Distances and Similarity Measures of Q-Rung Orthopair Fuzzy Sets Based on the Hausdorff Metric with the Construction of Orthopair Fuzzy TODIM

In recent years, q-rung orthopair fuzzy sets (q-ROFSs), a novel and rigorous generalization of the set (FS) coined by Yager in 2017, have been used to manage inexplicit indefinite information daily life with high precision greater accuracy than intuitionistic (IFSs) Pythagorean (PFSs). The characterization measure similarity between q-ROFSs is important, as they applications different areas, including pattern recognition, clustering, image segmentation decision making. Therefore, this article dedicated construction based on Hausdorff metric. This very useful tool for establishing two objects. Furthermore, some axiomatic definitions distances measures are also presented. article, we first present method calculate distance We then utilize our proposed construct degree q-ROFSs. provide properties measures. offer several numerical examples related recognition linguistic variables demonstrate usefulness an algorithm TODIM (interactive multi-criteria making, Portuguese) methods. Finally, use constructed address problems settings involving making (MCDM). results show that suitable, applicable well-suited contexts queries MCDM.