@article{Akakatshi Ossako_Walo Omana_Bopili Mbotia_Kitombole Tshovu_2023, place={Arau, Malaysia}, title={Decomposition of A Fuzzy Function By One-Dimensional Fuzzy Multiresolution Analysis}, volume={8}, url={https://jcrinn.com/index.php/jcrinn/article/view/336}, DOI={10.24191/jcrinn.v8i1.336}, abstractNote={<p><em>Signal compression and data compression are techniques for storing and transmitting signals using fewer bits as possible for encoding a complete signal. A good signal compression scheme requires a good signal decomposition scheme. The decomposition of the signal can be done as follows: The signal is split into a low-resolution part, described by a smaller number of samples than the original signal, and a signal difference, which describes the difference between the low-resolution signal and the real coded signal. Our paper deals with the proofs of these properties in a fuzzy environment. The proof of one- dimensional multiresolution analysis is given. The concept of fuzzy wavelets is introduced and as a byproduct a special fuzzy space of details of a signal is given and an orthonormal basis of </em><em>F</em><em>decomposing the fuzzy signal is obtained. </em></p>}, number={1}, journal={Journal of Computing Research and Innovation}, author={Akakatshi Ossako, Jean-louis and Walo Omana, Rebecca and Bopili Mbotia, Richard and Kitombole Tshovu, Antoine}, year={2023}, month={Feb.}, pages={84–96} }