Some hybrid aggregating operators in linguistic decision making with Dempster–Shafer belief structure

• We investigate the decision making problems with linguistic information.
• We have developed the belief structure generalized linguistic hybrid average (BS-GLHA) operator.
• We have applied the BS-GLHA operator to decision making problems with linguistic information.
• Finally, a numerical example is used to illustrate the applicability and effectiveness of the proposed method.

In this paper, we have studied the Dempster–Shafer theory of evidence in situations of decision making with linguistic information and we develop a new aggregation operator: belief structure generalized linguistic hybrid averaging (BS-GLHA) operator and a wide range of particular cases. we have developed the new decision making model with Dempster–Shafer belief structure that uses linguistic information in order to manage uncertain situations that cannot be managed in a probabilistic way. We have seen that all these approaches are very useful for representing the new approaches in a more complete way selecting for each situation the particular case that it is closest to our interests in the specific problem analyzed. Finally, a numerical example is used to illustrate the applicability and effectiveness of the proposed method. We have pointed out that the results and decisions are dependent on the linguistic aggregation operator used in the decision making process.