@article{fdi:010070532,
  title = {{F}uzzy uncertainty representations of coseismic displacement measurements issued from sar imagery},
  author = {{Y}an, {Y}. {J}. and {M}auris, {G}. and {T}rouv{\'e}, {E}. and {P}inel, {V}irginie},
  editor = {},
  language = {{ENG}},
  abstract = {{A}n emerging way to reduce the geodetic parameter uncertainty is to combine the large numbers of data provided by satellite synthetic aperture radar ({SAR}) images. {H}owever, the measurements by radar imagery are subject to both random and systematic uncertainties. {T}hus, mathematical theories that are adequate for each type of uncertainty representation and handling have to be selected. {P}robability theory is known as the adequate theory for uncertainties corresponding to random variables, but questionable for systematic uncertainties, arising from information incompleteness. {F}uzzy theory, being a generalization of interval mathematics, is more adapted to such uncertainty. {M}oreover, it provides a bridge with probability theory by its ability to represent a family of probability distributions. {T}herefore, we consider here the conventional probability and the fuzzy approaches for handling the random and systematic uncertainties of displacement measurements derived from differential {SAR} interferometry ({D}-{I}n{SAR}) and {SAR} amplitude image correlation. {T}he applications are performed on the measurement of the displacement field due to the 2005 {K}ashmir earthquake. {T}he fuzzy approach, being free from distribution and independence hypotheses, gives the most pessimistic uncertainty assessment, while the conventional probability approach gives the most optimistic uncertainty assessment. {A}s confirmed by the {M}onte {C}arlo simulation applied to an earth deformation model, the actual uncertainty should be situated between the fuzzy and conventional uncertainties.},
  keywords = {{C}oseismic observations ; fuzzy/possibility theory ; ground displacement ; measurement uncertainty ; remote sensing ; synthetic aperture radar ({SAR}) ; images},
  booktitle = {},
  journal = {{IEEE} {T}ransactions on {I}nstrumentation and {M}easurement},
  volume = {61},
  numero = {5},
  pages = {1278--1286},
  ISSN = {0018-9456},
  year = {2012},
  DOI = {10.1109/tim.2011.2175825},
  URL = {https://www.documentation.ird.fr/hor/fdi:010070532},
}