AHP - Analytic Hierarchy Process

Multi-Criteria Decision-Making (MCDM) consists of a group of methods/procedures designed to solve problems with multiple conflicting criteria (Pirdashti et al., 2011), and can be divided in two main categories (Hwang and Yoon 1981; Malczewski, 1999): multi-objective decision-making (MO) and multi-attribute decision-making (MA). In the first, the decision space is continuous, while in the latter it is discrete.

The Analytic Hierarchy Process (AHP) is a MA method appropriate when the decision problem is complex and ill-structured. The decision problem is broken down into its smaller parts, by organizing the decision factors (objectives, criteria, sub-criteria, and alternatives) in a hierarchical structure. The AHP was developed by Thomas L. Saaty (Saaty, 1977; 1980), and its extensive use is due to its properties, such as the use of the subjective aspects associated with the analysis of a complex problem, the possibility of integrating subjective and objective data, and the combination of individual and group priorities and/or preferences (Singh, 2016).

Criteria and alternatives are compared pairwise, using a scale of absolute numbers (known as the Saaty scale) which captures individual preferences with respect to quantitative and qualitative attributes. The scale varies from 1 (when the two alternatives/criteria are equally important) to 9 (when the first alternative/criterion is extremely important in respect to the second.

References

  • Pirdashti M., Omidi M., Pirdashti H., Hassim M.H. (2011), An AHP-Delphi Multi-Criteria Decision Making Model with Application to Environmental Decision-Making, Iranian Journal of Chemical Engineering, Vol. 8(2), pp.3-17
  • Hwang, C.L., Yoon, K.: Multiple Attribute Decision Making: Methods and Applications. Springer-Verlag, New York (1981)
  • Malczewski, J.: GIS and Multicriteria Decision Analysis. Wiley, New York (1999)
  • Saaty, T.L. (1977), A Scaling Method for Priorities in Hierarchical Structures, Journal of Mathematical Psychology 15 (3): 234-281.
  • Saaty T.L.: The Analytic Hierarchy Process. McGraw-Hill, New York (1980)
  • Singh B. (2016), Analytical hierarchical process (ahp) and fuzzy ahp applications - a Review paper, International Journal of Pharmacy & Technology, 8(4), pp. 4925-4946.
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