Partial Fuzzy Relational Equations and the Dragonfly Operations – What Happens If...?
Identifikátory výsledku
Kód výsledku v 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>
Výsledek na webu
<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>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Partial Fuzzy Relational Equations and the Dragonfly Operations – What Happens If...?
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
Partial Fuzzy Relational Equations and the Dragonfly Operations – What Happens If...?
Popis výsledku anglicky
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.
Klasifikace
Druh
D - Stať ve sborníku
CEP obor
—
OECD FORD obor
10100 - Mathematics
Návaznosti výsledku
Projekt
—
Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Ostatní
Rok uplatnění
2023
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název statě ve sborníku
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
Počet stran výsledku
10
Strana od-do
74-85
Název nakladatele
Springer
Místo vydání
Cham
Místo konání akce
Palma de Mallorca
Datum konání akce
1. 1. 2023
Typ akce podle státní příslušnosti
WRD - Celosvětová akce
Kód UT WoS článku
—