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Then, considering interactions among different criteria, we propose a fuzzy multi-criteria decision-making approach based on set pair analysis and Choquet integral under interval-valued Pythagorean fuzzy environment. Finally, a case of online learning satisfaction survey and a brief comparative analysis with other existing approaches are studied to show that the proposed method is simple,convenient and easy to implement. Comparing with previous studies, the method in this paper, from a new perspective, effectively deals with multi-criteria decision-making problems that the alternatives cannot be reasonably ranked in the decision-making process under interval-valued Pythagorean fuzzy environment.<\/jats:p>","DOI":"10.1007\/s40747-022-00778-7","type":"journal-article","created":{"date-parts":[[2022,6,17]],"date-time":"2022-06-17T09:10:41Z","timestamp":1655457041000},"page":"51-63","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":25,"title":["Interval-valued Pythagorean fuzzy multi-criteria decision-making method based on the set pair analysis theory and Choquet integral"],"prefix":"10.1007","volume":"9","author":[{"given":"Feng","family":"Li","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2329-2144","authenticated-orcid":false,"given":"Jialiang","family":"Xie","sequence":"additional","affiliation":[]},{"given":"Mingwei","family":"Lin","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,6,17]]},"reference":[{"issue":"3","key":"778_CR1","first-page":"338","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh LA (1965) Inform Control. 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