Modeling assignment-based pairwise comparisons within integrated framework for value-driven multiple criteria sorting
Modeling assignment-based pairwise comparisons within integrated framework for value-driven multiple criteria sorting
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DOI：
10.1016/j.ejor.2014.09.050
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发表时间：
2015-03
期刊：
影响因子：
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通讯作者：
Miłosz Kadziński;Krzysztof Ciomek;R. Słowiński
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文献类型：
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作者：
Miłosz Kadziński;Krzysztof Ciomek;R. Słowiński
我们引入了一个新的偏好解聚模型公式的多准则排序与一组附加值函数。决策者（DM）提供的偏好信息包括：（1）可能不精确的分配示例，（2）所需的类基数，以及（3）基于分配的成对比较。后者的形式不精确的陈述，指的是所需的分配对的替代品，但没有指定任何具体的类。此外，我们占偏好的边缘值函数的形状和所需的综合价值的替代品分配给一个给定的类或类范围。利用与这些偏好相容的所有值函数会产生三种类型的结果：（1）必要和可能的分配，（2）极端类基数，以及（3）必要和可能的基于分配的偏好关系。这些输出对应于不同类型的被接纳的偏好信息。通过展示不同的结果，我们鼓励DM以各种方式丰富她/他的偏好信息交互。该框架的适用性证明的数据，涉及到宜居类城市的分类。
We introduce a new preference disaggregation modeling formulations for multiple criteria sorting with a set of additive value functions. The preference information supplied by the Decision Maker (DM) is composed of: (1) possibly imprecise assignment examples, (2) desired class cardinalities, and (3) assignment-based pairwise comparisons. The latter have the form of imprecise statements referring to the desired assignments for pairs of alternatives, but without specifying any concrete class. Additionally, we account for preferences concerning the shape of the marginal value functions and desired comprehensive values of alternatives assigned to a given class or class range. The exploitation of all value functions compatible with these preferences results in three types of results: (1) necessary and possible assignments, (2) extreme class cardinalities, and (3) necessary and possible assignment-based preference relations. These outputs correspond to different types of admitted preference information. By exhibiting different outcomes, we encourage the DM in various ways to enrich her/his preference information interactively. The applicability of the framework is demonstrated on data involving the classification of cities into liveability classes.