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Explaining Multi-Criteria Decision Aiding Models with an Extended Shapley Value

机译:解释具有扩展福利价值的多标准决策辅助模型

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The capability to explain the result of aggregation models to decision makers is key to reinforcing user trust. In practice. Multi-Criteria Decision Aiding models are often organized in a hierarchical way, based on a tree of criteria. We present an explanation approach usable with any hierarchical multi-criteria model, based on an influence index of each attribute on the decision. A set of desirable axioms are defined. We show that there is a unique index fulfilling these axioms. This new index is an extension of the Shapley value on trees. An efficient rewriting of this index, drastically reducing the computation time, is obtained. Finally, the use of the new index is illustrated on an example.
机译:解释聚集模型与决策者的结果的能力是加强用户信任的关键。在实践中。基于标准的树,通常以分层方式组织多标准决策型号。我们提出了一种可用于任何分层多标准模型的解释方法,基于决策中每个属性的影响指数。定义了一组理想的公理。我们展示了满足这些公理的独特指标。这个新索引是树木上的福利价值的延伸。获得了对该索引的有效重写,从而大大减少计算时间。最后,在示例上示出了新索引的使用。

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