{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,17]],"date-time":"2025-11-17T14:19:51Z","timestamp":1763389191292,"version":"3.37.3"},"reference-count":78,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/OAPA.html"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61876201"],"award-info":[{"award-number":["61876201"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"crossref","award":["2017YFC0 804002"],"award-info":[{"award-number":["2017YFC0 804002"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61472056","61572091"],"award-info":[{"award-number":["61472056","61572091"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Chong Qing Postgraduate Scientific Research and Innovation Project","award":["CYS18244"],"award-info":[{"award-number":["CYS18244"]}]},{"name":"Talent Development Project of Guizhou Province","award":["KY(2018)No.318"],"award-info":[{"award-number":["KY(2018)No.318"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Access"],"published-print":{"date-parts":[[2019]]},"DOI":"10.1109\/access.2018.2885440","type":"journal-article","created":{"date-parts":[[2018,12,7]],"date-time":"2018-12-07T20:21:54Z","timestamp":1544214114000},"page":"383-395","source":"Crossref","is-referenced-by-count":8,"title":["The Uncertainty Analysis of Vague Sets in Rough Approximation Spaces"],"prefix":"10.1109","volume":"7","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6154-4656","authenticated-orcid":false,"given":"Qinghua","family":"Zhang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fan","family":"Zhao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jie","family":"Yang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref73","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2016.2600252"},{"key":"ref72","first-page":"1855","article-title":"Research on similarity measure between vague values (sets)","volume":"29","author":"zhang","year":"2007","journal-title":"J Electron Inf Technol"},{"key":"ref71","doi-asserted-by":"crossref","first-page":"505","DOI":"10.3233\/IFS-2012-0571","article-title":"A new method for measuring fuzziness of vague set (or intuitionistic fuzzy set)","volume":"25","author":"zhang","year":"2013","journal-title":"J Intell Fuzzy Syst"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.12.023"},{"key":"ref76","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2015.2458896"},{"key":"ref77","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2015.2450834"},{"key":"ref74","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2015.2447153"},{"key":"ref39","first-page":"28","article-title":"Thinking about logic","volume":"2","author":"read","year":"1995","journal-title":"Mathine Learning"},{"key":"ref75","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2015.2460236"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2008.08.004"},{"key":"ref78","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2017.2738155"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2012.03.009"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8640.1995.tb00029.x"},{"journal-title":"Vagueness—A Rough Set View","year":"1997","author":"pawlak","key":"ref31"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-018-3061-9"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2016.2607698"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1111\/0824-7935.00159"},{"journal-title":"Granular Computing and Decision-Making Interactive and Iterative Approaches","year":"2015","author":"pedrycz","key":"ref35"},{"key":"ref34","doi-asserted-by":"crossref","DOI":"10.1201\/b14862","author":"pedrycz","year":"2013","journal-title":"Granular Computing Analysis and Design of Intelligent Systems"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(80)90156-4"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-60837-2_18"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2018.03.026"},{"key":"ref63","first-page":"80","article-title":"Granular computing: Past, present and future","author":"yao","year":"2009","journal-title":"Proc IEEE Int Conf Granular Comput"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2015.12.002"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1007\/s41066-015-0011-0"},{"journal-title":"Entropy and Similarity Measure of Atanassov’s Intuitionistic Fuzzy Sets and Their Application to Pattern Recognition Based on Fuzzy Measures","year":"2016","author":"meng","key":"ref27"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1109\/91.493904"},{"journal-title":"Layered Learning for Concept Synthesis","year":"2004","author":"nguyen","key":"ref29"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2015.11.015"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2008.06.002"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-39205-X_2"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"ref1","first-page":"23","article-title":"Vague soft expert set and its application in decision making","volume":"11","author":"alhazaymeh","year":"2017","journal-title":"Malays J Math Sci"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.4018\/ijfsa.2012010102"},{"journal-title":"Theories of Vagueness","year":"2006","author":"keefe","key":"ref22"},{"key":"ref21","first-page":"1","article-title":"An (R, S)-norm fuzzy information measure with its applications in multiple-attribute decision-making","volume":"37","author":"joshi","year":"2017","journal-title":"Comput Appl Math"},{"key":"ref24","first-page":"1","article-title":"The entropy of vague sets based on fuzzy sets","volume":"31","author":"li","year":"2003","journal-title":"J Huazhong Univ Sci Technol"},{"key":"ref23","first-page":"1","article-title":"Fuzzy entropy of vague sets and its construction method","volume":"29","author":"li","year":"2001","journal-title":"J Huazhong Univ Sci Technol"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/11568322_26"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1080\/0308107021000013635"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-015-1954-4"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2014.2363073"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1080\/03081077908547452"},{"key":"ref58","first-page":"1464","article-title":"Three-way decisions and vague sets","volume":"37","author":"xu","year":"2016","journal-title":"J Chin Comput Syst"},{"key":"ref57","first-page":"2019","article-title":"Vague set method of multi-criteria fuzzy decision making","volume":"30","author":"xu","year":"2010","journal-title":"Systems Engineering - Theory & Practice"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2013.2249520"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-013-1077-3"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2015.10.001"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2017.2655501"},{"key":"ref52","doi-asserted-by":"crossref","first-page":"2462","DOI":"10.1109\/TCYB.2017.2740841","article-title":"Robust fuzzy adaptive tracking control for nonaffine stochastic nonlinear switching systems","volume":"48","author":"wang","year":"2018","journal-title":"IEEE Trans Cybern"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-60837-2_14"},{"key":"ref11","first-page":"105","article-title":"Some notes on the fuzzy entropy of vague set","volume":"20","author":"fan","year":"2006","journal-title":"Fuzzy Syst Math"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1007\/s13042-015-0332-y"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2011.03.005"},{"key":"ref13","first-page":"2432","article-title":"Knowledge acquisition from decision tables containing continuous-valued attributes","volume":"37","author":"feng","year":"2009","journal-title":"Acta Electronica Sinica"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/21.229476"},{"journal-title":"Vagueness A Guide","year":"2011","author":"giuseppina","key":"ref15"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/GrC.2010.120"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-43505-2_23"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2016.02.036"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2014.2334595"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-89876-4_1"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/11847465_3"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/91.842153"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(95)00154-9"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.01.015"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2009.2016553"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2015.12.022"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCB.2012.2228480"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1016\/0888-613X(93)90005-X"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1007\/11548669_4"},{"key":"ref48","article-title":"Intuitionistic fuzzy rough set-based granular structures and attribute subset selection","author":"tan","year":"0","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1002\/047134608X.W8293"},{"key":"ref42","first-page":"417","article-title":"Rough sets and vague concepts","volume":"64","author":"skowron","year":"2005","journal-title":"Fundam Inform"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-07952-2_18"},{"journal-title":"Information granules and rough-neural computing","year":"2004","author":"skowron","key":"ref44"},{"key":"ref43","doi-asserted-by":"crossref","first-page":"245","DOI":"10.3233\/FI-1996-272311","article-title":"Tolerance approximation spaces","volume":"27","author":"skowron","year":"1996","journal-title":"Fundam Inform"}],"container-title":["IEEE Access"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6287639\/8600701\/08566139.pdf?arnumber=8566139","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,26]],"date-time":"2022-01-26T01:06:12Z","timestamp":1643159172000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8566139\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019]]},"references-count":78,"URL":"https:\/\/doi.org\/10.1109\/access.2018.2885440","relation":{},"ISSN":["2169-3536"],"issn-type":[{"type":"electronic","value":"2169-3536"}],"subject":[],"published":{"date-parts":[[2019]]}}}