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First, the shortcomings of existing operators in criterion interactive representation are analyzed, and the improved Bonferroni mean with weighted interaction and its dual operator are defined, which are used to aggregate the membership information and non-membership information under the Pythagorean fuzzy environment, respectively, and then the PFWIBM operator is constructed. Second, a generation method of interaction coefficients embedded in the PFWIBM operator is designed by combining expert knowledge and user ratings to overcome the limitations of the method of relying on subjective setting parameter values. Third, based on the proposed operator and the transformation relationship between Pythagorean fuzzy sets and linguistic ratings, an online multi-dimensional rating aggregation decision-making approach for solving product raking problems is developed. Finally, the proposed method is applied to a passenger car ranking example to show the feasibility of the method, and through some comparative analysis, the advantages of the proposed operator are clarified, and the influence of operator parameters on the decision-making results is analyzed.<\/jats:p>","DOI":"10.1007\/s44196-022-00152-y","type":"journal-article","created":{"date-parts":[[2022,11,9]],"date-time":"2022-11-09T15:02:46Z","timestamp":1668006166000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Pythagorean Fuzzy Bonferroni Mean with Weighted Interaction Operator and Its Application in Fusion of Online Multidimensional Ratings"],"prefix":"10.1007","volume":"15","author":[{"given":"Yi","family":"Yang","sequence":"first","affiliation":[]},{"given":"Feifan","family":"Yang","sequence":"additional","affiliation":[]},{"given":"Jie","family":"Chen","sequence":"additional","affiliation":[]},{"given":"Yangyan","family":"Zeng","sequence":"additional","affiliation":[]},{"given":"Limei","family":"Liu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,11,9]]},"reference":[{"key":"152_CR1","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2021.115368","volume":"183","author":"PA Alvarez","year":"2021","unstructured":"Alvarez, P.A., Ishizaka, A., Martinez, L.: Multiple-criteria decision-making sorting methods: a survey. 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