Effects of increasing fuzziness on analytic hierarchy process for spatial multicriteria decision analysis

Computers, Environment and Urban Systems

Volumn 36, Issue 1, 2012, Pages 43-53

  Kordi, Maryam ^a   Brandt, S Anders ^b  

^a NATIONAL UNIVERSITY OF IRELAND   (Ireland)

^b UNIVERSITY OF GÄVLE   (Sweden)

Author keywords

Analytic hierarchy process; Fuzzy logic; Geographical information systems; Multicriteria decision analysis; Sensitivity analysis

Indexed keywords

COSTA RICA; CRISP NUMBERS; DECISION MAKERS; DECISION MAKING PROCESS; DECISION PROBLEMS; DECISION RULES; DECISION-MAKING PROBLEM; FINAL DECISION; FUZZIFICATIONS; FUZZY AHP; FUZZY ANALYSIS; GEOGRAPHICAL INFORMATION SYSTEM; MULTI-CRITERIA DECISION ANALYSIS; PAIR-WISE COMPARISON; REAL WORLD DATA; RELATIVE IMPORTANCE; SPATIAL PROBLEMS; THEORETICAL RESEARCH;

ANALYTIC HIERARCHY PROCESS; DECISION MAKING; FUZZY LOGIC; FUZZY SET THEORY; FUZZY SYSTEMS; GEOGRAPHIC INFORMATION SYSTEMS; HIERARCHICAL SYSTEMS; PROBLEM SOLVING; SPATIAL VARIABLES MEASUREMENT;

SENSITIVITY ANALYSIS;

DAM CONSTRUCTION; DECISION SUPPORT SYSTEM; FUZZY MATHEMATICS; GIS; LOCATION DECISION; MULTICRITERIA ANALYSIS; SPATIAL ANALYSIS;

COSTA RICA;

EID: 84855509013     PISSN: 01989715     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compenvurbsys.2011.07.004     Document Type: Article

References (36)

1. Baban S.M.J., Wan-Yusof K. Modelling optimum sites for locating reservoirs in tropical environments. Water Resources Management 2003, 17(1):1-17. 10.1023/A:1023066705226.
2. Barzilai J. Deriving weights from pairwise comparison matrices. Journal of Operational Research Society 1997, 48(12):1226-1232. 10.1057/palgrave.jors.2600474.
3. Boroushaki S., Malczewski J. Implementing an extension of the analytical hierarchy process using ordered weighted averaging operators with fuzzy quantifiers in ArcGIS. Computers and Geosciences 2008, 34(4):399-410. 10.1016/j.cageo.2007.04.003.
4. Buckley J.J. Fuzzy hierarchical analysis. Fuzzy Sets and Systems 1985, 17(3):233-247. 10.1016/0165-0114(85)90090-9.
5. Buckley J.J. Ranking alternatives using fuzzy numbers. Fuzzy Sets and Systems 1985, 15(1):21-31. 10.1016/0165-0114(85)90013-2.
6. Buckley J.J., Feuring T., Hayashi Y. Fuzzy hierarchical analysis revisited. European Journal of Operational Research 2001, 129(1):48-64. 10.1016/S0377-2217(99)00405-1.
7. Chang D.-Y. Application of the extent analysis method on fuzzy AHP. European Journal of Operational Research 1996, 95(3):649-655. 10.1016/0377-2217(95)00300-2.
8. Chang S.K.J., Lei H.-L., Jung S.-T., Lin R.H.-J., Lin J.S.-J., Lan C.-H., et al. Note on deriving weights from pairwise comparison matrices in AHP. International Journal of Information and Management Sciences 2008, 19(3):507-517.
9. Chen Y., Yu J., Khan S. Spatial sensitivity analysis of multi-criteria weights in GIS-based land suitability evaluation. Environmental Modelling & Software 2010, 25(12):1582-1591. 10.1016/j.envsoft.2010.06.001.
10. Crawford G., Williams C. A note on the analysis of subjective judgment matrices. Journal of Mathematical Psychology 1985, 29(4):387-405. 10.1016/0022-2496(85)90002-1.
11. Eastman, J. R. (2003). IDRISI Kilimanjaro: Guide to GIS and image processing. Manual Version 14.00. Clark University Worcester.
12. Eastman J.R., Jin W., Kyem P.A.K., Toledano J. Raster procedures for multi-criteria/multi-objective decisions. Photogrammetric Engineering & Remote Sensing 1995, 61(5):539-547.
13. Gemitzi A., Tsihrintzis V.A., Voudrias E., Petalas C., Stravodimos G. Combining geographic information system, multicriteria evaluation techniques and fuzzy logic in siting MSW landfills. Environmental Geology 2007, 51(5):797-811. 10.1007/s00254-006-0359-1.
14. Gismalla Y.A., Bruen M. Use of a GIS in reconnaissance studies for small-scale hydropower development in a developing country: A case study from Tanzania. HydroGIS 96: Application of geographic information system in hydrology and water resources management 1996, Vol. 235:307-312. IAHS Publ.
15. Hagen-Zanker A. An improved Fuzzy Kappa statistic that accounts for spatial autocorrelation. International Journal of Geographical Information Science 2009, 23(1):61-73. 10.1080/13658810802570317.
16. van Laarhoven P.J.M., Pedrycz W. A fuzzy extension of Saaty's priority theory. Fuzzy Sets and Systems 1983, 11(3):199-227. 10.1016/S0165-0114(83)80082-7.
17. Ligmann-Zielinska, A., & Jankowski, P. (2008). A framework for sensitivity analysis in spatial multiple criteria evaluation. In T. J. Cova, H. J. Miller, K. Beard, A. U. Frank & M. F. Goodchild (Eds.), Proceedings of the 5th international conference on geographic information science, GIScience 2008, Park City, UT, USA, 2008. Lecture Notes in Computer Science (Vol. 5266, pp. 217-233). Springer: Berlin/Heidelberg.
18. Liu X. Parameterized defuzzification with maximum entropy weighting function - Another view of the weighting function expectation method. Mathematical and Computer Modelling 2007, 45(1-2):177-188. 10.1016/j.mcm.2006.04.014.
19. Malczewski J. GIS and multicriteria decision analysis 1999, Wiley, New York.
20. Malczewski J. GIS-based multicriteria decision analysis: a survey of the literature. International Journal of Geographical Information Science 2006, 20(7):703-726. 10.1080/13658810600661508.
21. Malczewski J. Ordered weighted averaging with fuzzy quantifiers: GIS-based multicriteria evaluation for land-use suitability analysis. International Journal of Applied Earth Observation and Geoinformation 2006, 8(4):270-277. 10.1016/j.jag.2006.01.003.
22. Opricovic S., Tzeng G.-H. Defuzzification within a multicriteria decision model. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 2003, 11(5):635-652. 10.1142/S0218488503002387.
23. Saaty T.L. A scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology 1977, 15(3):234-281. 10.1016/0022-2496(77)90033-5.
24. Saaty T.L. The analytic hierarchy process 1980, McGraw-Hill, New York.
25. Saaty T.L. How to make a decision: The analytic hierarchy process. European Journal of Operational Research 1990, 48(1):9-26. 10.1016/0377-2217(90)90057-I.
26. Saaty T.L. There is no mathematical validity for using fuzzy number crunching in the analytic hierarchy process. Journal of Systems Science and Systems Engineering 2006, 15(4):457-464. 10.1007/s11518-006-5021-7.
27. Saaty T.L., Tran L.T. On the invalidity of fuzzifying numerical judgments in the analytic hierarchy process. Mathematical and Computer Modelling 2007, 46(7-8):962-975. 10.1016/j.mcm.2007.03.022.
28. Saborio, J. (no year). Mapeo digital del potencial de erosion, cuenca Río Reventazón, CostaRica. Technical Report Instituto Costarricence de Electricidad.
29. Sui D.Z. A fuzzy GIS modeling approach for urban land evaluation. Computers, Environment and Urban Systems 1992, 16(2):101-115. 10.1016/0198-9715(92)90022-J.
30. Vadrevu K.P., Eaturu A., Badarinath K.V.S. Fire risk evaluation using multicriteria analysis - A case study. Environmental Monitoring and Assessment 2010, 166(1-4):223-239. 10.1007/s10661-009-0997-3.
31. Vahidnia M.H., Alesheikh A.A., Alimohammadi A. Hospital site selection using fuzzy AHP and its derivatives. Journal of Environmental Management 2009, 90(10):3048-3056. 10.1016/j.jenvman.2009.04.010.
32. Vahrson W.-G. Tropische Starkregen und ihre Verteilung: das Beispiel des Einzugsgebietes des Río Reventazón, Costa Rica (Spatial distribution of heavy rainfalls in the tropic: the example of the Río Reventazón catchment, Costa Rica). Die Erde 1992, 123(1):1-15.
33. Wang Y.-M., Elhag T.M.S. An approach to avoiding rank reversal in AHP. Decision Support Systems 2006, 42(3):1474-1480. 10.1016/j.dss.2005.12.002.
34. Warren, L. (2004). Uncertainties in the analytic hierarchy process. Tech Note DSTO TN-0597 Australian Government, Department of Defence, Command and Control Division Information Sciences Laboratory Edinburgh, Australia.
35. Yager R.R., Kelman A. An extension of the analytical hierarchy process using OWA operators. Journal of Intelligent and Fuzzy Systems 1999, 7(4):401-417.
36. Yang C.-C., Chen B.-S. Key quality performance evaluation using fuzzy AHP. Journal of the Chinese Institute of Industrial Engineers 2004, 21(6):543-550.