Sensitivity analysis for choice problems with partial preference relations
- 作者：Vladislav V. Podinovski podinovski@mail.ru
- 关键词：Multi-criteria decision analysis ; Sensitivity analysis ; Partial preference relation ; Dominance ; Criteria importance theory ; Coefficients of importance
- 刊名：European Journal of Operational Research
- 出版年：2012
- 期刊代码：58_03772217
- 类别：et
- 出版时间：16 August, 2012
- 卷：221
- 期：1
- 页码：198-204
- 文件大小：308 K
摘要
In this paper we consider choice problems under the assumption that the preferences of the decision maker are expressed in the form of a parametric partial weak order without assuming the existence of any value function. We investigate both the sensitivity (stability) of each non-dominated solution with respect to the changes of parameters of this order, and the sensitivity of the set of non-dominated solutions as a whole to similar changes. We show that this type of sensitivity analysis can be performed by employing techniques of linear programming.