{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,2]],"date-time":"2026-02-02T11:30:52Z","timestamp":1770031852412,"version":"3.49.0"},"reference-count":45,"publisher":"SAGE Publications","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2021,8,11]]},"abstract":"<jats:p>\u00a0In present paper, we put forward four types of hesitant fuzzy \u03b2 covering rough sets (HF\u03b2CRSs) by uniting covering based rough sets (CBRSs) and hesitant fuzzy sets (HFSs). We firstly originate hesitant fuzzy \u03b2 covering of the universe, which can induce two types of neighborhood to produce four types of HF\u03b2CRSs. We then make further efforts to probe into the properties of each type of HF\u03b2CRSs. Particularly, the relationships of each type of rough approximation operators w.r.t. two different hesitant fuzzy \u03b2 coverings are groped. Moreover, the relationships between our proposed models and some other existing related models are established. Finally, we give an application model, an algorithm, and an illustrative example to elaborate the applications of HF\u03b2CRSs in multi-attribute decision making (MADM) problems. By making comparative analysis, the HF\u03b2CRSs models proposed by us are more general than the existing models of Ma and Yang and are more applicable than the existing models of Ma and Yang when handling hesitant fuzzy information.<\/jats:p>","DOI":"10.3233\/jifs-190959","type":"journal-article","created":{"date-parts":[[2021,3,19]],"date-time":"2021-03-19T13:23:42Z","timestamp":1616160222000},"page":"2387-2402","source":"Crossref","is-referenced-by-count":5,"title":["Hesitant fuzzy \u03b2 covering rough sets and applications in multi-attribute decision making"],"prefix":"10.1177","volume":"41","author":[{"given":"Jia-Jia","family":"Zhou","sequence":"first","affiliation":[{"name":"School of Mathematics and Information Science, Shaanxi Normal University, Xi\u2019an, P.R. China"},{"name":"School of Computer Science, Northwestern Polytechnical University, Xi\u2019an, P.R. 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