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This paper focuses on the use of fuzzy natural logic for analyzing scientific data and describing it in linguistic expression. The outcome consists of IF-THEN rules that utilize evaluative linguistic expressions, enabling the characterization of data using vague terms such as “very small”, “large”, “medium”, and so on. Therefore, we demonstrate that the theory of intermediate quantifiers (a component of fuzzy natural logic) can be applied to these outputs automatically, allowing for more natural linguistic summaries. In addition, we introduce the idea of using generalized Peterson’s logical syllogisms which relate to graded Peterson’s cube of opposition for more detailed data analysis.

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Linguistic Interpretation of Natural Data Using Intermediate Quantifiers Relate to Graded Cube of Opposition

  • 会议论文

  • 发表日期：

    2026年

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  • Petra Murinová,
  • Karel Fiala

摘要

This paper focuses on the use of fuzzy natural logic for analyzing scientific data and describing it in linguistic expression. The outcome consists of IF-THEN rules that utilize evaluative linguistic expressions, enabling the characterization of data using vague terms such as “very small”, “large”, “medium”, and so on. Therefore, we demonstrate that the theory of intermediate quantifiers (a component of fuzzy natural logic) can be applied to these outputs automatically, allowing for more natural linguistic summaries. In addition, we introduce the idea of using generalized Peterson’s logical syllogisms which relate to graded Peterson’s cube of opposition for more detailed data analysis.