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Applying Answer Set Programming with Fuzzy Membership Functions: a Case Study

Researchers propose a fuzzy-logic extension of Answer Set Programming (ASP) to bridge numerical data and qualitative reasoning, using learning-based membership functions and semantically enriched predicates. The framework integrates machine learning outputs with symbolic reasoning, avoiding rigid thresholds and supporting robust reasoning under vagueness.

read1 min views1 publishedJul 7, 2026

arXiv:2607.03550v1 Announce Type: new Abstract: Human reasoning often operates through qualitative concepts expressed by linguistic labels such as high, low, expensive, or cheap, whose interpretation depends on context and is usually vague, despite being rooted in numerical data. This paper explores a novel fuzzy-logic-based qualitative extension of Answer Set Programming (ASP) to bridge numerical information and qualitative reasoning. The underlying language, formally introduced in a separate work, provides a principled framework that avoids rigid thresholds and supports robust reasoning under vagueness. Focusing on a representative use case, we illustrate how the framework integrates numerically grounded inputs (such as outputs of machine learning models) with symbolic reasoning over qualitative labels. Key features, including learning-based membership functions and semantically enriched predicates, enable the combination of expert knowledge, contextual factors, and subjective interpretations within a unified declarative setting.

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