Study on the Bid Decision System of Renewable Energy for Buildings Based on FAHP and Intuitionistic Fuzzy Set TOPSIS Method

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1 Study o the Bd Decso System of Reewable Eergy for Buldgs Based o FHP ad Itutostc Fuzzy Set TOPSIS Method Yua Wu, Zhe Wag, ad Shua Geg bstract I a reewable eergy for buldgs proect, the ower eeds the dfferet cotractors to complete t. I order to esure the proect s qualty, we eed a decso framework of reewable eergy for buldgs cotractors selecto. Curretly, few research papers study cotractg problems from the owers perspectves, but from the cotractors about the reewable eergy for buldgs. Hece, Ths paper s frst to summarze the fluece factors of the reewable eergy buldg cotractors selecto from the owers perspectves, establsh the basc codtos to scree the cotractors ad select the approprate cotractors from the aspects of busess ad techology. The we use the Fuzzy HP(Fuzzy alytc Herarchy Process) to determe the relatve weghts of the evaluato crtera ad IFS-TOPSIS (the Itutostc Fuzzy Set Techque for Order Preferece by Smlarty to Ideal Soluto) to rak the alteratves. Based o the aforemetoed cotets, the decso framework of reewable eergy buldg cotractors selecto s establshed. The advatages of ths decso framework have two: frst, t ca offer the cotractors selecto drecto for the owers of reewable eergy buldg; secod, ths decso framework ca solve the formato loss problem whch wll affect the reasoablty ad accuracy of the decso result. Fally, a Cha s case study proves ths decso framework s effectve. Idex Terms Bd system, evaluato bd, reewable eergy for buldgs, tutostc fuzzy set (IFS), fuzzy aalytc herarchy process (FHP), techque for order preferece by smlarty to deal soluto (TOPSIS). I. INTRODUCTION Evaluatg bd has become the key actvty to the bd system the reewable eergy buldg proect. t preset, few lteratures study o whether to partcpate proect bddg to obta the maxmum self-terest from the cotractor's perspectve, rather tha from the ower perspectve[1]-[3]. d the fact of matter s reewable eergy buldg s bld to pursut of techology ad hgh ecoomc costs or to focus oly o the ecoomc costs of reewable eergy ad gorg techology. Therefore, the costructo ower eed urgetly to scree the approprate cotractors s ot oly ecoomcal but also reasoable to cosder the use of reewable eergy techology. Evaluatg bds of reewable eergy buldg s the Mauscrpt receved September 24, 2015; revsed November 12, The authors are wth North Cha Electrc Power Uversty, College of Ecoomc ad Maagemet, No.2, Be Nog Road, Hu Loggua Tow, Chag Pg Dstrct, Beg, Cha (e-mal: wu_yua@163.com, @qq.com, gegshua1208@163.com). mportat thg the bddg actvty. It s a mult-crtera decso makg (MCDM) problem. I practcal egeerg, lowest bd evaluato method s wdely used Cha. But Too much atteto to prce s very easy to cause the ot advaced techology, uscetfc maagemet, poor qualty ad delayed proect. I recet years, comprehesve evaluato method s ofte utlzed to make decso [1], [4]-[7]. few researches focus o the geeral proect, for stace, the fuzzy aalytc herarchy process (FHP), the fuzzy set techque for order preferece by smlarty to deal Soluto(Fuzzy TOPSIS), Gray method. But some problems defects stll exst these methods. There are some researches o gree buldg [8]-[11], but seldom research has bee foud curretly about the bd evaluato of reewable eergy buldg, h [12] reveals the potetal mpact of evrometal cost crtera o the selecto of a wg bd for a hghway recostructo proect. Ya ad La study the geeral buldg bddg from the two aspects of techology ad busess, But they does ot emphasze the basc codtos of the cotractors ad wthout takg to accout the use of reewable eergy [4], [5]. It s ecessary to establsh a practcal bd evaluato model for reewable eergy buldg. Ths paper wll study o the reewable eergy buldg bddg from the basc codto, techology ad busess. Wth result that, the hgh cost ad better reewable eergy techology wll be balaced. I the prevous evaluato methods, some qualtatve crtera dd ot cosder the persoal preferece, so the falure of bd evaluato was caused by subectve udgmet devato. The fuzzy set s used to cosder huma udgmet, but oly a sgle scale (membershp). I other words, whe peoples make a decso, there are two cases-oly yes or o. However, ths s ot the case. The fact s people have three states whe decdg thgs- yes, o ad hestato. Thus, the evaluato bd, some formato s lost. To sum up, ths study s orgazed to solve the problems that the frot volves. Secto II summarzes the prevous studes about ths topc; Secto III aalyzes the bd evaluato crtera of the reewable eergy buldg; Secto IV proposes the mplemetato bd decso framework of the reewable eergy buldg. Here, the FHP s used to determe the relatve weghts of the evaluato crtera ad the the tutostc fuzzy set techque for order preferece by smlarty to deal soluto (IFS-TOPSIS) s used to rak the alteratves. Based o the aforemetoed cotets, Secto V gves the real case to prove aforemetoed framework. do: /esd

2 II. LITERTURE REVIEW Sce 1980s, compettve bddg methods have bee troduced to the dustry to supplemet ad gradually replace the prevous assgmet system for the procuremet of costructo proects. La preseted the hstory of developmet of compettve bddg systems Cha [5].The ew method of bddg was adopted, orgatg from the extesve competto the dustral market [13]. Ray realzed cotractor falure occurs resultg emphass o cost factor aloe [14]. I geeral costructo proects, may factors affectg the bddg decso makg eed to cosdered. For the reewable eergy buldg, ts techology takes extra cosderato bddg systems. For costructo owers, the most mportat decso s to fd rght cotractor. Ths decso-makg s based o the bd evaluato crtera that are ucerta, complex ad vague. The aalytc herarchy process(hp) method help to specfy umercal weghts represetg the relatve mportace of each crtero as well as ther assocated selecto crtera wth respect to the goal [15]. Kamal ad Subh solved the problem of the proect maagemet usg HP method as a potetal decso makg method [16]. However, the tradtoal HP ca't reflect people's subectve coscousess. FHP ca smulate the subectve udgmet by the fuzzy lgustc trasformed to fuzzy umber [7], [17]-[20]. Usg fuzzy set theory, ths approach computes the weghted values of factors that sgfcatly affect the result of a proect [1]. Chag troduced a extet of the fuzzy HP [21]. Ths approach utlzes TFN to make parwse comparsos of fuzzy HP, ad s appled to determe the weghs of the bd crtera. However, bddg crtera of reewable eergy for buldgs are abset from the owers perspectves. May studes have developed models to estmate the bddg from the cotractor s pot of vew. model based o fuzzy sets theory s proposed ad t takes to cosderato both dfferet crtera, obectves ad evaluatos of umerous decso-makers [22]. rsk based fuzzy TOPSIS framework s set up to evaluate ad prortze bddg opportutes ad help cotractors to assg ther lmted resources to ear optmal selected proects [6]. structured learg model toward mproved bddg s developed for large costructo frms [3]. Ferrado tegrated HP ad NP to aalyss the publc bddg mprove of oe secto of a atoal road [23]. FHP approach s used to select the sutable brdge costructo method [24]. FHP s appled to determe the relatve weghts of the evaluato crtera ad Fuzzy TOPSIS s appled to rak the alteratves by Torf [7]. These fuzzy evaluato methods that have oly the defto of a membershp caot reflect huma s the extet of hestato. III. NLYSIS OF THE BID EVLUTION CRITERI OF THE RENEWBLE ENERGY BUILDING The am of the costructo ower s to fd a sutable cotractor the wde rage, through the process of bd decso system, the cotractor wth the hghest tegrated score wll be selected. bove all, the ower attracts bdders to partcpate the competto, by ssug teder otce, rules ad codtos for tradg. I the evaluatg bd stage, experts help the ower to search for approprate cotractors. It s the key of successful evaluato bd how to set up the evaluato crtera ad weghts. It drectly affects the qualty of the bd s result. I ths paper, the bd evaluato crtera are aalyzed maly by three aspects, amely, basc codto, busess ad techology (see Table I) Basc codto crtera are usually used as the access qualfcatos of bdders. Oly to meet the access codtos, the cotractor ca partcpate the ext step of the compettve bddg process. y oe of basc codto crtera are ot satsfed, the cotractor wll lead to be reected. mog the techology crtera, reewable eergy techcal measure ad soluto crtero s to evaluate the reasoable utlzato of reewable eergy. They are the subectve crtero accordg to the experts kowledge ad experece ad the bd experts ca exercse dscreto. So both the teders ad bdders followed ths crtero ad are easy to cotroversy. s metoed before, Cotractors must coform the basc codto crtera bddg threshold. d the block bd prce s dvded to the upper lmt value to cotrol the cost ad the lower lmt value to esure the qualty of the reewable eergy buldg. The busess crtera are desged as qualtatve, such as the teder offer s dvded to prce aalyss, the ratoalty of the sub proect prce ad the prce based o the ratoalty of the costructo orgazato desg. The scores of these crtera deped o experts preferece ad subectve udgmet. The techology crtera are performed depedet scorg accordg the experts kowledge ad experece. IV. METHODOLOGY The methodology has bee appled for evaluatg bd of the reewable eergy buldg (Fg. 1), Detals as follows.. Preparato Stage-Idetfcato of the Evaluato Crtera ad Revew of the Basc Codto I ths stage, the commttee for evaluatg bds orgazed by costructo owers or a appoted aget. Ths commttee s maly resposble for bd evaluato or selectg cotractors ad composed of costructo owers or aget ad experts o techology ad ecoomcs. Its membershp s more tha 5 persos ad should be odd umber. Experts should ot be less tha 2/3 of the total umber of members. Experts provded from the experts database of the State Coucl or provce, autoomous regos are radomly selected from the costructo ower. Experts frstly establsh the crtera ad sub-crtera of the bd evaluato for the reewable eergy. The, accordg the bd documets ad costructo owers demad, experts develop the revew stadards. ll cotractors wll be evaluated by all commttee members based o the above crtera. But the cotractor must meet the examato of basc codto crtera, oe of these s ot met, the cotractor s reected. If the bdder s less tha three, the bd s vald ad eeds to rebd. Thus, basc codto crtera are used to revew the cotractor. Whe the cotractor meets, there wll 635

3 be oly two crtera left to evaluate, amely, busess ad techology. B. Idetfcato Weghts Stage The weghts of crtera ad sub-crtera eed to be detfed ths stage. There s tme lmt for the bddg work, so the method of settg weghts s recommeded for Easy operato ad FHP s smple ad easy to operate s appled here. FHP method bases o the fuzzy cosstet relato ad fuzzy cosstet matrx of fuzzy set theory. The weghts calculato steps of FHP o the crtera of reewable eergy buldg are as follows: Step 1: Experts eed to make comparso betwee crtera ad sub-crtera. The udgmet matrx of the evaluato s costructed. B ( b ) s the fuzzy complemetary matrx, b b 1 0 b s more mpor ta t tha b b 0.5 b ad b are equally mpor ta t 1 b s more mpor ta t tha b Step 2: Ths udgmet matrx s trasformed to the fuzzy cosstet matrx, amely S bk ( 1,2,, ) (1) S k 1 S S 0.5 (2) 2m So S ( S ) s the fuzzy cosstet matrx. TBLE I: CRITERI ND SUB-CRITERI OF THE EVLUTION BID OF THE RENEWBLE ENERGY BUILDING ttrbute crtera Sub-crtera (1)Basc Codto (2)Busess (3)Techology The bdder qualfcato Teder depost The vald perod of the teder The proect maager qualfcato Tme lmt Safety producto The block bd prce (a) Reewable eergy performace (b) The scale of the eterprse (c) The facal stuato (d) The specfc mplemetato ad maagemet of reewable eergy techology (e) The teder offer (f) The geeral techcal measures ad solutos (g) The reewable eergy techcal measures ad solutos (h) Costructo orgazato pla () Safe ad cvlzed costructo (e1)prce aalyss (e2)the ratoalty of the sub proect prce (e3)the prce based o the ratoalty of (e4)the costructo orgazato desg (g1)water savg (g2)lad savg (g3)materal savg (g4)eergy savg (g5)evrometal protecto (h1)the maagemet system of reewable eergy costructo (h2)costructo schedule (h3)qualty assurace measures (h4)emergecy pla Step 3: To determe the weght value. 1 1 S Sk 1 1 ( ) / (3) k 1 α s a coeffcet. By creasg ts value, the resoluto of the scheme wll be promoted. C. Bd Evaluato ad Rakg Stage Itutostc Fuzzy Set (IFS) as the exteded cocept of fuzzy set has bee used the MCDM method. Usg IFS, stctve preferece of the experts ca be more accurately reflected. It s cocept as follows. Defto 1 [25]. Let X = x1, x2, x be a uverse of dscourse. tutostc fuzzy umber a fte set X havg the followg form: x, M ( x ), N ( x ) x X M ( x ), N ( x ) are respectvely defed as membershp 636

4 fucto ad o-membershp fucto. M ( x ), N ( x ) [0,1] ad 0 M ( x) N ( x) 1.The, the tutostc fuzzy dex s () x kow as hestacy degree whch s belog to or ot. ( x) 1 M ( x) N ( x) ad 0 ( x ) 1. bove all, the scorg stadard s gve by the bd commttee. The experts perform the score accordg to degree of the experts preferece ad o-preferece for each crtero, ad each crtero ca be expressed as a tutostc fuzzy umber by experts. Preparg stage Ifluece factor aalyss about bd evaluato The bd evaluato commttee orgazed Not approved Basc odto Qualfcato examato Out Idetfcato weghts stage Busess Weght wth FHP Techology Determe the performace scores stadards Evaluato crtera system The remag bdders are more tha 3 approved The remag bdders are less tha 3,the bddg faled ad eed to rebd Scored to the techcal crtero for bdders Scored to the buses crtero for bdders Bd evaluato stage Calculate wth IFSTOPSIS Calculate wth IFSTOPSIS Rakg for the bdders Rakg for the bdders Comprehesve rakg Select wg bdder Fg. 1. Evaluato bd decso system of reewable eergy buldg. Next mportace s to evaluate bd ad rakg by tutostc fuzzy set TOPSIS (IFS-TOPSIS). The Fuzzy TOPSIS method s wdely used mult-attrbute decso makg [26]-[31]. The decso matrx oly represets the preferece of the decso maker to accept or reect, but ot to reflect the hestacy degree of the decso makers. Ths s ot cosstet wth the subectve coscousess of dscrmato, So tutostc fuzzy sets s appled to the fuzzy TOPSIS ths paper to reflect the hestacy degree. For the fuzzy set, the sgle degree of membershp oly cotas a support M ( x) ad opposto N ( x), but the tutostc fuzzy sets(ifs) exteded fuzzy descrpto of the pheomeo, amely support M ( x), oppose N ( x) ad eutral () x.i the bd evaluato process, the subectve coscousess of experts ca be relevatly reflected. Defto 2. ad B are ay two tutostc fuzzy sets o the doma of X. λ s ay real umber ad 0.The operato relatoshp of tutostc fuzzy sets s as follows: B { x, M ( x) M ( x) M ( x) M ( x), N ( x) N ( x) x X} B B B B { x, M ( x) M ( x), N ( x ) N ( x ) N ( x ) N ( x ) x X } B B { x,1 (1 M ( x )),( N ( x )) x X } B { x,( M ( x )),1 (1 N ( x )) x X } Defto 3. Let M, N ( 1,2,, ) be a tutostc fuzzy set (IFS), the results obtaed by the IFS weghtg aggregato operator are stll tutostc fuzzy sets ad the formula of ts aggregato s as follows: 1 2, 1 1 f (,, ) 1 (1 M ), N (4) I summary, the algorthm of IFS-TOPSIS for mult-attrbute decso makg s summarzed as follows: Step 1: The performace scores of crtera are gve by the experts who are selected from experts database. Based o the scorg stadard, each expert assgs two scores betwee 0~1 to represet the preferece degree ad dssatsfacto degree of each sub-crtero ad crtera for cotractor. These two scores are added to meet betwee 0~1. Step 2: Calculatg the performace scores of alteratve. some sub-crtera are compesated ad eed to be aggregated. Such as, crtero of e s dvded to sub-crtero of e 1, e 2 ad e 3. These sub-crtero ca be compesated ad by Defto 3. F=(, v ) s defed as the performace scores m matrx of selectg cotractors. Ths decso matrx obtaed by experts scorg. the weght vector of tutostc fuzzy T 1 2 m sets s deoted as,,,,we obtaed ts value by FHP s as stated before. So the weghted performace 637

5 scores matrx s obtaed as follows. m m F m F 1 (1 ), v, ( 1,2,, m; 1,2,, ) (5) Step 3: Determg the postve ad egatve deal solutos of F., v max,m v, v m,max v T 1 1 T 1 1 ( 1,2,, m) (6) Step 4: Calculatg the Eucldea dstace of each bd documet ad the both deal soluto. Each bd documet s deoted as x ( 1,2,, ). D x v v D x v v ( 1,2,, ) mog them: m 1/ (, ) [( ) ( ) ( ) ] 2 1 m 1/ (, ) [( ) ( ) ( ) ] v ; 1 v ; 1 v. Step 5: Calculatg the relatve closeess degree of bd documets to the postve deal soluto. Relatve closeess ca be defed as (7) D2 ( x, ) D ( x, ) D ( x, ) 2 2 Step 6: ccordg the order of the relatve closeess degree, the rakg of alteratves ad the wg bdder s determed. V. CSE STUDY I ychua of gxa, a ower wated to costruct sx reewable eergy resdetal buldgs of 18 storey. The costructo area s m 2. reewable eergy resdetal buldgs used shear wall structure ad the raft foudato. Reewable eergy techologes are requred. The proect adopts ope bddg. Fve cotractors partcpate the bd for ths reewable eergy resdetal buldg. They are deoted as t1, t2, t3, t4, t5 respectvely. Fve experts are selected expert database radomly. They are composed of the commttee for evaluatg bds. Frstly, accordg to the lteratures of the bd evaluato ad experece of the experts, 9 crtera ad 15 sub-crtera are decded by the commttee of bd evaluato experts. mog them, the codto crtero (1) must be met. If 1 s ot met, the cotractor s reected. It wll be take as abadoed teder. (8) TBLE II: THE RELTIVE WEIGHTS ND THE BSOLUTE WEIGHTS OF CRITERI ND SUB-CRITERI ttrbute bsolute weght Crtera Relatve weght bsolute weght Sub-crtera Relatve weght bsolute weght a b c c c c d e e e e f g g g g g g h h h h h Bds are opeed. Evaluated ad selected uder supervso of the admstrato offce. Owg to detal error of formg the bd documets basc codto s ot met, T 4 ad T 5 are reected. Based o provsoal regulatos o the bd 638

6 evaluato commttee ad the bd evaluato method, there are three remag effectve teders ad bds cotue. Next, other cotractors wll be assessed. The Usg FHP, the weghts of other crtera ad sub-crtera are determed. The parwse comparso matrx of g s costructed-are deoted by Bg. The tutostc fuzzy cosstet matrx s obtaed by usg (1), (2), ad Defto 1 -are deoted by Sg. d the weghts of g1, g2, g3, g4, g5 are calculated by (3). S g B g (0.083, 0.083, 0.209, 0.416, 0.209)' g Smlarly, other crtera ad sub-crtera are calculated. The value calculated by (3) s relatve weght. I order to reflect the mportat degree of the whole crtera system, the absolute weghts eed to be determed Table II. The experts dvded the ratg to fve grades accordg to degree of the experts preferece for each crtero of cotractors (see Table III). ccordg to scorg stadard, Three bdders (T1, T2, T3) were scored by bd evaluato experts commttee respectvely Table IV. TBLE III: SCORING STNDRD OF THE EXPERTS FOR ECH CRITERION Degree of preferece Excellet Scorg stadard (0.9 or more,0-0.1,0-0.1) Better ( ,0-0.3,0-0.3) Good ( ,0-0.4,0-0.4,) Geeral ( ,0-0.4,0-0.4) bad (0.6 ad followg,0.4 or more,0.4or more) TBLE V: THE WEIGHTED PERFORMNCE SCORES OF THE LTERNTIVE BIDDERS T 1 T 2 T 3 (a) (0.107,0.867) (0.072,0.881) (0.133,0.831) (b) (0.095,0.831) (0.082,0.905) (0.111,0.831) (c) (0.277,0.654) (0.178,0.709) (0.264,0.665) (d) (0.270,0.637) (0.237,0.637) (0.310,0.557) (e) (0.294,0.555) (0.378,0.504) (0.275,0.599) (f) (0.394,0.435) (0.353,0.559) (0.441,0.435) (g) (0.784,0.122) (0.758,0.132) (0.805,0.132) (h) (0.766,0.110) (0.781,0.119) (0.786,0.085) () (0.320,0.543) (0.374,0.544) (0.339,0.520) By the value of Table V ad usg (6), the vector of postve ad egatve deal soluto of the weghted performace scores s as follows respectvely. mog them, crtera of c1, c2, c3 are compesable ad the relatve weghts of c1, c2, c3 has already bee calculated. Equato (4) are used to aggregate c1, c2, ad c3. From the Defto 3, the performace scores of crtera c ca be aggregated. Smlarly crtera of e, g, h also ca be aggregated. For reflectg the degree of the dfferet mportace of each crtero, Equato (5) s used ad the weghted performace score of the alteratve bdders s obtaed Table V. TBLE IV: THE PERFORMNCE SCORES OF THE LTERNTIVE BIDDERS ( 0.133, 0.831, 0.111, 0.831, 0.277, 0.654, 0.310, 0.557, 0.378, 0.504, 0.441, 0.435, 0.805, 0.122, 0.786, 0.085, 0.374, )' ( 0.072, 0.881, 0.082, 0.905, 0.198, 0.709, 0.237, 0.637, 0.275, 0.599, 0.353, 0.559, 0.758, 0.132, 0.766, 0.119, 0.320, )' T D2 ( T1, T ) T D2 ( T2, T ) (, ) T D2 T3 T 2 3 B D2 ( T1, B ) (, ) T 1 T 2 T 3 (a) (0.84,0.10) (0.70,0.13) (0.90,0.05) (b) (0.80,0.05) (0.75,0.20) (0.85,0.05) (c1) (0.85,0.06) (0.80,0.15) (0.87,0.10) (c2) (0.90,0.05) (0.70,0.10) (0.87,0.05) (c3) (0.85,0.10) (0.80,0.10) (0.84,0.10) (d) (0.80,0.10) (0.75,0.10) (0.85,0.05) (e1) (0.75,0.10) (0.85,0.05) (0.70,0.20) (e2) (0.75,0.10) (0.85,0.10) (0.75,0.05) (e3) (0.80,0.05) (0.88,0.06) (0.80,0.10) (f) (0.75,0.10) (0.70,0.20) (0.80,0.10) (g1) (0.80,0.05) (0.76,0.10) (0.86,0.10) (g2) (0.85,0.10) (0.80,0.05) (0.90,0.05) (g3) (0.80,0.10) (0.85,0.10) (0.80,0.10) (g4) (0.85,0.08) (0.80,0.10) (0.85,0.10) (g5) (0.83,0.10) (0.80,0.10) (0.87,0.10) (h1) (0.80,0.10) (0.85,0.05) (0.85,0.05) (h2) (0.85,0.05) (0.90,0.05) (0.80,0.06) (h3) (0.80,0.10) (0.75,0.15) (0.85,0.05) (h4) (0.80,0.05) (0.76,0.12) (0.83,0.10) () (0.85,0.05) (0.90,0.05) (0.87,0.04) Equato (7) s used to calculate the Eucldea dstace of T 1, T 2, T 3 ad both deal soluto of them. The Eucldea dstace of the techcal crtera ad the busess crtera are respectvely as follow: B D2 T2 B 2 2 B D2 ( T3, B ) D ( T, ) D ( T, ) D ( T, ) D ( T, ) D ( T, ) D ( T, )

7 The relatve closeess degree of the techcal dex ad the busess dex are obtaed by usg (8) respectvely T T T T1 T 2 T B B B T1 T 2 T 3 I summary, T , T , T , Comprehesve evaluato result of bdders s T3 T1 T2, The comprehesve evaluato of bdder of T3 s the hghest ad becomes the frst wg caddate. I order to facltate aalyss ad verfcato of the result of the evaluatg bd, The bd commttee of these reewable eergy buldg perform sestvty aalyss to reveal effect o rakg of the bdders by chagg the absolute weghts of crtera. Two absolute weghts of crtera are exchaged, meawhle, the left absolute weghts of crtera hold costat. The results of sestvty aalyss are Table VI. exchage T1 T 2 T 3 TBLE VI: SENSITIVITY NLYSIS rakg exchage T1 T 2 T 3 rakg (a, b) T3 T1 T2 (a, c) T3 T1 T2 (a, d) T3 T1 T2 (a,e) T3 T1 T2 (a, f) T3 T1 T2 (a, g) T3 T1 T2 (a, h) T3 T1 T2 (a, ) T3 T1 T2 (b, c) T3 T1 T2 (b, d) T3 T1 T2 (b, e) T3 T1 T2 (b, f) T3 T1 T2 (b, g) T3 T1 T2 (b, h) T3 T1 T2 (b, ) T3 T1 T2 (c, d) T3 T1 T2 (c, e) T3 T1 T2 (c, f) T3 T1 T2 (c, g) T3 T1 T2 (c, h) T3 T1 T2 (c, ) T3 T1 T2 (d, e) T3 T1 T2 (d, f) T3 T1 T2 (d, g) T3 T1 T2 (d, h) T3 T1 T2 (d, ) T3 T1 T2 (e, f) T3 T1 T2 (e, g) T3 T1 T2 (e, h) T3 T1 T2 (e, ) T3 T1 T2 (f, g) T3 T1 T2 (f, h) T3 T1 T2 (f, ) T3 T1 T2 (g, h) T3 T1 T2 (g, ) T3 T1 T2 (h, ) T3 T1 T2 Judgg from Table VI, the values of the relatve closeess degree chage. But the rakg ofthe cotractors s o chage. The T 3 s stll the best choce. Thus, the sestvty aalyss has o mpact o the evaluato result. These dcate the result of evaluato bd of the reewable eergy buldg s relable. ccordg to the prevous aalyss, T 3 s the best choce as costructo ower of the reewable eergy buldg. VI. CONCLUSION Bd evaluato play a mportat role the bd decso system. I ths study, coclusos ca be draw: Ifluece bd factors of the reewable eergy buldg are aalyzed from the owers perspectves ad ts crtera are establshed. The bggest dfferece betwee the reewable eergy buldg ad other proects s reewable eergy techology ad ablty s take to cosderato the busess crtera ad the techology crtera, the case of meetg the basc codto crtera. Based o the tutostc fuzzy set, FHP s appled to determe the weghts of crtera ad sub-crtera ad IFS-TOPSIS s appled to rak the alteratves. s metoed before, the bd decso framework s proposed. Ths framework ca assst the owers to select the desred cotractor ad also assure the reewable eergy buldg s qualty ad ecoomy. Here, applcato of the tutostc fuzzy set avods lost formato the bd. It ca reflect the degree of hestato whe the experts evaluate the bd, ad ca accord wth the subectve coscousess. REFERENCE [1] J.-S. Chou ad H. W..-D. Pham, Bddg strategy to support decso-makg by tegratg fuzzy HP ad regresso-based smulato, utomato Costructo, vol. 35, pp , [2] E. Cago ad. Perego, Mult-crtera assessmet of the probablty of wg the compettve bddg process, Iteratoal Joural of Proect Maagemet, vol.19, pp , [3] H. bdul-rahma, C. Wag, ad S. B. Malay, Structured proect learg model toward mproved compettveess bddg for large costructo frms, Joural of Cvl Egeerg ad Maagemet, vol. 18, o. 4, pp , [4] H.-Y. Ya, The costructo proect bd evaluato based o gray relatoal model, Proceda Egeerg, vol. 15, pp , [5] K. K. La, S. L. L., ad S. Y. Wag, method used for evaluatg bds the chese costructo dustry, Iteratoal Joural of Proect Maagemet, vol. 22, o. 3, pp ,

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