2000
DOI: 10.1080/136588100240903
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Application of fuzzy measures in multi-criteria evaluation in GIS

Abstract: Multi-criteria evaluation (MCE) is perhaps the most fundamental of decision support operations in geographical information systems (GIS). This paper reviews two main MCE approaches employed in GIS, namely Boolean and Weighted Linear Combination (WLC), and discusses issues and problems associated with both. To resolve the conceptual di erences between the two approaches, this paper proposes the application of fuzzy measures, a concept that is broader but that includes fuzzy set membership, and argues that the s… Show more

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Cited by 592 publications
(375 citation statements)
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“…Very popular decision rules are those based upon additive aggregation, using criteria weights to give emphasis to more important criteria. The decision rules chosen for implementation in the mDSS software are (i) Simple Additive Weighting (SAW); (ii) Order Weighting Average (OWA) (Jiang and Eastman, 2000); (iii) the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) (Hwang and K., 1981); and (v) ELECTRE Bella et al, 1996;Figueira et al, 2005;Mahmoud and Garcia, 2000;Salminen et al, 1998;van Huylenbroeck, 1995. SAW is the most popular decision method because of its simplicity. It assumes additive aggregation of decision outcomes, which is controlled by weights expressing the criteria importance.…”
Section: Analysis Of Optionsmentioning
confidence: 99%
See 1 more Smart Citation
“…Very popular decision rules are those based upon additive aggregation, using criteria weights to give emphasis to more important criteria. The decision rules chosen for implementation in the mDSS software are (i) Simple Additive Weighting (SAW); (ii) Order Weighting Average (OWA) (Jiang and Eastman, 2000); (iii) the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) (Hwang and K., 1981); and (v) ELECTRE Bella et al, 1996;Figueira et al, 2005;Mahmoud and Garcia, 2000;Salminen et al, 1998;van Huylenbroeck, 1995. SAW is the most popular decision method because of its simplicity. It assumes additive aggregation of decision outcomes, which is controlled by weights expressing the criteria importance.…”
Section: Analysis Of Optionsmentioning
confidence: 99%
“…Order-weighted averaging (OWA) (Jiang and Eastman, 2000;Yagers, 1999) Value-oriented decision rule developed originally as a fuzzy aggregation operator. It provides continuous fuzzy aggregation operations between the fuzzy intersection and union, with weighted linear combination falling midway in between.…”
Section: Analysis Of Optionsmentioning
confidence: 99%
“…Multi criteria decision analysis encompasses three vital elements including 1) a number of alternatives 2) a number of criteria 3) alternatives' scores based on different criteria (attribute values) (Jiang & Eastman, 2000). In group multi criteria decision analysis, where more than one expert is applied, score of each alternative based on each expert is added to the three elements.…”
Section: Gis-based Multi Criteria Decision Analysismentioning
confidence: 99%
“…The number of order weights is equal to the number of criteria and must sum to one. The position of a set of order weights can be identified in a decision strategy space, based on the concepts of trade-off and risk (YAGER 1988, JIANG & EASTMAN 2000. Trade-off indicates the degree to which a low standardized value on one layer can be compensated for by a high standardized value on other considered criteria.…”
Section: Producing Fsa Map Based On Ordered Weighted Averagingmentioning
confidence: 99%
“…Trade-off indicates the degree to which a low standardized value on one layer can be compensated for by a high standardized value on other considered criteria. Risk refers to how much each criterion affects the final solution (JIANG & EASTMAN 2000, MALCZEWSKI 2006, ROBINSON et al 2010, 2014.…”
Section: Producing Fsa Map Based On Ordered Weighted Averagingmentioning
confidence: 99%