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Record type:	stať ve sborníku (D)
Home Department:	Ústav pro výzkum a aplikace fuzzy modelování (94410)
Title:	Lattice-valued F-transform as interior operators of L-fuzzy pretopological spaces
Citace	Perfiljeva, I., Tiwari, S. P. a Singh, A. P. Lattice-valued F-transform as interior operators of L-fuzzy pretopological spaces. In: IPMU 2018: Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations. IPMU 2018. Communications in Computer and Information Science 2018 Cádiz. Heidelberg: Springer, 2018. s. 163-174. ISBN 978-3-319-91478-7.

Subtitle
Publication year:	2018
Obor:	Obecná matematika
Number of pages:	12
Page from:	163
Page to:	174
Form of publication:	Tištená verze
ISBN code:	978-3-319-91478-7
ISSN code:
Proceedings title:	Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations. IPMU 2018. Communications in Computer and Information Science
Proceedings:
Publisher name:	Springer
Place of publishing:	Heidelberg
Country of Publication:
Název konference:	IPMU 2018
Conference venue:	Cádiz
Datum zahájení konference:
Typ akce podle státní příslušnosti účastníků:	Celosvětová akce
WoS code:
EID:

Key words in English:	Lattice F-transform, Fuzzy pretopological space, Fuzzy partition, Čech fuzzy interior operator
Annotation in original language:	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.
Annotation in english language:	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?-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?-transform operator.

References

Reference

R01:	RIV/61988987:17610/18:A1901VUW

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