Sufficient Solvability Conditions for Systems of Partial Fuzzy Relational Equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F20%3AA21024CM" target="_blank" >RIV/61988987:17610/20:A21024CM - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/chapter/10.1007%2F978-3-030-50146-4_8" target="_blank" >https://link.springer.com/chapter/10.1007%2F978-3-030-50146-4_8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-50146-4_8" target="_blank" >10.1007/978-3-030-50146-4_8</a>
Alternative languages
Result language
angličtina
Original language name
Sufficient Solvability Conditions for Systems of Partial Fuzzy Relational Equations
Original language description
This paper focuses on searching sufficient conditions for the solvability of systems of partial fuzzy relational equations. In the case of solvable systems, we provide solutions of the systems. Two standard systems of fuzzy relational equations – namely the systems built on the basic composition and on the Bandler-Kohout subproduct – are considered under the assumption of partiality. Such an extension requires to employ partial algebras of operations for dealing with undefined values. In this investigation, we consider seven most-known algebras of undefined values in partial fuzzy set theory such as the Bochvar, Bochvar external, Soboci´nski, McCarthy, Nelson, Kleene, and the Lukasiewicz algebra. Conditions that are sufficient for the solvability of the systems are provided. The crucial role will be played by the so-called boundary condition.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA20-07851S" target="_blank" >GA20-07851S: Fuzzy relational structures in approximate reasoning</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Information Processing and Management of Uncertainty in Knowledge-Based Systems (Communications in Computer and Information Science series, vol. 1237)
ISBN
978-3-030-50145-7
ISSN
1865-0929
e-ISSN
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Number of pages
14
Pages from-to
93-106
Publisher name
Springer
Place of publication
Cham
Event location
Lisabon
Event date
Jan 1, 2020
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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