Analysis of Hamming and Hausdorff 3D distance measures for complex pythagorean fuzzy sets and their applications in pattern recognition and medical diagnosis

Abstract Similarity measures are very effective and meaningful tool used for evaluating the closeness between any two attributes which important valuable to manage awkward complex information in real-life problems. Therefore, better handing of fuzzy real life, Ullah et al. (Complex Intell Syst 6(1): 15–27, 2020) recently introduced concept Pythagorean set (CPyFS) also described dominant measures, called various types distance (DisMs) based on CPyFSs. The theory CPyFS is essential modification handle complicated Keeping advantages CPyFS, this paper, we first construct an example illustrate that a DisM proposed by does not satisfy axiomatic definition DisM. Then, combining 3D Hamming with Hausdorff distance, propose new CPyFSs, proved Moreover, similarly some DisMs intuitionistic sets, present other DisMs. Finally, apply our building material recognition problem medical diagnosis effectiveness aim compare work existing enhance worth derived measures.