MAGDM Model Using an Intuitionistic Fuzzy Matrix Energy Method and Its Application in the Selection Issue of Hospital Locations

Matrix energy is a valid mathematical tool for representing collective information. However, it not used in the existing literature fuzzy sets, intuitionistic and multi-attribute group decision making (MAGDM) problems, which highlights research gaps. Motivated by both matrix gaps, this study aims to extend of an (IFM) utilize IFM method MAGDM problem, fully contains all information on attribute weights, maker values. To achieve these objectives, paper first proposes terms true false energy; then, develops model using score accuracy equations energy. Then, developed applied selection problem hospital locations Shaoxing City, China demonstrate practicality validity model. Compared with methods, reveals its superiority novelty complete expressions because methods containing set have difficulty tackling problems