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1、TheExtensionoftheVagueSetandItsRoughApproximationTheoryFangdiWang西北师范大学研究生学位论文作者信息论文题目Vague集的扩展及其粗糙近似理论姓名王芳弟学号2010210786 专业名称应用数学答辩日期2013.05.24 联系电话18893729509 E_mail Wangfd_nwnu@163.com 通信地址(邮编):甘肃省西北师范大学数学与统计学院备注:888¹¹¹ÁÁÁ‡‡‡iAbstractii1111ÙÙÙXXXØØØ11.1ïÄ
2、µ†¿Â........................11.2©Ì‡SN9(.....................121112ÙÙÙýýý•••£££152.1n‰êÚn{‰ê.....................152.28.............................162.3o÷8.............................192.4Vague8............................191113ÙÙÙ222ÂÂÂVague8889
3、99ÙÙÙooo÷÷÷CCCqqq213.12ÂVague8.........................213.22ÂVagueo÷8......................233.3o÷2ÂVague8......................2951114ÙÙÙ222ÂÂÂVagueooo÷÷÷888ÚÚÚooo÷÷÷222ÂÂÂVague888úúúnnnzzz•••yyy334.12ÂVagueo÷8únz•y................334.2o÷2ÂVague8ún
4、z•y................361115ÙÙÙ222ÂÂÂVague888ooo÷÷÷ÝÝÝÝÝÝþþþ•••{{{999ŽŽŽ~~~395.12ÂVague8o÷ÝÝþ•{................395.2Ž~..............................401116ÙÙÙÌÌ̇‡‡(((ØØ؆††ÐÐÐ"""45ëëë•••©©©zzz47ôôôÖÖÖaaa¬¬¬ÆÆÆÏÏÏmmmuuuLLLØØØ©©©53———55Á‡Vague8Š•²;8í
5、2,ÏÙ•ÄäáÝ!šäáݱ9gþÝn•¡&E3?nØÚØ(½êâ&Ež•(¹Úk.´,•ÄäNƉ!
6、ÃìNݦ½ûüL§¥,Vague8L«Éûüö{¤•£!a5äσ•›.©/ÏuÜ6š€Žf,é²;Vague8¥äá݆šäá݃m'X?1U?,JÑ2ÂVague8Vg.éu2ÂVagueo÷8XÚÚo÷2ÂVague8XÚ,©O
7、^E5•{Úúnz•{?1ïÄ:3E5•{¥,©O½Â2ÂVagueo÷8Úo÷2ÂVague8¿?ا‚5Ÿ;3únz•{¥,3
8、ÏLúnzŽfуA'XÚÊÏ'XÄ:þ,³/¤½Â2ÂVagueo÷8“êÚo÷2ÂVague8“ê,‰Ñ÷vØÓúnCqŽf†ÙƒA'XÚÊÏ'Xƒmd•y.Óž,½Â¿?Ø2ÂVague8o÷ÝÝþ•{,í2Ú´Lc<óŠ.• ‰ÑŽ~.'''………ccc:o÷8;Vague8;2ÂVague8;2ÂVagueo÷8;CqŽf;o÷2ÂVague8iAbstractVaguesets,asextensionofthefuzzysets,sinceitcouldprovide
9、theinformationofthemembershipdegree,thenon-membershipdegreeandthehesitationdegree,be-comesmoreandmore
exibleandeectiveinprocessingincompleteanduncertaininformationdata.However,consideringthatvaguesets'representationisalwaysrestrictedbythepolicymakers'histo
10、ricalknowledge,perceptualjudgementandotherfactorsinthegameplaying,benetgroups'votingordecisionmakingpro-cess,weimprovetherelationshipbetweenthemembershipandthenon-membershipdegreeforthevaguesets,andde