@incollection{fdi:010051988, title = {{F}uzzy vs probability uncertainty analysis of seismic displacement measurements issued from {D}-{I}n{SAR} and {SAR} image correlation measurements : application to the {K}ashmir earthquake (2005)}, author = {{Y}an, {Y}. and {T}rouv{\'e}, {E}. and {M}auris, {G}. 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 radar images. {H}owever, the measurements by radar images are subjected both to random and epistemic uncertainties. {T}hus, mathematical theories which 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 epistemic uncertainties, arising from information incompleteness. {F}uzzy theory being a generalization of interval mathematics, it 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 epistemic uncertainties of {D}-{I}n{SAR} and {SAR} correlation measurements. {T}he applications are performed on the measurement of displacement field due to the {K}ashmir earthquake (2005).}, keywords = {{SEISME} ; {IMAGE} {SATELLITE} ; {RADAR} {A} {ANTENNE} {SYNTHETIQUE} ; {ANALYSE} {DE} {DONNEES} ; {PROBABILITE} ; {THEORIE} {DES} {ENSEMBLES} {FLOUS} ; {PAKISTAN} ; {CACHEMIRE}}, booktitle = {{IEEE} {I}nstrumentation and {M}easurement {T}echnology {C}onference( ({I}2{MTC})}, numero = {}, pages = {114--118}, address = {{N}ew {Y}ork}, publisher = {{IEEE}}, series = {}, year = {2011}, DOI = {10.1109/{IMTC}.2011.5944254}, ISBN = {978-1-4244-7935-1}, URL = {https://www.documentation.ird.fr/hor/fdi:010051988}, }