2011
DOI: 10.1057/jors.2010.23
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Influence of aggregation and measurement scale on ranking a compromise alternative in AHP

Abstract: Analytic Hierarchy Process (AHP) is one of the most popular multi-attribute decision aid methods. However, within AHP, there are several competing preference measurement scales and aggregation techniques. In this paper, we compare these possibilities using a decision problem with an inherent trade-off between two criteria. A decision-maker has to choose among three alternatives: two extremes and one compromise. Six different measurement scales described previously in the literature and the new proposed logarit… Show more

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Cited by 93 publications
(18 citation statements)
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“…It is also a common tool for ranking independent factors having impact on a complex phenomenon [103][104][105]. In order to ensure robustness of the results, we chose an AHP method with three different scales, representing three main scale groups, i.e., from first category, we chose inverse linear scale [106], logarithmic [107] and a power scale [108] from the second and the third categories. Once the Eigenvectors using all the three scales were computed, the next step was the normalization of the obtained results.…”
Section: Analytic Hierarchy Process Methodsmentioning
confidence: 99%
“…It is also a common tool for ranking independent factors having impact on a complex phenomenon [103][104][105]. In order to ensure robustness of the results, we chose an AHP method with three different scales, representing three main scale groups, i.e., from first category, we chose inverse linear scale [106], logarithmic [107] and a power scale [108] from the second and the third categories. Once the Eigenvectors using all the three scales were computed, the next step was the normalization of the obtained results.…”
Section: Analytic Hierarchy Process Methodsmentioning
confidence: 99%
“…where: i=line j=column n=criteria (5) = criteria After obtaining priority, the main criteria in determining prospective debtors then is to determine the priority of the sub-criteria of each of the main criteria using equations . Various other forms of scale have been proposed with different preference strength intervals, such as Power Scale [17], Geometric Scale [18], and Logarithmic Scale [19]. The examples presented from our approach use a scale of 1-9, but any limited numerical scale can be used in this approach.…”
Section: Methodsmentioning
confidence: 99%
“…The authors Kumar et al [147], for example, applied AHP to consider, at stratified levels, many criteria, and opinions of the multiple stakeholders involved in sustainable micro-grid design scenarios. The three principles (decomposition, comparative judgments, and priority synthesis) can be accomplished by the following steps: modeling or structuring of the decision problem, valuation and aggregation of weight, and sensitivity analysis [186]. Expert comparative judgments weight the criteria of the hierarchical structure and permit a check of consistency by a proportion scale [187].…”
Section: Ahpmentioning
confidence: 99%
“…The alternative prioritization vector is calculated by assigning values that describe the degree to which a given alternative meets the criteria. Additive aggregation with the normalization of the sum of local priorities determines the overall option priorities at the last level of the hierarchical structure [186]. Hence, the AHP method permits divided the problem into its smaller parts, helping decision-makers organize the critical aspects of a problem [28,171].…”
Section: Ahpmentioning
confidence: 99%