{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,2]],"date-time":"2026-04-02T16:09:04Z","timestamp":1775146144003,"version":"3.50.1"},"reference-count":19,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2008,4]]},"abstract":"<jats:p> Based on the intuitionistic knowledge content nature of information gain, the concepts of combination entropy and combination granulation are introduced in rough set theory. The conditional combination entropy and the mutual information are defined and their several useful properties are derived. Furthermore, the relationship between the combination entropy and the combination granulation is established, which can be expressed as CE(R) + CG(R) = 1. All properties of the above concepts are all special instances of those of the concepts in incomplete information systems. These results have a wide variety of applications, such as measuring knowledge content, measuring the significance of an attribute, constructing decision trees and building a heuristic function in a heuristic reduct algorithm in rough set theory. <\/jats:p>","DOI":"10.1142\/s0218488508005121","type":"journal-article","created":{"date-parts":[[2008,4,8]],"date-time":"2008-04-08T10:44:18Z","timestamp":1207651458000},"page":"179-193","source":"Crossref","is-referenced-by-count":153,"title":["COMBINATION ENTROPY AND COMBINATION GRANULATION IN ROUGH SET THEORY"],"prefix":"10.1142","volume":"16","author":[{"given":"YUHUA","family":"QIAN","sequence":"first","affiliation":[{"name":"Key Laboratory of Ministry of Education for Computational Intelligence and Chinese Information Processing, School of Computer and Information Technology, Shanxi University, Taiyuan, 030006, China"}]},{"given":"JIYE","family":"LIANG","sequence":"additional","affiliation":[{"name":"Key Laboratory of Ministry of Education for Computational Intelligence and Chinese Information Processing, School of Computer and Information Technology, Shanxi University, Taiyuan, 030006, China"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-3534-4"},{"key":"rf2","first-page":"89","volume":"38","author":"Pawlak Z.","journal-title":"Communication of ACM"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/b136502"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2003.07.004"},{"key":"rf6","volume-title":"Theory and Method of Rough Sets","author":"Zhang W. 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