Multi-attribute Decision-making to Rank Urban Water Supply Schemes

Μέγεθος: px

Εμφάνιση ξεκινά από τη σελίδα:

Download "Multi-attribute Decision-making to Rank Urban Water Supply Schemes"

Κήυξ Λύκος
5 χρόνια πριν
Προβολές:

1 ( / / / / ) ( )..... TOPSIS... : Mult-attrbute Decso-makg to Rak Urba Water Supply Schemes Hojat Maabad Abbas Afshar 2 (Receved Mar. 6, 2007 Accepted Mar., 2008 ) Abstract The creasg tred (urba) water demad due to populato growth places a growg stress o avalable water resources ad calls for a effcet ad acceptable log-term maagemet of the resources. Hece, applcato of mult-attrbute decso-makg systems s essetal for evaluatg urba water supply schemes. A umber of mult-attrbute decso-makg methods have bee developed. Ths paper ams to survey the applcato of such systems to urba water supply problems ad the effects of each mult-attrbute decso-makg method selected o the fal rakg of alteratves. Three methods of Iduced Ordered Weghted Averagg (IOWA), Lear Assgmet (LA), ad TOPSIS have bee cosdered for a real urba water maagemet case study the cty of Zaheda Ira. The results revealed that the mult-attrbute decso-makg method selected had a cosderable effect o the fal rakg of a fte set of alteratves such that dfferet MADM techques yelded dfferet results for the same problem. It s, therefore, ecessary to select the. M.Sc., Hydraulc Structures, Dept. of Cvl Egeerg, Ira Uv. of Scece & Techology, hmaabad@ cvleg.ust.ac.r 2. Professor, Dept. of Cvl Egeerg, Ira Uv. of Scece ad Techology - hmaabad@ cvleg.ust.ac.r

2 method accordg to the specfc characterstcs of the problem at had, type of data avalable, ad the assessmets made. The ultmate alteratve must be, thus, selected oce evaluatos have bee made of the results obtaed from applyg dfferet decso-makg methods to the problem. Keywords: Mult Attrbute Decso Makg, Urba Water Supply, Iduced Ordered Weghted Averagg (IOWA), Lear Assgmet (LA), TOPSIS.. ELECTER.[-].[]. ELECTRE I-III TOPSIS PROMETHEE. TOPSIS. 5 Tecle 6 Netto 7 Aad Raj ad Kumar 8 Khereld ad Fahmy 9 Chuta ad Chau 0 Soghua Goal Programmg (GP) 2 Compromse Programmg (CP) 3 Multattrbute Utlty Theory 4 Aalytc Herarchy Process (AHP) 5 Lear Assgmet (LA) 6 Iduced Ordered Weghted Averagg (IOWA) -..[].. (MADM)...[] ( ). (MADM) ( : ( ( (....[] Mult Crtera Decso Makg (MDCM) 2 Mult Objectve Decso Makg (MODM) 3 Mult Attrbute Decso Makg (MADM) 4 Effcet Solutos 35

3 -- : [].[]...[] (CP) (MADM). TOPSIS (IOWA).. - (MADM) - - : MADM MADM

4 - ( ) - ).(.[ ]....[]...[] -- /. --. MCDM. [ ] F : I J I. I,J φ J I []. MCDM MCDM.[] / - : : : - - "" "" : - (a,b) - : [] --.[ ] -: 2 Wag ad Parka 3 Ordered Weghted Averagg (OWA) Herrera 37

5 A A a.. TOPSIS --. TOPSIS.[] A.. : :. :.w V = N D. W * () W. V (A ) : - :(A ) {(maxv j J),(mV j J ) =,2,...,m} = { V,V,..., V } = j j 2 a () {(mv j J),(maxV j J ) =,2,...,m} = { V,V,..., V } = j j 2 J = J = { j { j =,2,..., j BENEFIT =,2,..., j COST d = (Vj Vj ) ; =,2,... j= 2 d = (Vj Vj ) ; =,2,... j= 2 Hwag ad Yoo 0.5 } } (). : () ().[] J OWA.[ ] OWA w [ ] =, w 0, = : F w (x) = = w. b, x I () b. X OWA. w :.. :[ ] w = Q( ) Q( ), =,..., (). Q. : 0 r-a Q( r) = b-a f : f : f : r < a b r a r > b ()» ( /) (/ /) «. (/ ) OWA.[] (IOWA) OWA : IOWA w {(u,a),(u 2,a 2 ),...,(u,a )} = j (u,a ) W = (w a (u,a ) u Flev w. b j j j= T, w 2,..., w ) w j b j () j =,w j [ 0,] u - 38

6 OWA /. TOPSIS. OWA.. OWA IOWA. IOWA.. OWA.[]. - /.. :.. :[] : - d d A : : cl d = d d () d = 0 A = A cl = : d = 0 A = A A. cl = 0 cl ( A ). cl :. --. :. :. Q G (w) : : Q G. q t = j= π tj. w j () t j. π tj = 0 π tj = - : h t : max : s.t : m = t= m = m t= h t h m h t t q t = = = 0.h t t =,..., m =,..., m () Lear Compesatory Process 39

7 [] - () () AHP ELECTRE MAUT TOPSIS OWA :.[]. - :. -. () (VL,L,M,H,VH) () Provcal Water ad Sewage Compay () 2 Natoal Water ad Sewage Compay (). - ). ( ) - (

8 ( ).. MADM DM / / / / / / / / / / - / / / / / / / / / / / / / / / / / / DM 4

9 - / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / (IOWA) / / / / / / - / / / / DM (IOWA) TOPSIS Q G.... (CP).[] ( ). Excel r r j j = = j= a j a ( j ( a j a ) ). G, j=,.., G, j=,.., () j= j (). - IOWA --. IOWA IOWA... IOWA - 42

10 / / / / / / / / / / / / TOPSIS - / / / / / / / / / / / / / / / / / / / / DM (CL ) - DM p= [] (CP) - p= DM.. IOWA IOWA. IOWA.. - TOPSIS IOWA. (CP). 43

11 - - Pohekar, S. D., ad Ramachadra, M. (2004). Applcato of mult-crtera decso makg to sustaable eergy plag A revew. Reewable ad Sustaable Eergy Revews, 8, ( ).. 3- Hyde, K. M., Maer, H. R., ad Colby, C. B. (2005). A dstace-based ucertaty aalyss approach to mult-crtera decso aalyss for water resource decso makg. Joural of Evrometal Maagemet, 77, Tecle, A., Fogel, M., ad Duckste, L. (988). Multcrtero selecto of wastewater maagemet alteratves. Joural of Water Resources Plag ad Maagemet, 4, Netto, O. C., Paret, E., ad Duckste, L. (996). Multcrtero desg of log-term water supply souther Frace. Joural of Water Resources Plag ad Maagemet, 22, Aad Raj, P. A., ad Kumar, D. N. (996). Rakg of rver bas alteratves usg ELECTRE. Hydrologcal Sceces, 4, Abrshamch, A., ad Tajrsh, M. (997). Multcrtera decso makg rrgato plag. Proc., 4th It. Cof. o Cvl Egeerg, Sharf Uversty of Techology, Tehra, Ira, Khereld, K., ad Fahmy, H. (200). Mult-crtera approach for evaluatg log term water strateges. Water Iteratoal, 26, Cho, D. J., ad Park, H. (200). Aalyss of water prvatzato scearos Korea wth multcrtera decso makg techques. Joural of Water Supply Research ad Techology-AQUA, 50, Chuta, C., ad Chau, K. W. (2002). Decso adg three-perso mult-objectve coflct decso reservor flood cotrol. Europea Joural of Operatoal Research, 42, Abrshamch, A., Ebrahma, A., ad Tajrsh, M. (2005). Case study: Applcato of multcrtera decso makg to urba water supply. Joural of Water Resources Plag ad Maagemet, 3 (4), Hajkowcz, S., Youg, M., Wheeler, S., MacDoald, D., ad Youg, D. (2000). Supportg decsos: uderstadg atural resource maagemet assessmet techques, CSIRO Lad ad Water Xu, Z. (2006). Iduced ucerta lgustc OWA operators appled to group decso makg. Iformato Fuso, 7, Herrera-Vedma, E., Herrera, F., ad Chclaa, F. (2002). A cosesus model for multperso decso makg wth dfferet preferece structures. IEEE, Trasacto o Systems, Ma, ad Cyberetcs, Part A, 32(3), Larchev, O. I., Moshkovch, H. M. (995). ZAPROS-LM-a method ad system for orderg multattrbute alteratves. Europea Joural of Operatoal Research, 82, Roy, B., ad Vcke, P. (98). Multcrtera aalyss: survey ad ew drectos. Europea Joural of Operatoal Research, 8, Huag, C. L., ad Yoo, K. (98). Multple attrbute decso-makg: methods ad applcatos, Sprger, Berl. 8- Wag, Y. M. (2005). O fuzzy multattrbute decso-makg models ad methods wth complete preferece formato. Fuzzy Sets ad Systems, 5, Wag, Y. M., ad Fu, G. W. (993). A ew method of determg the weght coeffcets amog multple attrbutes. J. Tsghua Uv., 33 (6),

12 20- Wag, Y. M., ad Parka, C. (2005). A geeral multple attrbute decso-makg approach for tegratg subjectve prefereces ad objectve formato. Fuzzy Sets ad Systems, Artcle press. 2- Barro, H., ad Schmdt, P. (988). Sestvty aalyss of addtve multattrbute value models. Operatos Research, 36, Trataphyllou, E., ad Sachez, A. (997). A sestvty aalyss approach for some determstc mult-crtera decso-makg methods. Decso Sceces, 28, Rguest, J. L. (997). Lp-metrc sestvty aalyss for sgle ad multattrbute decso aalyss. Europea Joural of Operatoal Research, 98, Smolkova, R., ad Wachowak, M. P. (2002). Aggregato operators for selecto problems. Fuzzy Set ad Systems, 3, Yager, R. R. (988). O ordered weghted averagg aggregato operators mult-crtera decso makg. IEEE, Trasacto o Systems, Ma, ad Cyberetcs, 8, Yager, R. R. (993). Famles of OWA operators. Fuzzy Sets ad Systems, 59, Yager, R. R. (994). Aggregato operators ad fuzzy systems modelg. Fuzzy Sets ad Systems, 67, Yager, R. R. (996). Quatfer guded aggregato usg OWA operators. Iteratoal Joural of Itellget Systems,, Yager, R. R., ad Flev, D. P. (999). Iduced ordered weghted averagg operators. IEEE Trasactos o Systems, Ma, ad Cyberetcs- Part B 29, Hwag, C. L. ad Yoo, K. (98). Multple attrbutes decso makg methods ad applcatos, Sprger, Berl Hedelberg..( )

Σχετικά έγγραφα

!" # CD ." + % 67$ '? ( V #% I!5 I! > 3 . #B % !"#$ % &!$ '( )* !"#$ $+", -.#/0 .#..#/0!"#$ B 1G L3:1( CE CLV )#IB Z 4 Q " + -1 LTV

! # C*D . + % 67$ '*? ( V #% I!5 I! > 3 . #B % !#$ % &!$ '( )* *!#$ $+, -.#/0 .#*..#/0!#$ B 1G L3:*1( CE CLV )#IB Z 4 Q +* -1 LTV !" # '( &' $ 4 ' 6 - (! -! - ) 9//4:9 : ; 9/6/4:9 @A ; CD!"#$ &!$ '( )!"#$ $", -.#/ 9( - 67$ -#$ #8 4 #! # " " " " 9D >? @#" 6# ABC? " :;"." ( = # 9( 8B G L 7 7J/ K".#/ 8B G HID 'J # 94/D$. (" ") #$ >$"