Group decision making based on advanced intuitionistic fuzzy weighted Heronian mean aggregation operator of intuitionistic fuzzy values

In this paper, we propose the advanced intuitionistic fuzzy Heronian mean (AIFHM) aggregation operator (AO) and the advanced intuitionistic fuzzy weighted Heronian mean (AIFWHM) AO of intuitonistic fuzzy values (IFVs). The proposed AIFHM AO and the proposed AIFWHM AO of IFVs have the advantage of condidering interrelationships among aggregating inputs. We also explore some properties of the proposed AIFHM AO and the proposed AIFWHM AO of IFVs. Furthermore, based on the proposed AIFWHM AO of IFVs, we propose a new group decision making (GDM) method. We also provide some examples to illustrate that the proposed GDM method can overcome the drawbacks of the existing GDM methods. The proposed GDM method offers us a very useful approach to deal with GDM problems in intuitionistic fuzzy environments. (c) 2022 Elsevier Inc. All rights reserved.