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Many scholars have focused on exploring the internal mechanisms and potential solutions to conflicts. Notably, describing agents\u2019 attitudes is an effective way to construct a conflict model. However, in decision-making, agents\u2019 attitudes on issues are often vague and ambiguous. Pythagorean fuzzy set can deal with fuzzy information more accurately than intuitionistic fuzzy set. On the basis of this understanding, we investigate the conflicts from the perspective of Pythagorean fuzzy set. Firstly, we use Pythagorean fuzzy numbers to express the attitudes of agents on issues, and subsequently establish a Pythagorean fuzzy conflict information system. Secondly, we classify agents into three categories by a pair of thresholds to establish a trisected agent set model with risk preference. Thirdly, we construct a three-way conflict analysis model based on multi-granulation Pythagorean fuzzy decision-theoretic rough set and discuss both global and local conflicts by combining conflict analysis with multi-granulation decision-theoretic rough set. Finally, we discuss the relationships and properties of the proposed conflict analysis models.<\/jats:p>","DOI":"10.1007\/s44196-023-00378-4","type":"journal-article","created":{"date-parts":[[2024,1,29]],"date-time":"2024-01-29T15:02:35Z","timestamp":1706540555000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["Conflict Analysis Triggered by Three-Way Decision and Pythagorean Fuzzy Rough Set"],"prefix":"10.1007","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5000-3598","authenticated-orcid":false,"given":"Jie","family":"Zhao","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1966-0597","authenticated-orcid":false,"given":"Renxia","family":"Wan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Duoqian","family":"Miao","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2024,1,29]]},"reference":[{"issue":"4","key":"378_CR1","doi-asserted-by":"publisher","first-page":"489","DOI":"10.1016\/0305-750X(88)90199-4","volume":"16","author":"R Wade","year":"1988","unstructured":"Wade, R.: The management of irrigation systems: how to evoke trust and avoid prisoner\u2019s dilemma. 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