Normal forms in BL and LP algebras of functions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F04%3A00000004" target="_blank" >RIV/61988987:17610/04:00000004 - isvavai.cz</a>

Alternative codes found

RIV/61988987:17310/04:00000064

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Normal forms in BL and LP algebras of functions

Original language description

Three types of normal forms are introduced for fuzzy logic functions: disjunctive, conjunctive and additive. Disjunctive and conjunctive normal forms are considered in two variants: infinite and finite. It is proved that infinite normal forms are uni versal representation formulas whereas finite normal forms are universal approximation formulas for any $L$-valued function where $L$ is a support set of any complete BL-algebra. The additive normal form ``lies'' in the middle of the two others. F or all ofthem the estimation of the quality of approximation is suggested.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/IAA1187301" target="_blank" >IAA1187301: Theory of Fuzzy Functions and Their Representation</a><br>

Continuities

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

Publication year

2004

Confidentiality

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

Name of the periodical

Soft Computing

ISSN

1432-7643

e-ISSN

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Volume of the periodical

8

Issue of the periodical within the volume

?nor

Country of publishing house

DE - GERMANY

Number of pages

6

Pages from-to

228-233

UT code for WoS article

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EID of the result in the Scopus database

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