IoT Devices Signals Processing based on Multi-dimensional Shepard Local Approximation Operators in Riesz MV-algebras
Keywords:IoT devices, signal processing, Shepard local approximation operators, local approximation operators, approximation algorithms, Riesz MV-algebras, vectorial MV-algebras
AbstractIn this article we continue the study started in  to use Riesz MValgebras for IoT devices signals processing. The Shepard local approximation operators introduced in  were defines such that to approximate single variable functions. In real industrial usage, the signals coming from IoT devices may be influenced by mode than a parameter, and thus we introduce generalized Shepard local approximation operators that can approximate multi-dimensional functions and some numerical experiments are considered.
Bede, B.; Di Nola, A. (2004), Elementary calculus in Riesz MV-algebras, International Journal of Approximate Reasoning, 36, 129-149, 2004. https://doi.org/10.1016/j.ijar.2003.09.003
Chang, C.C. (1958), Algebraic analysis of many valued logics, Trans. Amer. Math. Soc., 88, 467-490, 1958. https://doi.org/10.1090/S0002-9947-1958-0094302-9
Chang, C.C. (1959), A new proof of the completeness of the Lukasiewicz axioms, Trans. Amer. Math. Soc., 93, 74-80, 1959.
Di Nola, A.; Flondor, P.; Leustean, I. (2003), MV-modules, Journal of Algebra, 2003, 261, 21-40, 2003. https://doi.org/10.1016/S0021-8693(03)00332-6
Noje, D. (2002), Using Bernstein Polynomials for image zooming, Proceedings of the Symposium Zilele Academice Clujene, Computer Science Section, 99-102, 2002.
Noje, D.; Bede, B. (2003), Vectorial MV-algebras, Soft Computing, 7(4), 258-262, 2003. https://doi.org/10.1007/s00500-002-0197-3
Noje, D.; Bede, B. (2001), The MV-algebra structure of RGB model, Studia Universitatis Babes-Bolyai, Informatica, XLVI, 1, 77-86, 2001.
Noje, D.; Dzitac I.; Pop N.; Tarca, R. (2019), IoT devices signals processing based on Shepard local approximation operators defined in Riesz MV-algebras, Informatica, submitted for publication 2018.
Shepard, D. D. (1968), A two dimensional interpolation function for irregularly spaced data, Proceedings of 23rd Nat. Conf. ACM, 517â€”524, 1968. https://doi.org/10.1145/800186.810616
[Online]. Sisteme informatice, Universitatea Stefan cel Mare Suceava. Available online: http://www.seap.usv.ro/~sorinv/PSI.pdf, Accessed on 5 October 2018.
[Online]. Sisteme Informatice Industriale, Universitatea Politehnica din Bucuresti. Available online: http://shiva.pub.ro/?page_id=345, Accessed on 2 October 2018.
ONLINE OPEN ACCES: Acces to full text of each article and each issue are allowed for free in respect of Attribution-NonCommercial 4.0 International (CC BY-NC 4.0.
You are free to:
-Share: copy and redistribute the material in any medium or format;
-Adapt: remix, transform, and build upon the material.
The licensor cannot revoke these freedoms as long as you follow the license terms.
DISCLAIMER: The author(s) of each article appearing in International Journal of Computers Communications & Control is/are solely responsible for the content thereof; the publication of an article shall not constitute or be deemed to constitute any representation by the Editors or Agora University Press that the data presented therein are original, correct or sufficient to support the conclusions reached or that the experiment design or methodology is adequate.