Multi-attribute decision-making based on the advanced possibility degree measure of intuitionistic fuzzy numbers

In this paper, we propose a novel multi-attribute decision-making (MADM) approach for the intuitionistic fuzzy numbers (IFNs) environment. For this, we propose the advanced possibility degree measure (APDM) to rank the intuitionistic fuzzy numbers (IFNs). We also explore the properties of the proposed APDM of IFNs. The proposed APDM of IFNs can overcome the drawbacks of the existing possibility degree measure (PDM) of IFNs. Moreover, we propose a novel multi-attribute decision-making approach based on the proposed APDM of IFNs environment. We also explore the drawbacks of the existing MADM approach in the environment of IFNs, which has the drawback that it cannot distinguish the ranking order (RO) of the alternatives in some circumstances. The proposed MADM approach can overcome the drawbacks of the existing MADM approach. The proposed MADM approach offers us a very useful way to deal with MADM problems in the context of IFNs.