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In this study, a novel similarity measure is presented by the combination of the information carried by hesitancy degree and the endpoint distance of membership and nonmembership, respectively. Moreover, a numerical example is used to verify the reasonable of the proposed similarity measure. After that, the similarity measure is applied to construct the IF decision-theoretic rough set (IF-DTRS) model and multigranulation IF decision-theoretic rough set (MG-IF-DTRS) model. Some properties of IF-DTRS and MG-IF-DTRS are also investigated. Thirdly, based on granular significance, a novel approach of optimal granulation selection is formulated. Finally, a heuristic algorithm is designed and the effectiveness of this algorithm is demonstrated by an illustrative example.<\/jats:p>","DOI":"10.3233\/jifs-181193","type":"journal-article","created":{"date-parts":[[2019,3,26]],"date-time":"2019-03-26T17:47:04Z","timestamp":1553622424000},"page":"2495-2509","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":7,"title":["Optimal granulation selection for similarity measure-based multigranulation intuitionistic fuzzy decision-theoretic rough sets"],"prefix":"10.1177","volume":"36","author":[{"given":"Meishe","family":"Liang","sequence":"first","affiliation":[{"name":"Hebei Normal University","place":["P.R. China"]},{"name":"Department of Academic Research","place":["P.R. China"]},{"name":"Shijiazhuang University of Applied Technology","place":["P.R. 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