On fuzzification of Tarski's fixed point theorem without transitivity

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F17%3A63516848" target="_blank" >RIV/70883521:28140/17:63516848 - isvavai.cz</a>

Result on the web

<a href="http://www.sciencedirect.com/science/article/pii/S0165011416302111" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0165011416302111</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.fss.2016.06.016" target="_blank" >10.1016/j.fss.2016.06.016</a>

Result language

angličtina

Original language name

On fuzzification of Tarski's fixed point theorem without transitivity

Original language description

The article deals with a fuzzification of Tarski&apos;s fixed point theorem without the assumption of transitivity. Our attention is devoted to the influence of the absence of transitivity. We show that under the assumption of completeness, which is still irreplaceable, the main part of the original Tarski&apos;s theorem, which concerns nonemptiness and the structure of the set of fixed points, keeps holding. The fuzzification involves only notions already known from literature.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Publication year

2017

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

—

Volume of the periodical

2017

Issue of the periodical within the volume

320

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

21

Pages from-to

93-113

UT code for WoS article

000402481900007

EID of the result in the Scopus database

2-s2.0-84977177759