Towards Dynamic Fuzzy Rule Interpolation via Density-Based Rule Promotion from Interpolated Outcomes

Jinle Lin, Changjing Shang () and Qiang Shen
Additional contact information
Jinle Lin: Department of Computer Science, Aberystwyth University, Aberystwyth SY23 3DB, UK
Changjing Shang: Department of Computer Science, Aberystwyth University, Aberystwyth SY23 3DB, UK
Qiang Shen: Department of Computer Science, Aberystwyth University, Aberystwyth SY23 3DB, UK

Mathematics, 2024, vol. 12, issue 3, 1-20

Abstract: Traditional fuzzy rule-based systems struggle with scenarios where knowledge gaps exist in the problem domain, due to limited data or experience. Fuzzy rule interpolation (FRI) effectively addresses the challenge of inference in fuzzy systems when faced with unmatched observations, due to the employment of an incomplete or sparse rule base. It generates temporary, interpolated rules for the unmatched observations, ensuring continued inference capability. However, the resultant valuable interpolated rules are conventionally discarded. This paper introduces a formal approach for dynamic fuzzy rule interpolation (D-FRI), based on the concept of density-based rule promotion and assisted by the use of the OPTICS clustering algorithm, through exploiting frequently appearing interpolated rules on the fly. This enhances the system’s knowledge coverage, efficiency, and robustness over time. An implementation of such a D-FRI system is presented, which combines transformation-based fuzzy rule interpolation (T-FRI) with OPTICS clustering. This offers an effective mechanism for evaluating and subsequently selecting potentially powerful interpolated rules for the system to dynamically enrich its knowledge base. The implemented system is verified by experimental investigations.

Keywords: fuzzy rule interpolation; dynamic rule interpolation; OPTICS clustering; density-based rule promotion (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/3/402/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/3/402/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:3:p:402-:d:1326925

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().