Abstract
An index of robustness of the preference between two alternatives is proposed. Given a finite number of alternatives, n conflicting criteria and weights wi ≥ 0, i=1, …n representing the preferences of the decision maker, a robustness index r(x,y) ε [-1,1] is defined. This index can be seen as a measure of the “robustness” of the preference order of two alternatives x and y with respect to the chosen weights Wi, i=1,. …n. If r(x,y) is closed to zero, only minor changes of the weights will change the preference order of the alternatives x and y, whereas e.g. a value of r(x,y) close to 1 implies a “strong” preference of x over y. It is shown that the index can also be defined for general additive preference models. A proof that the proposed index, for the additive case, is moderated stochastic transitive is given.
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Guillén, S.T., Trejos, M.S., Canales, R. (2000). A Robustness Index of Binary Preferences. In: Haimes, Y.Y., Steuer, R.E. (eds) Research and Practice in Multiple Criteria Decision Making. Lecture Notes in Economics and Mathematical Systems, vol 487. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57311-8_8
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DOI: https://doi.org/10.1007/978-3-642-57311-8_8
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