Some results on L-complete lattices
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F16%3A33161641" target="_blank" >RIV/61989592:15310/16:33161641 - 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
Some results on L-complete lattices
Original language description
The paper deals with special types of L-ordered sets, L-fuzzy complete lattices, and fuzzy directed complete posets. First, a theorem for constructing monotone maps is proved, a characterization for monotone maps on an L-fuzzy complete lattice is obtained, and it's proved that if f is a monotone map on an L-fuzzy complete lattice (P; e), then the least fixpoint of f is meet of a special element of LP. A relation between L-fuzzy complete lattices and fixpoints is found and fuzzy versions of monotonicity, rolling, fusion and exchange rules on L-complete lattices are stated. Finally, we investigate the set of all monotone maps on a fuzzy directed complete posets, DCPOs, and find a condition which under the set of all fixpoints of a monotone map on a fuzzy DCPO is a fuzzy DCPO.
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
S - Specificky vyzkum na vysokych skolach
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
Iranian Journal of Fuzzy Systems
ISSN
1735-0654
e-ISSN
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Volume of the periodical
13
Issue of the periodical within the volume
6
Country of publishing house
IR - IRAN, ISLAMIC REPUBLIC OF
Number of pages
8
Pages from-to
135-152
UT code for WoS article
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EID of the result in the Scopus database
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