Preference disaggregation for multiple criteria sorting with partial monotonicity constraints: Application to exposure management of nanomaterials
Preference disaggregation for multiple criteria sorting with partial monotonicity constraints: Application to exposure management of nanomaterials
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DOI：
10.1016/j.ijar.2019.11.007
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发表时间：
2020-02
期刊：
影响因子：
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通讯作者：
Miłosz Kadziński;Krzysztof Martyn;M. Cinelli;R. Słowiński;Salvatore Corrente;S. Greco
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文献类型：
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作者：
Miłosz Kadziński;Krzysztof Martyn;M. Cinelli;R. Słowiński;Salvatore Corrente;S. Greco
我们提出了一种新的多准则排序方法，该方法结合了基于阈值的值驱动过程。从决策者的不完全分配实例和对每个边际值函数的(非)单调性类型的部分要求中，通过偏好分解来推断决定边际值函数形状和分类阈值的参数。这些类型包括标准单调形状、水平单调函数、增减值趋势相结合的A型和V型以及未知单调性约束。通过求解一个专用的混合整数线性规划问题，构造了一个与偏好信息兼容的排序模型的典型实例。它的复杂性是通过最小化边值函数的所有后续子区间之间单调性的变化次数来控制的。根据稳健性分析的结果验证了使用所构建的代表性模型所得到的任务。将所提出的方法应用于工程纳米材料暴露管理的实际问题。我们开发了一个模型，用于预测在特定条件下使用呼吸器处理纳米材料时的预防级别。该模型捕捉了十个核算的评价标准之间的相互关系，包括单调和非单调标准，以及推荐的班级分配。这使得它适合于尚未由专家直接判断的暴露场景的管理。
We propose a novel approach to multiple criteria sorting incorporating a threshold-based value-driven procedure. The parameters deciding upon the shape of marginal value functions and separating class thresholds are inferred through preference disaggregation from the Decision Maker's incomplete assignment examples and partial requirements on the type of (non-)monotonicity for each marginal value function. These types include standard monotonic shapes, level-monotonic functions, A- and V-types combining increasing and decreasing value trends, and unknown monotonicity constraints. A representative instance of the sorting model compatible with the preference information is constructed by solving a dedicated Mixed-Integer Linear Programming problem. Its complexity is controlled by minimizing the number of changes in monotonicity between all subsequent sub-intervals of marginal value functions. The assignments derived using the constructed representative model are validated against the outcomes of robustness analysis. The proposed method is applied to a real-world problem of exposure management of engineered nanomaterials. We develop a model for predicting precaution level while handling nanomaterials in certain conditions using a respirator. The model captures interrelations between ten accounted evaluation criteria, including both monotonic and non-monotonic criteria, and the recommended class assignment. This makes it suitable for the management of exposure scenarios, which have not been directly judged by the experts.