EconPapers    
Economics at your fingertips  
 

Correctness of Fuzzy Inference Systems Based on f -Inclusion

Carolina Díaz-Montarroso, Nicolás Madrid () and Eloísa Ramírez-Poussa
Additional contact information
Carolina Díaz-Montarroso: Department of Mathematics, University of Cádiz. C. Republica Saharaui, 11510 Puerto Real, Spain
Nicolás Madrid: Department of Mathematics, University of Cádiz. C. Republica Saharaui, 11510 Puerto Real, Spain
Eloísa Ramírez-Poussa: Department of Mathematics, University of Cádiz. C. Republica Saharaui, 11510 Puerto Real, Spain

Mathematics, 2025, vol. 13, issue 11, 1-35

Abstract: Recent work has shown that the f -index of inclusion can serve as a foundation for modeling Generalized Modus Ponens. In this paper, we develop a novel fuzzy inference system based on this inference rule. To establish its soundness, we connect it to a Fuzzy Description Logic LU enriched with fuzzy modifiers (also known as fuzzy hedges). This logic background provides to the approach a strength absent in most fuzzy inference systems in the literature, which allows us to formally prove a series of results that culminate in a final correctness theorem for the proposed fuzzy inference system. This paper also presents a running example aimed at showing the potential applicability of the proposal.

Keywords: fuzzy logic; f-index of inclusion; fuzzy inference system; fuzzy description logic; inclusion measures (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/11/1897/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/11/1897/ (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:13:y:2025:i:11:p:1897-:d:1672787

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 ().

 
Page updated 2025-06-06
Handle: RePEc:gam:jmathe:v:13:y:2025:i:11:p:1897-:d:1672787