Partial Fuzzy Relational Equations and the Dragonfly Operations – What Happens If...?
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F23%3AA2402L5P" target="_blank" >RIV/61988987:17610/23:A2402L5P - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/chapter/10.1007/978-3-031-39965-7_7" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-031-39965-7_7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-39965-7_7" target="_blank" >10.1007/978-3-031-39965-7_7</a>
Alternative languages
Result language
angličtina
Original language name
Partial Fuzzy Relational Equations and the Dragonfly Operations – What Happens If...?
Original language description
The article focuses on a problem that naturally comes to an interest by joining two classical topics, namely the solvability of systems of fuzzy relational equations, and the partiality as a tool for modeling undefined values. As the first topic basically formally investigates the correctness of fuzzy rule-based systems by the investigation of the preservation of modus ponens, the other one allows dealing in an elegant algebraic way with distinct undefined values, in the particular case of the Dragonfly algebra, the focus is on missing values, their connection is straightforward. Indeed, dealing with missing values is rather omnipresent, and distinct expert rule-based systems are not immune to it so, such an investigation is highly desirable. What is not so straightforward are the results ensuring the solvability of such systems, i.e., the existence of safe models of the rules. Some previous results have been published and they relied on restrictions on the algebraic level. This article brings a new insight and investigates, what happens if we refuse to accept such a restriction. The answer is interesting as restricting the choice of the algebra does not seem to be critical but it imposes some restrictions on the sides of the consequents. Luckily, these restrictions are not so critical and restrictive from the application point of view.
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
10100 - Mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Lecture Notes in Computer Science (vol 14069), Fuzzy Logic and Technology, and Aggregation Operators
ISBN
978-3-031-39964-0
ISSN
0302-9743
e-ISSN
1611-3349
Number of pages
10
Pages from-to
74-85
Publisher name
Springer
Place of publication
Cham
Event location
Palma de Mallorca
Event date
Jan 1, 2023
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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