Projection model for Computer Network Security Evaluation with interval-valued intuitionistic fuzzy information. Qingxiang Li
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1 Iteratoal Joural of Scece Vol No7 05 ISSN: Proecto model for Computer Network Securty Evaluato wth terval-valued tutostc fuzzy formato Qgxag L School of Software Egeerg Chogqg Uversty of rts ad Sceces Yogchua 4060 Cha qgxagl00@63com bstract Computer techology s rapd developmet chage wth each passg day powerful computer ad Itraet/Iteret worldwde popularty Iformato ad etwork s the world's curret ecoomc ad socal developmet of the tred of the developmet ad utlzato of formato resources deeply ad people from all walks of lfe formato etwork has bee evolvg rapdly; The whole socety wde applcato of formato techology the computer etwork doma wdely used pays close atteto to for people place But at the same tme etwork securty techology people's real lfe a wde rage of applcatos The am of ths paper s to vestgate the multple attrbute decso makg problems for Computer Network Securty Evaluato wth terval-valued tutostc fuzzy formato whch the formato about attrbute weghts s completely kow ad the attrbute values take the form of terval-valued tutostc fuzzy umbers proect model s proposed The based o the tradtoal proect model calculato steps for solvg terval-valued tutostc fuzzy multple attrbute decso-makg problems wth kow weght formato are gve The proect values betwee every alteratve ad postve deal soluto are calculated The the proect values are utlzed defed to determe the rakg order of all alteratves Fally a llustratve example for computer etwork securty evaluato s gve to verfy the developed approach ad to demostrate ts practcalty ad effectveess Keywords: Multple ttrbute Decso Makg; Iterval-valued Itutostc Fuzzy Numbers; Proect Method; Computer Network Securty Evaluato Itroducto The prolferato of today's etworks maly s due to the system tegrato of the felds of commucatos etwork automato ad cotrol The computer etwork has grow from a smple tme-sharg system-a umber of termals coected to a cetral computer-to a large complex evromet that provdes frastructures to may crtcal ad ecoomcally valuable compoets of ecoomes The mltary started out wth the dea of securg each dvdual computer ad later expaded the cocept to securg a etwork of computers ad devces However t s ot the oly orgazato that requres ad has mplemeted some form of etwork securty Network securty has evolved over the years ad also other departmets of govermet ad govermet etworks Computer techology s rapd developmet chage wth each passg day powerful computer ad Itraet/Iteret worldwde popularty Iformato ad etwork s the world's curret ecoomc ad socal developmet of the tred of the developmet ad utlzato of formato resources deeply ad people from all walks of lfe formato etwork has bee evolvg rapdly; The whole socety wde applcato of formato techology the computer etwork doma wdely used pays close atteto to for people place But at the same tme etwork securty techology people's real lfe a wde rage of applcatos taassov [-] troduced the cocept of tutostc fuzzy set (IFS) whch s a geeralzato of the cocept of fuzzy set [3] The tutostc fuzzy set has receved more ad more atteto sce ts appearace[-5] Gau ad Buehrer [4] troduced the cocept of vague set But Bustce ad Burllo [5] showed that vague sets are tutostc fuzzy sets Xu[6-7] developed some formato 6
2 Iteratoal Joural of Scece Vol No7 05 ISSN: aggregato operators Later taassov ad Gargov [8-9] further troduced the terval-valued tutostc fuzzy set (IVIFS) whch s a geeralzato of the IFS The fudametal characterstc of the IVIFS s that the values of ts membershp fucto ad omembershp fucto are tervals rather tha exact umbers The am of ths paper s to exted the cocept of proect model to develop a methodology for solvg MDM problems for computer etwork securty evaluato wth terval-valued tutostc fuzzy formato whch the formato about attrbute weghts s completely kow ad the attrbute values take the form of terval-valued tutostc fuzzy umbers The rest of the paper s orgazed as follows: ext secto brefly troduce some basc cocepts related to terval-valued tutostc fuzzy sets I Secto 3 we troduce the proect model for MDM problems wth terval-valued tutostc fuzzy formato I Secto 4 we llustrate our proposed algorthmc method wth a example for computer etwork securty evaluato The fal secto cocludes Prelmares I the followg we troduce some basc cocepts related to terval-valued tutostc fuzzy sets Defto Let X be a uverse of dscourse the a fuzzy set s defed as: x x xx Whch s characterzed by a membershp fucto : X 0 where x () deotes the degree of membershp of the elemet x to the set [3] taassov exteded the fuzzy set to the IFS show as follows: Defto IFS X s gve by Where : X 0 0 x x x x x x X () ad The umbers x : X 0 xx ad x wth the codto represet respectvely the membershp degree ad o- membershp degree of the elemet x to the set [] Defto 3 For each IFS X f x X (3) x x x The x s called the degree of determacy of x to [] Defto 4 Let X be a uverse of dscourse IVIFS over X [8-9]: x x x xx Where x 0 ad x x 0 sup sup For coveece let x a b x 0 Defto 5 Let a a b c d xx are terval umbers ad [ ] x c d so a b c d s a obect havg the form be a terval-valued tutostc fuzzy umber a score fucto S of a terval-valued tutostc fuzzy value ca be represeted as follows [0-]: a c b d Sa Sa (5) a a b c d be a terval-valued tutostc fuzzy umber a accuracy Defto 6 Let fucto H of a terval-valued tutostc fuzzy value ca be represeted as follows [0-]: (4) 6
3 Iteratoal Joural of Scece Vol No7 05 ISSN: H a a b c d 0 H a (6) To evaluate the degree of accuracy of the terval-valued tutostc fuzzy value a a b c d where The larger the value of the more the degree of accuracy H a 0 of the terval-valued tutostc fuzzy value a 63 H a 3 Proect Model for MDM wth terval-valued Itutostc Fuzzy Iformato Let attrbutes where m 0 be a dscrete set of alteratves ad G G G G s the weghtg vector of the attrbute Suppose that tutostc fuzzy decso matrx where satsfes the attrbute alteratve c d 0 R r a b c d a b m G gve by the decso maker does t satsfy the attrbute b d m G m be the set of G s the terval-valued dcates the degree that the alteratve c d gve by the decso maker dcates the degree that the a b 0 I the followg we apply proect model to MDM wth terval-valued tutostc fuzzy formato Step Determe the postve deal ad egatve deal soluto based o tutostc fuzzy umbers wth a r b c d a b c d a b c d where a b c d max a max b m c m d Step Calculate the proect values of each alteratve from PIS usg the followg equato Pr m wh a b c d h a b c d wh a b c d (7) Step 3 Rak all the alteratves Pr m mportat alteratve Step 4 Ed 4 Numercal example m If ay alteratve has the hghest Pr (5) ad select the best oe(s) accordace value the t s the most The rapd developmet of computer techology make the developmet of modem socety ca ot do wthout formato etwork Because of the computer etwork trasmsso of formato volved face scece educato mltary ad other felds cludg the huge ecoomc or the terests of the state so ot all the partes from the etwork attack the etwork attack form also s may ad vared such as vrus fecto steal data formato mapulato delete add etc Ths artcle from the etwork formato securty etwork securty vulerablty of the ma techcal commo etwork attack methods ad coutermeasures etwork securty costructo aalyses the curret etwork formato securty ad the ma problem of commo etwork attack from the
4 Iteratoal Joural of Scece Vol No7 05 ISSN: techcal level s proposed the hope that through the etwork securty costructo gradually elmate the etwork formato safety hdde trouble Ths secto presets a umercal example to evaluate the computer etwork securty wth ucerta lgustc formato to llustrate the method proposed ths paper There are fve possble computer etwork systems for four attrbutes The four attrbutes clude the tactcs techology ad ecoomy logstcs G G G 345 ad strategy G respectvely The fve possble computer etwork systems are to be evaluated by usg the terval-valued tutostc fuzzy formato by the decso maker uder the above four attrbutes as lsted the followg matrx R d the weghtg vector of G G G3 ad G4 s as follows: w The we utlze the approach developed to get the most desrable computer etwork systems Step Determe the postve deal ad egatve deal soluto r Step Calculate the proect values of every computer etwork system ad TLPIS Pr Α 0975 Pr Α Pr Α Α Α Α 3 Pr Α 0345 Pr Α Α Α 5 Step 3 ccordg to the proect values of every alteratve ad TLPIS the rakg order of the fve alteratves s: ad thus the most desrable computer etwork system s G 5 Cocluso I order to effectvely use formato resources formato sharg ad formato to adapt to the requremets of rapd expaso the establshmet of teral computer etworks ad based o computer etwork maagemet system s etered to the etwork ecoomy era s also the basc codto of the establshmet of a moder maagemet system techology base but lke uauthorzed access llegal operato formato leak ad servces such as refuse to ssue of etwork securty drectly affect the computer etwork system of the ormal applcato therefore etwork securty desg become etwork desg s very mportat part I ths paper we have vestgated the problem of multple attrbute decso-makg wth completely kow formato o attrbute weghts to whch the attrbute values are gve terms of terval-valued tutostc fuzzy umbers a proect model s proposed The based o the tradtoal cocept of proect model calculato steps for solvg terval-valued tutostc fuzzy multple attrbute decso-makg problems wth kow weght formato are gve Fally a llustratve example for computer etwork securty evaluato s gve I the future we shall cotue workg the 64
5 Iteratoal Joural of Scece Vol No7 05 ISSN: applcato of the terval-valued tutostc fuzzy multple attrbute decso-makg to other domas ckowledgemets The work was supported by the Humates ad Socal Sceces Foudato of Mstry of Educato of the People s Republc of Cha (No 4XJCZH00) the Natural Scece Foudato Proect of Yogchua CSTC of the People s Republc of Cha (No YCSTC 04NC800) ad the Foudato Proect of Chogqg Uversty of rts ad Sceces (No40337) Refereces [] K taassov Itutostc fuzzy sets Fuzzy Sets ad Systems Vol 0 pp [] K taassov More o tutostc fuzzy sets Fuzzy Sets ad Systems Vol 33 pp [3] L Zadeh Fuzzy sets Iformato ad Cotrol Vol 8 pp [4] W L Gau ad D J Buehrer Vague sets IEEE Trasactos o Systems Ma ad Cyberetcs Vol 3 No pp [5] H Buste ad P Burllo Vague sets are tutostc fuzzy sets Fuzzy Sets ad Systems Vol 79 pp [6] Z S Xu ad R R Yager Some geometrc aggregato operators based o tutostc fuzzy sets Iteratoal Joural of Geeral System 35 (006) [7] Z S Xu Itutostc fuzzy aggregato operators IEEE Trasatos o Fuzzy Systems 5(6) (007) [8] taassov K Operators over terval-valued tutostc fuzzy sets Fuzzy Sets ad Systems 64 () (994) [9] K taassov ad G Gargov Iterval-valued tutostc fuzzy sets Fuzzy Sets ad Systems 3 (989) [0] ZS Xu Methods for aggregatg terval-valued tutostc fuzzy formato ad ther applcato to decso makg Cotrol ad Decso () (007) 5-9 [] ZS Xu J Che overvew of dstace ad smlarty measures of tutostc fuzzy sets Iteratoal Joural of Ucertaty Fuzzess ad kowledge-based Systems 6(4) (008) [] G W We Maxmzg devato method for multple attrbute decso makg tutostc fuzzy settg Kowledge-based Systems Vol No 8 pp [3] G W We Some geometrc aggregato fuctos ad ther applcato to dyamc multple attrbute decso makg tutostc fuzzy settg Iteratoal Joural of Ucertaty Fuzzess ad Kowledge-Based Systems 7() (009) [4]G W We Iduced tutostc fuzzy ordered weghted averagg operator ad ts applcato to multple attrbute group decso makg Lecture Notes rtfcal Itellgece 5009(008)4-3 [5] P Grzegorzewsk Dstaces betwee tutostc fuzzy sets ad/or terval-valued fuzzy sets based o the Hausdorff metrc Fuzzy Sets ad Systems 48 (004) [6] H Mtchell correlato coeffcet for tutostc fuzzy sets Iteratoal Joural of Itellget Systems 9 (004) [7] Z Pe ad L Zheg ovel approach to mult-attrbute decso makg based o tutostc fuzzy sets Expert Systems wth pplcatos 39 (0) [8] K taassov More o tutostc fuzzy sets Fuzzy Sets ad Systems 33 (989) [9] E Szmdt ad J Kacprzyk Dstaces betwee tutostc fuzzy sets Fuzzy Sets ad Systems 4 (000) [0] F Chclaa F Herrera ad E Herrera-Vedma Itegratg multplcatve preferece relatos a multpurpose decso-makg model based o fuzzy preferece relatos Fuzzy Sets ad Systems (00)
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