On Solvability Degree of Systems of Partial Fuzzy Relational Equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F24%3AA2502NM4" target="_blank" >RIV/61988987:17610/24:A2502NM4 - isvavai.cz</a>
Result on the web
<a href="https://ieeexplore.ieee.org/document/10612055" target="_blank" >https://ieeexplore.ieee.org/document/10612055</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/FUZZ-IEEE60900.2024.10612055" target="_blank" >10.1109/FUZZ-IEEE60900.2024.10612055</a>

Result language
angličtina
Original language name
On Solvability Degree of Systems of Partial Fuzzy Relational Equations
Original language description
Systems of partial fuzzy relational equations employing undefined values in the antecedents and consequents have been approached recently. The primary focus was on the issues of sufficient solvability and solvability criteria. This study introduces another perspective, investigating the behavior of solvability degrees of these systems. We employ operations from the Lower estimation and Dragonfly partial algebras developed in the partial fuzzy set theory framework. Initially, we establish a degree of solvability in an appropriate space of approximations containing potential solutions for the systems. Subsequently, we introduce the concept of the alpha-lift for a given partial fuzzy set and provide its fundamental properties. This concept is employed to modify the antecedents and consequents of a given system of partial fuzzy relational equations, resulting in a modified system. The solvability degree of this modified system is then studied, and we demonstrate that, under sufficient conditions, it significantly enhances the solvability degree of the initial system. This positive impact is observed in the G"{o}del algebra, the underlying algebraic structure of partial algebras. In conclusion, we provide illustrative examples that effectively demonstrate the theoretical results.
Czech name
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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
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
2024 International Conference on Fuzzy Systems (FUZZ)
ISBN
979-835031954-5
ISSN
1098-7584
e-ISSN
1558-4739
Number of pages
7
Pages from-to
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Publisher name
IEEE
Place of publication
—
Event location
Yokohama, Japan
Event date
Jan 1, 2024
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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