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A note on a theorem by Aldo Ghizzetti | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 17، شماره 6، بهمن و اسفند 2020، صفحه 17-27 اصل مقاله (407.35 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2020.5598 | ||
| نویسندگان | ||
| G. Caterina* 1؛ V. Cafagna2 | ||
| 1Department of Mathematics, Endicott College, Beverly MA, U.S.A. | ||
| 2Dipartimento di Matematica, Universita degli Studi di Salerno, Salerno, Italy | ||
| چکیده | ||
| In this article, we explore some aspects of Fourier analysis on fuzzy sets. In particular, we give a complete characterization of the Fourier coefficients of fuzzy subsets of the unit circle. The main result hinges on a theorem by the Italian mathematician Aldo Ghizzetti. This work was part of a broader project jointly with Professor Vittorio Cafagna, who, sadly, passed away unexpectedly in 2007. His intellectual breadth and inspiring passion for mathematics still keeps shining today. | ||
| کلیدواژه‌ها | ||
| Fuzzy sets؛ fuzzy sequences؛ fuzzy fourier transform؛ spectral analysis | ||
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