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To date, it has not been used to aggregate linguistic Pythagorean fuzzy numbers (LPFNs). In this paper, we extend the PBM operator and partitioned geometric Bonferroni mean (PGBM) operator to the linguistic Pythagorean fuzzy sets (LPFSs) and use them to develop a novel multiattribute group decision\u2010making model under the linguistic Pythagorean fuzzy environment. We first define some novel operational laws for LPFNs, which take into consideration the interactions between the membership degree (MD) and nonmembership degree (NMD) from two different LPFNs. Based on these novel operational laws, we put forward the interaction PBM (LPFIPBM) operator, the weighted interaction PBM (LPFWIPBM) operator, the interaction PGBM (LPFIPGBM) operator, and the weighted interaction PGBM (LPFWIPGBM) operator. Then, we study some properties of these proposed operators and discuss their special cases. Based on the proposed LPFWIPBM and LPFWIPGBM operators, a novel multiattribute group decision\u2010making model is developed to process the linguistic Pythagorean fuzzy information. Finally, some illustrative examples are introduced to compare our proposed methods with the existing ones.<\/jats:p>","DOI":"10.1155\/2018\/9531064","type":"journal-article","created":{"date-parts":[[2018,11,1]],"date-time":"2018-11-01T23:56:48Z","timestamp":1541116608000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":76,"title":["Multiattribute Group Decision\u2010Making Based on Linguistic Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Aggregation Operators"],"prefix":"10.1155","volume":"2018","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2026-7178","authenticated-orcid":false,"given":"Mingwei","family":"Lin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2214-0488","authenticated-orcid":false,"given":"Jiuhan","family":"Wei","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zeshui","family":"Xu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7828-550X","authenticated-orcid":false,"given":"Riqing","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2018,11]]},"reference":[{"key":"e_1_2_11_1_2","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/2501489"},{"key":"e_1_2_11_2_2","doi-asserted-by":"publisher","DOI":"10.1057\/s41274-017-0182-y"},{"key":"e_1_2_11_3_2","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/3941847"},{"key":"e_1_2_11_4_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.21957"},{"key":"e_1_2_11_5_2","first-page":"338","article-title":"Fuzzy sets","volume":"8","author":"Zadeh L. 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