Decomposition of a fuzzy function by one-dimensional fuzzy multiresolution analysis / Jean-louis Akakatshi Ossako ... [et al.]

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...

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Bibliographic Details
Main Authors: Jean-louis, Akakatshi Ossako (Author), Rebecca, Walo Omana (Author), Richard, Bopili Mbotia (Author), Antoine, Kitombole Tshovu (Author)
Format: Book
Published: UiTM Cawangan Perlis, 2023-11.
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100 1 0 |a Jean-louis, Akakatshi Ossako  |e author 
700 1 0 |a Rebecca, Walo Omana  |e author 
700 1 0 |a Richard, Bopili Mbotia  |e author 
700 1 0 |a Antoine, Kitombole Tshovu  |e author 
245 0 0 |a Decomposition of a fuzzy function by one-dimensional fuzzy multiresolution analysis / Jean-louis Akakatshi Ossako ... [et al.] 
260 |b UiTM Cawangan Perlis,   |c 2023-11. 
500 |a https://ir.uitm.edu.my/id/eprint/59790/1/59790.pdf 
500 |a  Decomposition of a fuzzy function by one-dimensional fuzzy multiresolution analysis / Jean-louis Akakatshi Ossako ... [et al.]. (2023) Journal of Computing Research and Innovation (JCRINN) <https://ir.uitm.edu.my/view/publication/Journal_of_Computing_Research_and_Innovation_=28JCRINN=29/>, 8 (1): 7. pp. 84-96. ISSN 2600-8793  
520 |a 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 L2(0,1,(R),, F(R)) decomposing the fuzzy signal is obtained. 
546 |a en 
690 |a Fuzzy arithmetic 
655 7 |a Article  |2 local 
655 7 |a PeerReviewed  |2 local 
787 0 |n https://ir.uitm.edu.my/id/eprint/59790/ 
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787 0 |n https://doi.org/10.24191/jcrinn.v8i1.336 
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