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Typ záznamu:
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Domácí pracoviště:
Ústav pro výzkum a aplikace fuzzy modelování (94410)
Název:
Partial Fuzzy Relational Equations and the Dragonfly Operations – What Happens If...?
Citace
Cao, T. H. N. a Štěpnička, M. Partial Fuzzy Relational Equations and the Dragonfly Operations – What Happens If...?.
In:
EUSFLAT AGOP 2023: Lecture Notes in Computer Science (vol 14069), Fuzzy Logic and Technology, and Aggregation Operators 2023 Palma de Mallorca.
Cham: Springer, 2023. s. 74-85. ISBN 978-3-031-39964-0.
Podnázev
Rok vydání:
2023
Obor:
Obecná matematika
Počet stran:
10
Strana od:
74
Strana do:
85
Forma vydání:
Tištená verze
Kód ISBN:
978-3-031-39964-0
Kód ISSN:
0302-9743
Název sborníku:
Lecture Notes in Computer Science (vol 14069), Fuzzy Logic and Technology, and Aggregation Operators
Sborník:
Mezinárodní
Název nakladatele:
Springer
Místo vydání:
Cham
Stát vydání:
Sborník vydaný v zahraničí
Název konference:
EUSFLAT AGOP 2023
Místo konání konference:
Palma de Mallorca
Datum zahájení konference:
Typ akce podle státní
příslušnosti účastníků akce:
Celosvětová akce
Kód UT WoS:
EID:
Klíčová slova anglicky:
Fuzzy relational equations; Partial Fuzzy Set Theory; Dragonfly Algebra
Popis 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.
Popis v anglickém 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.
Seznam ohlasů
Ohlas
R01:
RIV/61988987:17610/23:A2402L5P
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