Hierarchical similarity-based approximate reasoning with restricted equivalence function

Dechao Li; Yuhui Zhu

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arXiv · 2605.00048

Hierarchical similarity-based approximate reasoning with restricted equivalence function

Dechao Li·Yuhui Zhu

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Abstract

Given that the restricted equivalence functions (REFs) can serve to measure the similarity of two fuzzy sets, this motivates the integration of REFs with similarity-based approximate reasoning systems to enhance inference capabilities. Therefore, this work primarily constructs hierarchical similarity-based approximate reasoning (SBAR) using REFs. Specifically, we first characterize REFs with a given aggregation function, then discuss the approximation equality of SBAR method proposed by Raha et al. with REFs. Finally, we suggest two REF-based hierarchical Raha's SBAR methods which efficiently restrain the explosion of fuzzy rules.

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BibTeX RIS

Dechao Li, Yuhui Zhu. 2026-04-29. Hierarchical similarity-based approximate reasoning with restricted equivalence function. https://arxiv.org/abs/2605.00048

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