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Fig. 2. Alternatives are defined as homogenous zones. The global concordance index characterises the relative importance of the criteria considered to be in concordance with the affirmation “A and B are close’. It is computed by the weighted average of partial concordance index (c;) evaluated for each criterion (Fig. 3):

Figure 2 Alternatives are defined as homogenous zones. The global concordance index characterises the relative importance of the criteria considered to be in concordance with the affirmation “A and B are close’. It is computed by the weighted average of partial concordance index (c;) evaluated for each criterion (Fig. 3):

Related Figures (9)

Fig. 1. MAGISTER model. MAGISTER proposes to consider that an alternative is not only an area with a sufficiently
Fig. 1. MAGISTER model. MAGISTER proposes to consider that an alternative is not only an area with a sufficiently
Weights express the relative importance of criteria in the closeness relation. The partial concordance index is a function of the difference between two elements (on the considered criteria) and the thresholds defining indifference and the strict difference (Fig. 3).
Weights express the relative importance of criteria in the closeness relation. The partial concordance index is a function of the difference between two elements (on the considered criteria) and the thresholds defining indifference and the strict difference (Fig. 3).
Fig. 4. Partial discordance index. The zones formation begins with a classification of the elementary surfaces (Fig. 5). This operation can be realised by an ordinary algorithm (unsupervised classification). Then, the
Fig. 4. Partial discordance index. The zones formation begins with a classification of the elementary surfaces (Fig. 5). This operation can be realised by an ordinary algorithm (unsupervised classification). Then, the
Fig. 5. Applied process to construct the homogeneous zones. Es; means elementary surface. Land management services in public administration have frequently to take quick decisions without being able to analyse the consequences. To avoid this situation, we propose to use MAGISTER to establish land suitability maps, as a decision tool for public administrations (Fig. 6). These maps should integrate all the relevant data and some precise analysis. Their
Fig. 5. Applied process to construct the homogeneous zones. Es; means elementary surface. Land management services in public administration have frequently to take quick decisions without being able to analyse the consequences. To avoid this situation, we propose to use MAGISTER to establish land suitability maps, as a decision tool for public administrations (Fig. 6). These maps should integrate all the relevant data and some precise analysis. Their
Fig. 6. Land management by using land suitability maps. MMPOLldAHee OL AITO diiG Ol spdlidl diidlyoslis lil LUIS ULI Id ©VdlUuduOl. Land suitability maps are based on eight criteria: impacts, air quality, noise, accessibility climate, landslide, technical networks (water, electricity, etc.) and view. These criteria hav been evaluated by use of simulation models (solar radiation, noise analysis (Fig. 7). The study area contains more than 80,000 land units 625 m?. By use of a homogeneity index a total of 650 zones composi were formed (Fig. 8). Each zone is described by nine fields. These field eight criteria and the value of the homogeneity index. To be consid zone must have an index greater than a chosen threshold (0.8 for t pro ng Ss his threshold will increase the numbers of homogeneous zones. Obvious y> pagation) and spa (pixels) with a surface the set of alternative: ore the scores for ered as homogeneous, ¢ map). Increasing t heir surface will a ia oO he hi S¢ become smaller. Decision-makers should give their point of view about the value o indifference, strict difference and veto. Then, the threshold has to be fixed in order to obtain « reasonable number of alternatives. However, it should not be smaller than 0.6 neither bigge than 0.9. A value smaller than 0.6 would mean that the homogeneity conditions could be quit easily transgressed, while a value bigger than 0.9 would impose very strongly these conditions.
Fig. 6. Land management by using land suitability maps. MMPOLldAHee OL AITO diiG Ol spdlidl diidlyoslis lil LUIS ULI Id ©VdlUuduOl. Land suitability maps are based on eight criteria: impacts, air quality, noise, accessibility climate, landslide, technical networks (water, electricity, etc.) and view. These criteria hav been evaluated by use of simulation models (solar radiation, noise analysis (Fig. 7). The study area contains more than 80,000 land units 625 m?. By use of a homogeneity index a total of 650 zones composi were formed (Fig. 8). Each zone is described by nine fields. These field eight criteria and the value of the homogeneity index. To be consid zone must have an index greater than a chosen threshold (0.8 for t pro ng Ss his threshold will increase the numbers of homogeneous zones. Obvious y> pagation) and spa (pixels) with a surface the set of alternative: ore the scores for ered as homogeneous, ¢ map). Increasing t heir surface will a ia oO he hi S¢ become smaller. Decision-makers should give their point of view about the value o indifference, strict difference and veto. Then, the threshold has to be fixed in order to obtain « reasonable number of alternatives. However, it should not be smaller than 0.6 neither bigge than 0.9. A value smaller than 0.6 would mean that the homogeneity conditions could be quit easily transgressed, while a value bigger than 0.9 would impose very strongly these conditions.
Intermediate results during the homogeneous construction process Table 1
Intermediate results during the homogeneous construction process Table 1
Fig. 7. Examples of maps resulting from the criteria evaluations. From left to right and top to bottom: noise, climate, distance to technical networks and impacts. Clearer areas are better suited for housing.
Fig. 7. Examples of maps resulting from the criteria evaluations. From left to right and top to bottom: noise, climate, distance to technical networks and impacts. Clearer areas are better suited for housing.
Fig. 8. Map of homogeneous zones. The thin lines delimit the 650 homogeneous zones. One of them is presented in black, in order to show that a zone can be composed of several separated areas.
Fig. 8. Map of homogeneous zones. The thin lines delimit the 650 homogeneous zones. One of them is presented in black, in order to show that a zone can be composed of several separated areas.
Fig. 9. Example of a land suitability map for housing. _— Homogenous zone construction introduces three new parameters in the decision support process (indifference, strict difference and veto). However, these parameters are analogous to those used in ELECTRE methods (indifference, preference, and veto). Therefore, to simplify the decision-makers involvement, the analyst can either choose the same value, or either deduce one set of parameters from the other set.
Fig. 9. Example of a land suitability map for housing. _— Homogenous zone construction introduces three new parameters in the decision support process (indifference, strict difference and veto). However, these parameters are analogous to those used in ELECTRE methods (indifference, preference, and veto). Therefore, to simplify the decision-makers involvement, the analyst can either choose the same value, or either deduce one set of parameters from the other set.
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Information SystemsApplied MathematicsBusiness and ManagementMulticriteria Decision AnalysisRough set theory
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