Probabilistic representation of spatial fuzzy sets

0563137 - ÚTIA 2023 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Soukup, Lubomír
Probabilistic representation of spatial fuzzy sets.
Proceedings of the 12th Workshop on Uncertainty Processing. Prague: MatfyzPress, 2022 - (Studený, M.; Ay, N.; Coletti, G.; Kleiter, G.; Shenoy, P.), s. 196-205. ISBN 978-80-7378-460-7.
[WUPES 2022: 12th Workshop on Uncertainty Processing. Kutná Hora (CZ), 01.06.2022-04.06.2022]
Institucionální podpora: RVO:67985556
Klíčová slova: fuzzy set theory * probability theory * uncertainty * geographic information system
Obor OECD: Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
http://library.utia.cas.cz/separaty/2022/ZOI/soukup-0563137.pdf

Membership function of a given fuzzy set is expressed by probability that a point belongs in the fuzzy set. Such a membership function is derived from probability distribution of points on the boundary of the fuzzy set. Polygonal boundary is considered. Spatial operations (conjunction, disjunction, complement) are defined accordingly. Several application areas are mentioned, namely classification of land cover, cadastral mapping, material quality analysis, interferometric monitoring of bridges.
Trvalý link: https://hdl.handle.net/11104/0336400