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Publikační činnost
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Record type:
kapitola v odborné knize (C)
Home Department:
Ústav pro výzkum a aplikace fuzzy modelování (94410)
Title:
From Classical to Fuzzy Type Theory
Citace
Novák, V. From Classical to Fuzzy Type Theory.
In:
The Life and Work of Leon Henkin.
Basel: Birkhauser, 2014. s. 225-248. ISBN 978-3-319-09719-0.
Subtitle
Publication year:
2014
Obor:
Obecná matematika
Form of publication:
Tištená verze
ISBN code:
978-3-319-09719-0
Book title in original language:
The Life and Work of Leon Henkin
Title of the edition and volume number:
Neuveden
Place of publishing:
Basel
Publisher name:
Birkhauser
Issue reference (issue number):
:
Published:
v zahraničí
Author of the source document:
Number of pages:
24
Book page count:
351
Page from:
225
Page to:
248
Book print run:
400
EID:
Key words in English:
Fuzzy type theory; EQ-algebra; residuated lattice; IMTL-algebra; MV-algebra; higher-order fuzzy logic; mathematical fuzzy logic; Delta-operation
Annotation in original language:
This paper addresses several complete formal systems of the fuzzy type theory. The systems differ from each other by a chosen algebra of truth values. Namely, we focus on three systems: the Core FTT based on a special algebra of truth values for fuzzy type theory --- the EQ-algebra, then IMTL-FTT based on \imtD-algebra of truth values and finally the \LFTT\ based on MV$_{\Delta}$-algebra of truth values.
Annotation in english language:
References
Reference
R01:
RIV/61988987:17610/14:A1501BYB
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