On Tarski's Type Theorems for L-Fuzzy Isotone and L-Fuzzy Relatively Isotone Maps on L-Complete Propelattices
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F16%3A43875324" target="_blank" >RIV/70883521:28140/16:43875324 - isvavai.cz</a>
Result on the web
<a href="http://scholar.waset.org/1999.7/10005160" target="_blank" >http://scholar.waset.org/1999.7/10005160</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On Tarski's Type Theorems for L-Fuzzy Isotone and L-Fuzzy Relatively Isotone Maps on L-Complete Propelattices
Original language description
Recently a new type of very general relational structures, the so called (L-)complete propelattices, was introduced. These significantly generalize complete lattices and completely lattice L-ordered sets, because they do not assume the technically very strong property of transitivity. For these structures also the main part of the original Tarski's fixed point theorem holds for (L-fuzzy) isotone maps, i.e., the part which concerns the existence of fixed points and the structure of their set. In this paper, fundamental properties of (L-)complete propelattices are recalled and the so called L-fuzzy relatively isotone maps are introduced. For these maps it is proved that they also have fixed points in L-complete propelattices, even if their set does not have to be of an awaited analogous structure of a complete propelattice.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
V - Vyzkumna aktivita podporovana z jinych verejnych zdroju
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Mathematical, Computational, Physical, Electrical nad Computer
ISSN
2010-3778
e-ISSN
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Volume of the periodical
10
Issue of the periodical within the volume
3
Country of publishing house
TR - TURKEY
Number of pages
8
Pages from-to
143 - 150
UT code for WoS article
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EID of the result in the Scopus database
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