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The Choquet integral with respect to a symmetric capacity results in aggregation equivalent to the ordered weighted averaging (OWA) operator. The use of the OWA in research and practical applications is extensive, and so in this chapter we focus on important results and properties relating to OWA functions. Special extensions such as the weighted OWA and induced OWA (WOWA and IOWA) are presented, as well as useful methods for learning weights from data.

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Symmetric Capacities: OWA

  • 章节

  • 发表日期：

    2026年

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  • Gleb Beliakov,
  • Simon James,
  • Jianzhang Wu

摘要

The Choquet integral with respect to a symmetric capacity results in aggregation equivalent to the ordered weighted averaging (OWA) operator. The use of the OWA in research and practical applications is extensive, and so in this chapter we focus on important results and properties relating to OWA functions. Special extensions such as the weighted OWA and induced OWA (WOWA and IOWA) are presented, as well as useful methods for learning weights from data.