Fuzzy Attribute Implications and their Expressive Power

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F13%3A33148376" target="_blank" >RIV/61989592:15310/13:33148376 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1142/S0218488513500244" target="_blank" >http://dx.doi.org/10.1142/S0218488513500244</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0218488513500244" target="_blank" >10.1142/S0218488513500244</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Fuzzy Attribute Implications and their Expressive Power

Popis výsledku v původním jazyce

We deal with the expressive power of if-then rules called fuzzy attribute implications (FAIs) which can be seen as formulas A =} B where both A and B are conjunctions of subformulas containing propositional variables and constants for truth degrees and whose interpretation is parameterized by linguistic hedges. The formulas admit the following model-theoretical property: a system of fuzzy sets S is a fuzzy closure system satisfying an additional condition of being closed under a*-shifts (so-called L*-closure system) if and only if S is a system of models of a set of FAIs. In this paper, we point out the importance of constants of truth degrees in the antecedents of formulas by showing that simpler formulas are not sufficient to describe all L*-closuresystems. As a practical consequence, the simpler formulas cannot be used as an alternative description of concept lattices with linguistic hedges.

Název v anglickém jazyce

Fuzzy Attribute Implications and their Expressive Power

Popis výsledku anglicky

We deal with the expressive power of if-then rules called fuzzy attribute implications (FAIs) which can be seen as formulas A =} B where both A and B are conjunctions of subformulas containing propositional variables and constants for truth degrees and whose interpretation is parameterized by linguistic hedges. The formulas admit the following model-theoretical property: a system of fuzzy sets S is a fuzzy closure system satisfying an additional condition of being closed under a*-shifts (so-called L*-closure system) if and only if S is a system of models of a set of FAIs. In this paper, we point out the importance of constants of truth degrees in the antecedents of formulas by showing that simpler formulas are not sufficient to describe all L*-closuresystems. As a practical consequence, the simpler formulas cannot be used as an alternative description of concept lattices with linguistic hedges.

Druh

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

CEP obor

IN - Informatika

OECD FORD obor

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Projekt

<a href="/cs/project/GAP103%2F11%2F1456" target="_blank" >GAP103/11/1456: Základy pro zpracování dat s využitím podobností</a><br>

Návaznosti

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

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název periodika

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems

ISSN

0218-4885

e-ISSN

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Svazek periodika

21

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

14

Strana od-do

483-496

Kód UT WoS článku

000322959200001

EID výsledku v databázi Scopus

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