GIS . ( NSGA-II (GA NSGA-II) GIS

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1 Vol9, No 3, Autumn 07 Iranan Remote Sensng & * 3 /6/5 /5/ 35 9 * Emal zdarvar@gmalcom

2 Datta and Deb, Deb et al, Herzng, 008 Datta et al, Deb and Sundar, 006 Vllalta-Calderon and Pérez- Stewart et al, 00 Alegr a, Brassouls, Krnk, El-Sadek, Antonell et al, 07 Du Frature, 00 Cao et al, vrtual water trade John Anthony Allan 3 geographc nformaton system Hoekstra et al, 006 6

3 AHP analytc herarchy process genetc algorthm 3 non sortng genetc algorthm 7

4 Deb et al, 005 Yeh and Ln, Sheta and Turabeh, 006 MCDM Eldrandaly, Das et al, 00 Coello et al, 007 Svanandam and 39 Deepa, 007 mult-objectve optmzaton mult crtera decson makng 8

5 --- P P P Coello et al, j > j j < < 3 Deb et al 9

6 M n L Coello and Romero, 003 L Horn et al, L L L3 L L5 Ln AHP f f f f3 Pareto-optmal set Pareto-optmal front surface 0

7 AHP 3 =, j 3 f f f f3 n AHP =, j 0/5 5 = = AHP VWC[c] = CWU Tp VWC NETWAT vrtual water consumpton crop water use CWU

8 5, j 6, j n n, j j AHP 7, j 7 = /5 0/50 0/75 0 0/50 -

9 3 0/00 0/007 0/003 0/ / / 0/5 0/ /00 0/007 0/003 0/

10 / 0 / 0 63 / / 0 / /6 0 / /8 9 / / 3 8 5/7 / / / / 59 /6 / 6 3 5/7 0 / / 5 0/98 0 / / /

11 / / / / /6 0/ 6 0/ 6 0/ 6 0 / 6 6 7/80 3/ 33 0/ 65 3/ 33 9 / / 3 8 6/ 3/ 7 58/ 73 3/ 7 / / / / 59 /6 / 6 / 6 / 6 / /5 67/ 95 3/ 67 67/ 95 0 / / 5 6/06 53/ 5 7/ 8 53/ 5 0 / /95 587/ / / / 95 5

14 = 6 6 0/37 0/9 0/ 0/3 0/ 7

15 / NS- II -

16 SMCDM Antonell, M, Lao, F & Tamea, S, 07, Water Resources, Food Securty and the Role of Vrtual Water Trade n the MENA Regon, In Envronmental Change and Human Securty n Afrca and the Mddle East, PP 99 7 Brassouls, H, 000, Analyss of Land Use Change Theoretcal and Modelng Approaches, Addtonal contact nformaton n Whole book from Regonal Research Insttute, West Vrgna Unversty, PP 9 9 Cao, K, Batty, M, Huang, B, Lu, Y, Yu, L & Chen, J, 0, spatal Mult-Objectve Land Use Optmzaton Extensons to the Non-Domnated Sortng Genetc Algorthm-II, Internatonal Journal of Geographcal Informaton Scence, PP Ss 30

17 Coello, CAC & Romero, CEM, 003, Evolutonary Algorthms and Multple Objectve Optmzaton, In Multple Crtera Optmzaton State of the Art Annotated Bblographc Surveys, PP Coello, CAC, Lamont, GB & van Veldhuzen, DA, 007, Evolutonary Algorthms for Solvng Mult-Objectve Problems, Vol 5, New York Sprnger, PP Datta, D, Deb, K, Fonseca, CM, Lobo, F, Condado, P & Sexas, J, 007, Mult- Objectve Evolutonary Algorthm for Land-Use Management Problem, Internatonal Journal of Computatonal Intellgence Research, PP Datta, D & Deb, K, 006, Desgn of Optmum Cross-Sectons for Load-Carryng Members Usng Mult-Objectve Evolutonary Algorthms, Internatonal Journal of Systemcs, Cybernetcs and Informatcs, PP Deb, K & Sundar, J, 006, Reference Pont Based Mult-Objectve Optmzaton Usng Evolutonary Algorthms, In Proceedngs of the 8th annual conference on Genetc and evolutonary computaton, PP Deb, K, Mohan, M & Mshra, S, 005, Evaluatng the -Domnaton Based Mult- Objectve Evolutonary Algorthm for a Quck Computaton of Pareto-Optmal Solutons, Evolutonary Computaton, PP Deb, K, Pratap, A, Agarwal, S, & Meyarvan, T, A M T, 00, A fast and dtst multobjectve genetc algorthm NS- IEEE transactons on evolutonary computaton, 6, 8-97 Das, AH & De Vasconcelos, JA, 00, Multobjectve Genetc Algorthms Appled to Solve Optmzaton Problems, IEEE Transactons on Magnetcs, PP Eldrandaly, K, 00, A GEP-Based Spatal Decson Support System for Multste Land Use Allocaton, Appled Soft Computng, PP El-Sadek, A, 00, Vrtual Water Trade as a Soluton for Water Scarcty n Egypt, Water Resources Management, PP 37 8 Du Frature, C, 00, Does Internatonal Cereal Trade Save Water? The Impact of Vrtual Water Trade on Global Water Use n Comprehensve, Assessment Research Report,, PP 7 Herzg, A, 008 A -Based Module for the Multobjectve Optmzaton of Areal Resource Allocaton, In Frs-Chrstensen L, Pundt H, Compte I eds Proceedngs of the th AGILE Internatonal Conference on Geographc Informaton Scence, Unversty of Grona, Span http//agle gs geo tudresden de/web/conference_paper/cds/agile, Vol 0008 Hoekstra, AY & Chapagan, AK, 006, Water Footprnts of Natons Water Use by People as a Functon of ther Consumpton Pattern, In Integrated Assessment of Water Resources and Global Change, PP 35 8 Horn, J, Nafplots, N & Goldberg, DE, 99, A Nched Pareto Genetc Algorthm for Multobjectve Optmzaton, In Evolutonary Computaton, IEEE World Congress on Computatonal Intellgence, PP 8 87 Krnk, T, 00 Multobjectve Land Use Optmsaton usng Evolutonary Algorthms, Doctoral Dssertaton, Dep of Computer Scence, Unversty of Aarhus, PP 8 Svanandam, SN & Deepa, SN, 007, Introducton to Genetc Algorthms, Sprnger Scence & Busness Meda, PP 95 Sheta, A & Turabeh, H, 006, A Comparson between Genetc Algorthms and Sequental Quadratc Programmng n Solvng Constraned Optmzaton Problems, ICGST Internatoanl Journal on Artfcal Intellgence and Machne Learnng AIML, PP 67 7 Stewart, TJ, Janssen, R & van Herwjnen, M, 00, A Genetc Algorthm Approach to Mult Objectve Land Use Plannng, Computers & Operatons Research, 3, PP Vllalta-Calderon, CA & Pérez-Alegr a, LR, 00, Mult-Objectve Optmzaton Approach for Land Use Allocaton Based on Water Qualty Crtera, In st Century Watershed Technology Improvng Water Qualty and Envronment Conference Proceedngs, PP 0 Yeh, JY & Ln, WS, 007, Usng Smulaton Technque and Genetc Algorthm to Improve the Qualty Care of a Hosptal Emergency Department, Expert Systems wth Applcatons, PP

Sum of Linear and Fractional Multiobjective Programming Problem under Fuzzy Rules Constraints

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