The Suitability of Upper Boundary Algebra for Solving Partial Fuzzy Relational Equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F25%3AA2602NZQ" target="_blank" >RIV/61988987:17610/25:A2602NZQ - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/chapter/10.1007/978-3-031-73997-2_22" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-031-73997-2_22</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-73997-2_22" target="_blank" >10.1007/978-3-031-73997-2_22</a>

Result language
angličtina
Original language name
The Suitability of Upper Boundary Algebra for Solving Partial Fuzzy Relational Equations
Original language description
Three-valued logics became a classical topic for logicians and not surprisingly, they were extended to partial fuzzy logics that allow modeling distinct types of undefined truth-values, i.e., values, that are neither true nor false, even in the graded sense. Such logics and related algebras may model reasoning with non-denoting terms, missing or unknown values, and other interesting cases. However, in order to be able to model real cases, the algebraic models need to be mirrored in applied tools such as inference systems. Therefore, the investigation of partial fuzzy relational equations that question the most natural property of such systems is a straightforward step. This step has been already made, however, satisfactory results were obtained only for the direct product inference (compositional rule of inference). Intuitively, this was due to the application of partial algebras that employ the so-called lower boundary strategy. This article introduces upper boundary algebraic strategy and shows, that equally satisfactory results may be obtained also for the Bandler-Kohout subproduct.
Czech name
—
Czech description
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Project
<a href="/en/project/EH22_008%2F0004583" target="_blank" >EH22_008/0004583: Research of Excellence on Digital Technologies and Wellbeing</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2024. Lecture Notes in Networks and Systems, vol. 1176.
ISBN
978-3-031-73997-2
ISSN
2367-3370
e-ISSN
2367-3389
Number of pages
12
Pages from-to
254-265
Publisher name
Springer
Place of publication
Cham
Event location
Lisabon
Event date
Jul 22, 2024
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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