On F-transforms, L-fuzzy partitions and L-fuzzy pretopological spaces
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F17%3AA1801PMU" target="_blank" >RIV/61988987:17610/17:A1801PMU - isvavai.cz</a>
Result on the web
<a href="http://www.ele.uri.edu/ieee-ssci2017/FOCI.htm" target="_blank" >http://www.ele.uri.edu/ieee-ssci2017/FOCI.htm</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On F-transforms, L-fuzzy partitions and L-fuzzy pretopological spaces
Original language description
In this paper, we discuss the relationship betweenthe direct lattice-based F-transform and L-fuzzy pretopology. The importance of fuzzy pretopological spaces follows from the fact that they are dense extensions of fuzzy topological spaces, and thecorresponding category contains both Top and the category PNeigh of probabilistic neighbourhood spaces. We show that every direct F#-transform uniquely determines an L-fuzzy pretopologyand discuss the opposite correspondence.In between, some categorical results have been established. Further, some new F-transform theoretic results are studied.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
2017 IEEE Symposium Series on Computational Intelligence (SSCI) Proceedings
ISBN
978-1-5386-2725-9
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
154-161
Publisher name
IEEE Serivice Center
Place of publication
Piscataway, USA
Event location
Honolulu, USA
Event date
Nov 27, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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