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This paper summarizes the contribution of the late Michio Sugeno to non-additive integrals. Moreover, based on the existence of a natural interpretation of Sugeno integral as a set of fuzzy rules involving thresholds, it proposes preliminary results on the possibility of interpreting the bipolar fuzzy integral in terms of if-then rules.

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Fuzzy Integrals and If Then Rules: The Bipolar Case

  • 会议论文

  • 发表日期：

    2025年

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  • Didier Dubois,
  • Henri Prade,
  • Agnès Rico

摘要

This paper summarizes the contribution of the late Michio Sugeno to non-additive integrals. Moreover, based on the existence of a natural interpretation of Sugeno integral as a set of fuzzy rules involving thresholds, it proposes preliminary results on the possibility of interpreting the bipolar fuzzy integral in terms of if-then rules.