoid fuzzy linguistic information. Properties and special cases of the new aggregation operator are studied in detail. Furthermore, using GTFLPWA operator, an approach to deal with multiple attribute group decision-making problems under trapezoid fuzzy linguistic environments is developed. Finally, a practical example is illustrated to show the feasibility and superiority of the proposed approach.