Multiple attribute group decision-making based on the ExpTODIM method and linguistic Pythagorean operators

The linguistic Pythagorean fuzzy sets (LPFSs) are productive and advantageous when decision makers (DMs) express evaluation information in decision making problems (DMPs). Due to the variability of parameters, the Aczel–Alsina t-norm and t-conorm have great applications in DMP under fuzzy sets environment. The traditional TODIM method can consider DMs’ psychological behaviors in DMPs which is a powerful tool. So, this article proposes a new multiple attribute group decision-making (MAGDM) approach based on the novel versions of TODIM method about linguistic Pythagorean fuzzy Aczel–Alsina operators. First, we introduce the operations based on Aczel–Alsina t-norm and t-conorm about linguistic Pythagorean fuzzy numbers (LPFNs). Second, we give the linguistic Pythagorean fuzzy Aczel–Alsina weighted averaging operator and linguistic Pythagorean fuzzy Aczel–Alsina weighted geometric operator, and relevant properties of the introduced operators are listed. Then, we establish a new multiple attribute group decision-making (MAGDM) approach based on ExpTODIM in LPFSs, and the built method can solve the DMPs with weight information completely unknown or completely known, the weight information is completely unknown which can be gotten by gray correlation coefficient. Finally, we solve a DMP about green building using the established approach and compare with the methodologies in existence to illustrate the advantages of purposed approach.