Zahir, S. and Al-Mahmud, Z. (2009) Experimenting with the Proposed New Aggregation Rule for the Additive Analytic Hierarchy Process: Consistency vs. Rank Reversal. Proceedings of the Annual Conference of the Administrative Sciences Association of Canada (ASAC), Niagra Falls, 6-9 June 2009, 1-12.
http://ojs.acadiau.ca/index.php/ASAC/article/viewFile/500/409

has been cited by the following article:

• TITLE: Aggregation of Priorities in Multi-Criteria Decision Analysis (MCDA): Connecting Decision Spaces in the Cognitive Space

  AUTHORS: Sajjad Zahir

  KEYWORDS: Aggregation, Normalization, Decision Space, Cognitive Space, Analytic Hierarchy Process, Scenario

  JOURNAL NAME: American Journal of Operations Research, Vol.6 No.4, July 21, 2016

  ABSTRACT: In Multi-Criteria Decision Analysis, the well-known weighted sum method for aggregating normalised relative priorities ignores the unit of scale that may vary across the criteria and thus causes rank reversals. A new aggregation rule that explicitly includes the norms of priority vectors is derived and shown as a remedy for it. An algorithmic procedure is presented to demonstrate how it can as well be used in the Analytic Hierarchy Process when norms of priority vectors are not readily available. Also, recursion relations connecting two decision spaces with added or deleted alternatives give an opportunity to extend the idea of connectivity to a new concept of cognitive space. Expanded analytic modelling embracing multiple decision spaces or scenarios may assist in detecting deficiencies in analytic models and also grasping the big picture in decision making.