AHP is a versatile tool for prioritizing and making decisions.Â Yet, when facing numerous alternatives with significantly different scale, decision makers often found it impossible to put them together in one matrix and compare them simultaneously. To address the issue, Thomas Saaty and I (2011) proposed a new Analytic Hierarchy Process-based structure to capture the complex relationship between various levels of activities. Without the proposed model, we may not be able to tackle alternatives that are not comparable or it may require a very large number of comparisons, as only comparable items can be compared and used to calculate meaningful priorities. In this paper, we show how to use clustering and pivots to handle this difficulty. Through the proposed method, we expand the comparison scale, build a near-consistent matrix, and allow the use of incomparable alternatives.Â The proposed method helps us effectively derive priorities for alternatives with orders-of-magnitude differences like those in divergent intangible humane acts.
AHP, clustering, pivots, ranking alternatives, decision-making
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