Using the fuzzy majority approach for GIS-based multicriteria group decision-making

This paper is concerned with developing a framework for GIS-based multicriteria group decision-making using the fuzzy majority approach. The procedure for solving a spatial group decision-making problem involves two stages. First, each decision-maker solves the problem individually. Second, the individual solutions are aggregated to obtain a group solution. The first stage is operationalized by a linguistic quantifier-guided ordered weighted averaging (OWA) procedure to create individual decision-maker's solution maps. Then the individual maps are combined using the fuzzy majority procedure to generate the group solution map which synthesizes the majority of the decision-makers' preferences. The paper provides an illustrative example of the fuzzy majority method for a land suitability problem. It also demonstrates the implementation of the framework within the ArcGIS environment.

[1]  Piero P. Bonissone,et al.  A fuzzy sets based linguistic approach: Theory and applications , 1980, WSC '80.

[2]  Jacek Malczewski,et al.  GIS‐based multicriteria decision analysis: a survey of the literature , 2006, Int. J. Geogr. Inf. Sci..

[3]  Jacek Malczewski,et al.  GIS–Multicriteria Evaluation with Ordered Weighted Averaging (OWA): Case Study of Developing Watershed Management Strategies , 2003 .

[4]  J. Kacprzyk,et al.  The Ordered Weighted Averaging Operators: Theory and Applications , 1997 .

[5]  Ronald R. Yager,et al.  On the inclusion of importances in OWA aggregations , 1997 .

[6]  C. Hwang,et al.  Group Decision Making Under Multiple Criteria: Methods and Applications , 1986 .

[7]  P. Kyem.  Of Intractable Conflicts and Participatory GIS Applications: The Search for Consensus amidst Competing Claims and Institutional Demands , 2004 .

[8]  T. Nyerges,et al.  Geographic information systems for group decision making : towards a participatory, geographic information science , 2001 .

[9]  Nils Rosmuller,et al.  Group decision making in infrastructure safety planning , 2004 .

[10]  Gerardine DeSanctis,et al.  Providing Decisional Guidance for Multicriteria Decision Making in Groups , 2000, Inf. Syst. Res..

[11]  Jacek Malczewski,et al.  Implementing an extension of the analytical hierarchy process using ordered weighted averaging operators with fuzzy quantifiers in ArcGIS , 2008, Comput. Geosci..

[12]  Ching-Lai Hwang,et al.  Fuzzy Multiple Attribute Decision Making - Methods and Applications , 1992, Lecture Notes in Economics and Mathematical Systems.

[13]  Jacek Malczewski,et al.  GIS and Multicriteria Decision Analysis , 1999 .

[14]  G. Brent Hall,et al.  A method for examining the spatial dimension of multi-criteria weight sensitivity , 2004, Int. J. Geogr. Inf. Sci..

[15]  Christos Makropoulos,et al.  Fuzzy Logic Spatial Decision Support System for Urban Water Management , 2003 .

[16]  J. Malczewski,et al.  Ordered weighted averaging with fuzzy quantifiers: GIS-based multicriteria evaluation for land-use suitability analysis , 2006 .

[17]  Timothy L. Nyerges,et al.  GROUP-BASED GEOGRAPHIC INFORMATION SYSTEMS FOR TRANSPORTATION IMPROVEMENT SITE SELECTION , 1997 .

[18]  Henk J. Scholten,et al.  Geographical information systems for urban and regional planning , 1990 .

[19]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decisionmaking , 1988, IEEE Trans. Syst. Man Cybern..

[20]  Ronald R. Yager,et al.  The power average operator , 2001, IEEE Trans. Syst. Man Cybern. Part A.

[21]  Hong Jiang,et al.  Application of fuzzy measures in multi-criteria evaluation in GIS , 2000, Int. J. Geogr. Inf. Sci..

[22]  Subhasish Dasgupta,et al.  Geospatial information utility: an estimation of the relevance of geospatial information to users , 2004, Decis. Support Syst..

[23]  John R. Weeks,et al.  Assessing vulnerability to earthquake hazards through spatial multicriteria analysis of urban areas , 2003, Int. J. Geogr. Inf. Sci..

[24]  Madan M. Gupta,et al.  Approximate reasoning in decision analysis , 1982 .

[25]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[26]  Jacek Malczewski,et al.  A. GIS-Based Approach to Multiple Criteria Group Decision-Making , 1996, Int. J. Geogr. Inf. Sci..

[27]  Stephen J. Carver,et al.  Integrating multi-criteria evaluation with geographical information systems , 1991, Int. J. Geogr. Inf. Sci..

[28]  J. Kacprzyk,et al.  A `human-consistent' degree of consensus based on fuzzy login with linguistic quantifiers , 1989 .

[29]  Piotr Jankowski,et al.  Spatial Group Choice: A SDSS Tool for Collaborative Spatial Decision-Making , 1997, Int. J. Geogr. Inf. Sci..

[30]  Dimitar Filev,et al.  Induced ordered weighted averaging operators , 1999, IEEE Trans. Syst. Man Cybern. Part B.

[31]  Piotr Jankowski,et al.  GIS-Supported Collaborative Decision Making: Results of an Experiment , 2001 .

[32]  Ronald R. Yager,et al.  Modeling the concept of majority opinion in group decision making , 2006, Inf. Sci..

[33]  J. Kacprzyk,et al.  OWA operators in group decision making and consensus reaching under fuzzy preferences and fuzzy majority , 1997 .

[34]  L. Ayalew,et al.  Landslide susceptibility mapping using GIS-based weighted linear combination, the case in Tsugawa area of Agano River, Niigata Prefecture, Japan , 2004 .

[35]  D. I. Heywood,et al.  An Introduction to Geographical Information Systems , 2002 .

[36]  David A. Bennett,et al.  Exploring the Solution Space of Semi‐structured Geographical Problems Using Genetic Algorithms , 1999, Trans. GIS.

[37]  P. Gessler,et al.  An heuristic approach for mapping landslide hazard by integrating fuzzy logic with analytic hierarchy process , 2006 .

[38]  K. Arrow.  Social Choice and Individual Values , 1951 .

[39]  C.C. de Araujo,et al.  Multicriteria Geologic Data Analysis for Mineral Favorability Mapping: Application to a Metal Sulphide Mineralized Area, Ribeira Valley Metallogenic Province, Brazil , 2002 .

[40]  R. Yager.  Quantifier guided aggregation using OWA operators , 1996, Int. J. Intell. Syst..

[41]  Claus Rinner,et al.  Exploring multicriteria decision strategies in GIS with linguistic quantifiers: A case study of residential quality evaluation , 2005, J. Geogr. Syst..

[42]  Shivanand Balram,et al.  Collaborative geographic information systems , 2006 .

[43]  Florent Joerin,et al.  Using GIS and outranking multicriteria analysis for land-use suitability assessment , 2001, Int. J. Geogr. Inf. Sci..

[44]  C. L. Burton,et al.  Decision support to assist environmental sedimentology modelling , 2003 .

[45]  David O'Sullivan,et al.  Geographic Information Analysis , 2002 .

[46]  Reza Banai,et al.  Fuzziness in Geographical Information Systems: Contributions from the Analytic Hierarchy Process , 1993, Int. J. Geogr. Inf. Sci..

[47]  P. Rietveld,et al.  Multicriteria analysis and geographical information systems: an application to agricultural land use in the netherlands , 1990 .