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We also explore the properties of the proposed measures and provide several comparative examples with existing measures for PFSs, illustrating their superior performance in processing fuzzy information from PFSs. Finally, we further develop a new decision-making method on top of the proposed measures and evaluate its performance in two applications.<\/jats:p>","DOI":"10.3233\/kes-230150","type":"journal-article","created":{"date-parts":[[2024,3,19]],"date-time":"2024-03-19T12:06:34Z","timestamp":1710849994000},"page":"211-229","source":"Crossref","is-referenced-by-count":14,"title":["Hellinger distance measures on Pythagorean fuzzy environment via their applications"],"prefix":"10.1177","volume":"28","author":[{"given":"Zhe","family":"Liu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"179","reference":[{"key":"10.3233\/KES-230150_ref1","doi-asserted-by":"crossref","first-page":"15495","DOI":"10.1007\/s10462-023-10533-0","article-title":"An effective conflict management method based on belief similarity measure and entropy for multi-sensor data fusion","volume":"56","author":"Liu","year":"2023","journal-title":"Artificial Intelligence Review."},{"issue":"3","key":"10.3233\/KES-230150_ref2","doi-asserted-by":"crossref","first-page":"4935","DOI":"10.3233\/JIFS-230207","article-title":"A belief logarithmic similarity measure based on Dempster-Shafer theory and its application in multi-source data fusion","volume":"45","author":"Huang","year":"2023","journal-title":"Journal of Intelligent & Fuzzy Systems."},{"issue":"2","key":"10.3233\/KES-230150_ref3","doi-asserted-by":"crossref","first-page":"85","DOI":"10.3233\/KES-170354","article-title":"Approaches to multiple attribute group decision making based on the generalized Dice similarity measures with intuitionistic fuzzy information","volume":"21","author":"Tang","year":"2017","journal-title":"International Journal of Knowledge-Based and Intelligent Engineering Systems."},{"issue":"12","key":"10.3233\/KES-230150_ref4","doi-asserted-by":"crossref","first-page":"5151","DOI":"10.1007\/s10115-023-01926-2","article-title":"Comment on \u201cNew cosine similarity and distance measures for Fermatean fuzzy sets and TOPSIS approach\u201d","volume":"65","author":"Liu","year":"2023","journal-title":"Knowledge and Information Systems."},{"key":"10.3233\/KES-230150_ref5","doi-asserted-by":"crossref","unstructured":"Lyu S, Liu Z. 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