模糊數(shù)學(xué)1 集合運算.ppt

模糊數(shù)學(xué)1 集合運算.ppt

ID:55073800

大?。?.80 MB

頁數(shù):68頁

時間:2020-05-09

模糊數(shù)學(xué)1 集合運算.ppt_第1頁
模糊數(shù)學(xué)1 集合運算.ppt_第2頁
模糊數(shù)學(xué)1 集合運算.ppt_第3頁
模糊數(shù)學(xué)1 集合運算.ppt_第4頁
模糊數(shù)學(xué)1 集合運算.ppt_第5頁
資源描述:

《模糊數(shù)學(xué)1 集合運算.ppt》由會員上傳分享,免費在線閱讀,更多相關(guān)內(nèi)容在教育資源-天天文庫

1、BASICS–LectureFuzzySet&TheoryOBJECTIVES1.Todefinethebasicideas(概念)andentities(本質(zhì))infuzzysettheory(模糊集合理論)2.Tointroducetheoperationsandrelationsonfuzzysets(模糊集合)3.Tolearnhowtocomputewithfuzzysetsandnumbers(模糊集合與模糊數(shù))-arithmetic(計算),unions(并),intersections(交),complements(補(bǔ))1OUTLINE II

2、.BASICSA.Definitionsandexamples1.Sets(集合的定義)2.Fuzzynumbers(模糊數(shù)的定義)B.Operationsonfuzzysets–union(并),intersection(交),complement(補(bǔ))C.Operationsonfuzzynumbers–arithmetic,equations,functionsandtheextensionprinciple(擴(kuò)展定理)2DEFINITIONSA.Definitions1.Setsa.Classicalsets–eitheranelementbelon

3、gstothesetoritdoesnot.Forexample,forthesetofintegers,eitheranintegerisevenoritisnot(itisodd).However,eitheryouareintheUSAoryouarenot.WhataboutflyingintoUSA,whathappensasyouarecrossing?Anotherexampleisforblackandwhitephotographs,onecannotsayeitherapixeliswhiteoritisblack.However,whe

4、nyoudigitizeab/wfigure,youturnalltheb/wandgrayscalesinto256discretetones.3ClassicalsetsClassicalsetsarealsocalledcrisp(sets).(緊集)Lists:A={apples,oranges,cherries,mangoes}A={a1,a2,a3}A={2,4,6,8,…}Formulas:A={x

5、xisaneven(偶的)naturalnumber}A={x

6、x=2n,nisanaturalnumber}Membershiporcharac

7、teristicfunction(特征函數(shù)的隸屬度)4Definitions–fuzzysetsb.Fuzzysets–admitsgradation(漸變)suchasalltones(色調(diào))betweenblackandwhite(黑與白之間).Afuzzysethasagraphicaldescriptionthatexpresseshowthetransition(過渡)fromonetoanothertakesplace.Thisgraphicaldescriptioniscalledamembershipfunction(隸屬函數(shù)).5Defin

8、itions–fuzzysets(figurefromKlir&Yuan)6Definitions:FuzzySets(figurefromKlir&Yuan)7Membershipfunctions(figurefromKlir&Yuan)8Fuzzyset(figurefromEarlCox)9FuzzySet(figurefromEarlCox)10TheGeometryofFuzzySets(figurefromKlir&Yuan)11Alphalevels,core,support,normal12Definitions:RoughSetsArou

9、ghsetisbasicallyanapproximationofacrispsetAintermsoftwosubsetsofacrisppartition,X/R,definedontheuniversalsetX.Definition:Aroughset,R(A),isagivenrepresentationofaclassical(crisp)setAbytwosubsetsofX/R,andthatapproachAascloselyaspossiblefromtheinsideandoutside(respectively)andwhereand

10、arecalledtheloweranduppera

當(dāng)前文檔最多預(yù)覽五頁,下載文檔查看全文

此文檔下載收益歸作者所有

當(dāng)前文檔最多預(yù)覽五頁,下載文檔查看全文
溫馨提示:
1. 部分包含數(shù)學(xué)公式或PPT動畫的文件,查看預(yù)覽時可能會顯示錯亂或異常,文件下載后無此問題,請放心下載。
2. 本文檔由用戶上傳,版權(quán)歸屬用戶,天天文庫負(fù)責(zé)整理代發(fā)布。如果您對本文檔版權(quán)有爭議請及時聯(lián)系客服。
3. 下載前請仔細(xì)閱讀文檔內(nèi)容,確認(rèn)文檔內(nèi)容符合您的需求后進(jìn)行下載,若出現(xiàn)內(nèi)容與標(biāo)題不符可向本站投訴處理。
4. 下載文檔時可能由于網(wǎng)絡(luò)波動等原因無法下載或下載錯誤,付費完成后未能成功下載的用戶請聯(lián)系客服處理。