{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,16]],"date-time":"2025-10-16T06:29:53Z","timestamp":1760596193847},"reference-count":9,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2007,8]]},"abstract":"<jats:p> Theory of fuzzy set and theory of rough set are two useful means of describing and modeling of uncertainty in ill defined environment where precise mathematical analysis are not suitable. Classical rough set theory is based on equivalent relation. It has been indicated that it could be generated to case with a similarity relation. So far, there has been theoretical investigations on roughness measure of fuzzy set based on equivalent relation. The intention of this paper is to go further and propose a measure of roughness of a type-2 fuzzy set based on similarity relation and prove some properties of this novel measure. <\/jats:p>","DOI":"10.1142\/s0218488507004820","type":"journal-article","created":{"date-parts":[[2007,8,23]],"date-time":"2007-08-23T06:39:50Z","timestamp":1187851190000},"page":"503-517","source":"Crossref","is-referenced-by-count":5,"title":["ROUGHNESS OF TYPE-2 FUZZY SET BASED ON SIMILARITY RELATION"],"prefix":"10.1142","volume":"15","author":[{"given":"HAOYANG","family":"WU","sequence":"first","affiliation":[{"name":"State Key Laboratory of Multiphase Flow in Power Engineering, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, 710049, China"},{"name":"Kunlun Technology Industry Corporation, Hangzhou, 310012, China"}]},{"given":"YUYUAN","family":"WU","sequence":"additional","affiliation":[{"name":"Kunlun Technology Industry Corporation, Hangzhou, 310012, China"}]},{"given":"HAITAO","family":"LIU","sequence":"additional","affiliation":[{"name":"Shanghai Institute of Micro-system and Information Technology, Shanghai, 200050, China"}]},{"given":"HONGJUN","family":"ZHANG","sequence":"additional","affiliation":[{"name":"Shanghai Institute of Micro-system and Information Technology, Shanghai, 200050, China"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01001956"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1109\/91.995115"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1080\/03081079008935107"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(92)90114-J"},{"key":"rf5","first-page":"345","volume":"42","author":"Biswas R.","journal-title":"Bull. Pol. Acad. Sci. Math."},{"key":"rf6","first-page":"352","volume":"42","author":"Biswas R.","journal-title":"Bull. Pol. Acad. Sci. Math."},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(97)00414-4"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-0255(02)00379-1"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0255(96)00081-3"}],"container-title":["International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218488507004820","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T23:12:41Z","timestamp":1565133161000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488507004820"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,8]]},"references-count":9,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2007,8]]}},"alternative-id":["10.1142\/S0218488507004820"],"URL":"https:\/\/doi.org\/10.1142\/s0218488507004820","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,8]]}}}