A Set Theory within Fuzzy Logic.
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F01%3A06010099" target="_blank" >RIV/67985807:_____/01:06010099 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
A Set Theory within Fuzzy Logic.
Original language description
This paper proposes a possibility of developing an axiomatic set theory, as first-order theory within the framework of fuzzy logic in the style Hajek's book. In classical ZFC, we use an analogy of the construction of a Boolean-valued universe - over a particular algebra of truth values - to show the nontriviality of our theory.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/IAA1030004" target="_blank" >IAA1030004: Mathematical foundations of inference under vagueness and uncertainty</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2001
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Multiple-Valued Logic. Proceedings.
ISBN
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ISSN
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e-ISSN
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Number of pages
5
Pages from-to
319-323
Publisher name
IEEE Computer Society
Place of publication
Los Alamitos
Event location
Warsaw [PL]
Event date
May 22, 2001
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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