Lattice-valued F-transform as interior operators of 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%2F18%3AA1901VUW" target="_blank" >RIV/61988987:17610/18:A1901VUW - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-319-91476-3_14" target="_blank" >http://dx.doi.org/10.1007/978-3-319-91476-3_14</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-91476-3_14" target="_blank" >10.1007/978-3-319-91476-3_14</a>
Alternative languages
Result language
angličtina
Original language name
Lattice-valued F-transform as interior operators of L-fuzzy pretopological spaces
Original language description
The focus is on two spaces with a weaker structure than that of a fuzzy topology. The first one is a fuzzy pretopological space, and the second one is a space with an L-fuzzy partition. For a fuzzy pretopological space, we prove that it can be determined by a Čech interior operator and that the latter can be represented by a reflexive fuzzy relation. For a space with an L-fuzzy partition, we show that a lattice-valued F down arrow-transform is a strong Čech-Alexandrov fuzzy interior operator. Conversely, we found conditions that guarantee that a givenL-fuzzy pretopology determines the L-fuzzy partition and the corresponding F down arrow-transform operator.
Czech name
—
Czech description
—
Classification
Type
D - Article in proceedings
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations. IPMU 2018. Communications in Computer and Information Science
ISBN
978-3-319-91478-7
ISSN
—
e-ISSN
—
Number of pages
12
Pages from-to
163-174
Publisher name
Springer
Place of publication
Heidelberg
Event location
Cádiz
Event date
Jan 1, 2018
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
—