Document Type
Article
Publication Date
12-1-2008
Abstract
This communication focuses on a fundamental problem related to the recently introduced Reference-Dependent Regret Model (RDRM) [E. Kujawski, Syst Eng 8(2) (2005), 119-1371 for deterministic multi-criteria decision-making. Kujawski asserted that the RDRM model satisfies three properties. The first of these properties, referred to as the "independence of dominated alternatives," seems to be an intuitive one. According to this property, the RDRM model preserves the ranking of two alternatives Ai and Aj with ranking Ai > Aj when a new alternative dominated by Ai is introduced or an old alternative dominated by Aj is dropped. In this communication it is demonstrated algebraically and also by means of a numerical example that the RDRM model may fail to satisfy this property. The implication is that when the concepts of regret and/or rejoicing are considered and defined in terms of all the available alternatives in accordance with the RDRM, adding or dropping a dominated alternative can change the ranking of the alternatives and violate the independence of dominated alternatives property © 2008 Wiley Periodicals, Inc.
Publication Source (Journal or Book title)
Systems Engineering
First Page
360
Last Page
364
Recommended Citation
Wang, X., Triantaphyilou, E., & Kujawski, E. (2008). Communication on the paper "A reference-dependent regret model for deterministic tradeoff studies". Systems Engineering, 11 (4), 360-364. https://doi.org/10.1002/sys.20115
