Axiomatic foundation of the analytic hierarchy process
Article Abstract:
An axiomatic treatment of the Analytic Hierarchy Process (AHP) is presented, in which the set of axioms related to hierarchic structures are a special case of axioms for priority-setting in systems with feedback and a wide class of dependencies. Four points highlighted by the axioms are: the reciprocal property that is basic in making paired comparisons; homogeneity (the ability of people to make comparisons among similar things) and the consequent need to arrange items within an order preserving hierarchy; dependence of a lower level of items on the adjacent higher level; and the notion that an outcome can only reflect expectations when the expectations are well-represented in the hierarchy.
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1986
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Decision making over time and under uncertainty: a common approach
Article Abstract:
Expected utility (EU) and discounted utility (DU) are decision-making models that are widely applied to varied issues including crime, fertility, labor supply, and saving behavior. The EU model, also referred to as risky choice, assumes that decisions are based on probabilities, while the DU model, or intertemporal choice, views decisions to be based on discount factors based on time delays. These models may appear dissimilar, but a comparison of the two concepts revealed certain commonalities. Among the study's findings is that actual behavior patterns are similar in intertemporal (DU) and in decision-making under uncertainty (EU).
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1991
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An exposition on the AHP in reply to the paper "remarks on the Analytic Hierarchy Process"
Article Abstract:
A paper on the Analytic Hierarchy Process (AHP) suggested that the AHP is an arbitrary process. However, a discussion is presented to respond to this charge which suggests that the AHP is a practicable theory built on ratio scales, and that the AHP does not need to be watered down to satisfy those researchers who analyze theories based on interval scales. Specifically, it is suggested that just because the AHP doe not follow the axioms and outcomes of utility theory does not mean the AHP is arbitrary.
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1990
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