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This paper first introduces the notion of representativeness system (RS) in order to capture the essential aspects of different systems in which a set of sources or representatives are intended to represent or provide a service to a given set of objects. The paper focuses on formally elaborating the notion of coverage indexes as mathematical tools to study and assess the quality of representativeness systems, defining different subfamilies of this type of indexes as well as providing a construction method for them. The practicality of these indexes is briefly illustrated in the context of cluster quality assessment, highlighting some promising features.

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Measuring Representativeness Through Coverage Degrees and Indexes

  • 会议论文

  • 发表日期：

    2025年

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  • Inmaculada Gutiérrez,
  • J. Tinguaro Rodríguez,
  • Xabier González,
  • Daniel Gómez,
  • Javier Montero,
  • Humberto Bustince

摘要

This paper first introduces the notion of representativeness system (RS) in order to capture the essential aspects of different systems in which a set of sources or representatives are intended to represent or provide a service to a given set of objects. The paper focuses on formally elaborating the notion of coverage indexes as mathematical tools to study and assess the quality of representativeness systems, defining different subfamilies of this type of indexes as well as providing a construction method for them. The practicality of these indexes is briefly illustrated in the context of cluster quality assessment, highlighting some promising features.