Normal Forms in BL-algebra of functions and their contribution to universal approximation

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F04%3A00000016" target="_blank" >RIV/61988987:17310/04:00000016 - isvavai.cz</a>

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-algebra of functions and their contribution to universal approximation

Original language description

This paper continues the investigation of approximating properties of generalized normal forms in fuzzy logic. The problem is formalized and solved algebraically. Normal forms are considered in two variants: infinite and finite. It is proved that inf inite normal forms are universal 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 estimation of the quality of approximati on is suggested. Moreover, functions which can be precisely represented by the discrete normal forms are considered.

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

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2004

Confidentiality

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

Name of the periodical

Fuzzy Sets and Systems

ISSN

0165-0114

e-ISSN

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Volume of the periodical

143

Issue of the periodical within the volume

Duben

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

17

Pages from-to

111-127

UT code for WoS article

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EID of the result in the Scopus database

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