The theory of capacities provides powerful formal methodology to account for criteria dependencies in multiple criteria decision problems. The discrete Choquet and Sugeno integrals aggregate criteria valuations accounting for criteria synergies and redundancies. We address an important problem of randomly generating capacities of special classes for simulation studies and for capacity learning through evolutionary algorithms. We discuss two efficient methods suitable for k-interactive capacities. The results are supported by the extensive numerical evidence and provide a useful tool for large scale simulations.

中文翻译：

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k-交互容量的随机生成

能力理论提供了强大的形式方法来解释多标准决策问题中的标准依赖关系。离散的 Choquet 和 Sugeno 积分汇总了标准估值，考虑了标准协同作用和冗余。我们解决了一个重要问题，即随机生成特殊类别的能力，用于模拟研究和通过进化算法进行能力学习。我们讨论了两种适用于k交互能力的有效方法。结果得到了广泛的数值证据的支持，并为大规模模拟提供了有用的工具。