模糊幂线性空间.pdf

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1、©aÒ:—?:UDC:?Ò:ÆØ©˜‚5˜mHž•“6¶:’ö°£Ǥàó’ŒÆžÆ?O:a¬Æ‰!;’¶¡:A^êÆØ©Jžm:2011c11Ø©‰Fžm:2011c12Æǃü:àó’ŒÆ‰F”¬ÌR:µ<:2011c12DissertationSubmittedtoHebeiUniversityofTechnologyforTheMasterDegreeofScienceinAppliedMathematicsFUZZYPOWERLINEARSPACEbyGuoRuiyiSupervisor:Prof.MiHonghaiDec2011àó’ŒÆa¬ÆØ©˜

2、‚5˜mÁ‡‘XêÆuÐ,‡¦ˆ«êÆ(؇dØ••Ù˜8þJ,,…„‡¦•˜8þJ,.$ŽJ,Œ±ˆ«‡(,X˜+!˜+!˜‚!˜‚!˜‚5˜m,¿ƒA˜XkdŠ¤J.©ÄgJÑg,˜‚5˜mÚ˜‚5˜mVg,¿ïĦ‚Ä5ŸÚ(.'…i:˜,g,˜‚5˜m,˜‚5˜m,‘ê,Ä,f˜m,Ó,Ói˜‚5˜mFUZZYPOWERLINEARSPACEABSTRACTWiththedevelopmentoffuzzysettheory,allkindsofthestructureareupgradednotonlyfromtheirun

3、iversestotheirpowersetsbutalsofromtheiruniversestotheirfuzzypowersets.Theimprovementofoperationcangetallkindsofsuperstructure.Forexample,powergroup,fuzzypowergroup,powerring,fuzzypowerring,powerlinearspaceandsoon,andaseriesofvaluableresultsisgiven.Theconceptofnaturalfuzzypowerlinearspaceandfuzzypow

4、erlinearspacewasputforwardfortherstinthispaper,andthecharactersandstructureofnaturalfuzzypowerlinearspaceandfuzzypowerlinearspacearediscussed.KEYWORDS:fuzzypower,naturalfuzzypowerlinearspace,fuzzypowerlinearspace,dimensions,radix,linearsubspace,homomorphism,isomorphismiiàó’ŒÆa¬ÆØ©8¹¥©Á‡..........

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