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Applying rule acquisition, we formulate a new framework of knowledge reduction for interval-valued decision formal contexts and the presented framework can be applicable to any interval-valued decision formal contexts. Based on this reduction method, more compact decision rules that can imply all of those derived from the initial interval-valued decision formal contexts in the form of implication rules are obtained. Furthermore, a corresponding reduction method is developed by constructing a discernibility matrix and its associated Boolean function.<\/jats:p>","DOI":"10.3233\/ifs-151635","type":"journal-article","created":{"date-parts":[[2015,11,3]],"date-time":"2015-11-03T11:21:11Z","timestamp":1446549671000},"page":"1565-1574","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["Analysis of interval-valued decision formal contexts"],"prefix":"10.1177","volume":"29","author":[{"given":"Hong","family":"Wang","sequence":"first","affiliation":[{"name":"College of Mathematics and Computer Science, Shan\u2019xi Normal University, Linfen, Shanxi, P.R. China"}]},{"given":"Pin-Zhi","family":"Cui","sequence":"additional","affiliation":[{"name":"College of Mathematics and Computer Science, Shan\u2019xi Normal University, Linfen, Shanxi, P.R. 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