On ordered weighted averaging aggregation operators in multicriteria decisionmaking
IEEE Transactions on Systems, Man and Cybernetics
Algorithm 659: Implementing Sobol's quasirandom sequence generator
ACM Transactions on Mathematical Software (TOMS)
The concept of stability fields and hot spots in ranking of environmental chemicals
Environmental Modelling & Software
How to avoid a perfunctory sensitivity analysis
Environmental Modelling & Software
Environmental Modelling & Software
Environmental Modelling & Software
Sensitivity analysis of the MAGFLOW Cellular Automaton model for lava flow simulation
Environmental Modelling & Software
Review: Three complementary methods for sensitivity analysis of a water quality model
Environmental Modelling & Software
Estimating Sobol sensitivity indices using correlations
Environmental Modelling & Software
A long-term sensitivity analysis of the denitrification and decomposition model
Environmental Modelling & Software
Environmental Modelling & Software
Environmental Modelling & Software
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Partial order tools can be used in multiple criteria analysis to prioritize and rank a set of objects. In this setting the starting point is generally a matrix M"n"x"k of k observed indicators on n objects. Given that indicators are measured at least at the ordinal level, from matrix M its corresponding partially ordered set - poset - is set up to form the basis of multi-criteria ranking. The partial order may be very complex even when the number of objects to be compared is relatively small. The reason of such complexity is often due to the intrinsic nature of partial order which is exclusively based on the ordinal properties of the data matrix. Incomparabilities between objects can be due even to very small differences in the observed values of indicators thus causing 'irrelevant' incomparabilities. Also, objects may have been characterized with a redundant set of variables so that the change in the values of some indicators should not seriously affect the structure of the poset. These two opposite conditions are directly linked to the indicator level of influence and call for an indicator value related sensitivity analysis for testing the robustness of posets. In this work we propose a method to carry out a sensitivity analysis for posets by using variance-based sensitivity indices to detect main effects and interactions between indicators. To this aim, we characterize the poset structure with scalar measures and compute variance-based sensitivity indices according to the most recent practice for a fully exploratory sensitivity analysis. These indices allow for detecting least and most influencing indicators.