O důležitosti fuzzy atributových implikací

Kód výsledku v IS VaVaI

RIV/61989592:15310/08:00005461 - isvavai.cz

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

On the importance of fuzzy attribute implications

Popis výsledku v původním jazyce

Our paper deals with the expressive power of fuzzy attribute implications which are if-then rules describing dependencies among graded attributes. In our previous work, we have shown that fuzzy attribute implications are important in data mining becausethey can be used as a concise description of all if-then dependencies which are hidden in object-attribute fuzzy relational data. Fuzzy attribute implications can be seen as formulas (in the narrow sense) of the form $boldsymbol{A Rightarrow B}$ whereboth $boldsymbol{A}$ and $boldsymbol{B}$ are conjunctions of subformulas containing constants for truth degrees acting as (constants for) threshold truth degrees. This paper investigates possibility to replace sets of fuzzy attribute implications withfuzzy sets of ordinary if-then formulas in the sense of Pavelka's abstract logic. We reveal the impossibility to replace fuzzy attribute implications by the ordinary formulas without losing their expressive power. From the technical point

Název v anglickém jazyce

On the importance of fuzzy attribute implications

Popis výsledku anglicky

Our paper deals with the expressive power of fuzzy attribute implications which are if-then rules describing dependencies among graded attributes. In our previous work, we have shown that fuzzy attribute implications are important in data mining becausethey can be used as a concise description of all if-then dependencies which are hidden in object-attribute fuzzy relational data. Fuzzy attribute implications can be seen as formulas (in the narrow sense) of the form $boldsymbol{A Rightarrow B}$ whereboth $boldsymbol{A}$ and $boldsymbol{B}$ are conjunctions of subformulas containing constants for truth degrees acting as (constants for) threshold truth degrees. This paper investigates possibility to replace sets of fuzzy attribute implications withfuzzy sets of ordinary if-then formulas in the sense of Pavelka's abstract logic. We reveal the impossibility to replace fuzzy attribute implications by the ordinary formulas without losing their expressive power. From the technical point

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BD - Teorie informace

OECD FORD obor

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Projekt

1ET101370417: Hierarchická analýza složitých dat

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2008

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Proceedings of I E E E International Fuzzy Systems Conference

ISSN

1544-5615

e-ISSN

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Svazek periodika

1

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

6

Strana od-do

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Kód UT WoS článku

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EID výsledku v databázi Scopus

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