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Record type:	kapitola v odborné knize (C)
Home Department:	Ústav pro výzkum a aplikace fuzzy modelování (94410)
Title:	Set theory and arithmetic in fuzzy logic
Citace	Běhounek, L. a Haniková, Z. Set theory and arithmetic in fuzzy logic. In: Petr Hájek on Mathematical Fuzzy Logic. 1. vyd. Springer, 2014. s. 63-89. Trends in Logic 6. ISBN 978-3-319-06232-7.

Subtitle
Publication year:	2014
Obor:	Obecná matematika
Form of publication:	Tištená verze
ISBN code:	978-3-319-06232-7
Book title in original language:	Petr Hájek on Mathematical Fuzzy Logic
Title of the edition and volume number:	Trends in Logic 6
Place of publishing:	neuvedeno
Publisher name:	Springer
Issue reference (issue number):	1:
Published:	v zahraničí
Author of the source document:
Number of pages:	27
Book page count:	318
Page from:	63
Page to:	89
Book print run:
EID:

Key words in English:	fuzzy set theory, fuzzy logic, naive comprehension, non-classical arithmetic
Annotation in original language:	This paper offers a review of Petr Hájek's contributions to first-order axiomatic theories in fuzzy logic (in particular, ZF-style fuzzy set theories, arithmetic with a fuzzy truth predicate, and fuzzy set theory with unrestricted comprehension schema). Generalizations of Hajek's results in these areas to MTL as the background logic are presented and discussed.
Annotation in english language:

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