Granular counting of uncertain data
We propose a definition of granular count realized in the presence of uncertain data modeled through possibility distributions. We show that the resulting counts are fuzzy intervals in the domain of natural numbers. Based on this result, we devise two algorithms for granular counting: an exact count...
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| Vydané v: | Fuzzy sets and systems Ročník 387; s. 108 - 126 |
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| Médium: | Journal Article |
| Jazyk: | English |
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Elsevier B.V
15.05.2020
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| ISSN: | 0165-0114 |
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| Abstract | We propose a definition of granular count realized in the presence of uncertain data modeled through possibility distributions. We show that the resulting counts are fuzzy intervals in the domain of natural numbers. Based on this result, we devise two algorithms for granular counting: an exact counting algorithm with quadratic-time complexity and an approximate counting algorithm with linear-time complexity. We compare the two algorithms on synthetic data and show their application to a Bioinformatics scenario concerning the assessment of gene expressions in cells. |
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| AbstractList | We propose a definition of granular count realized in the presence of uncertain data modeled through possibility distributions. We show that the resulting counts are fuzzy intervals in the domain of natural numbers. Based on this result, we devise two algorithms for granular counting: an exact counting algorithm with quadratic-time complexity and an approximate counting algorithm with linear-time complexity. We compare the two algorithms on synthetic data and show their application to a Bioinformatics scenario concerning the assessment of gene expressions in cells. |
| Author | Pedrycz, W. Mencar, C. |
| Author_xml | – sequence: 1 givenname: C. orcidid: 0000-0001-8712-023X surname: Mencar fullname: Mencar, C. email: corrado.mencar@uniba.it organization: Department of Informatics, University of Bari “A. Moro”, Bari, Italy – sequence: 2 givenname: W. surname: Pedrycz fullname: Pedrycz, W. email: wpedrycz@ualberta.ca organization: Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada |
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| Cites_doi | 10.1016/0165-0114(93)90141-4 10.1016/0165-0114(78)90029-5 10.1007/s41066-015-0008-8 10.1109/TNNLS.2013.2292894 10.1093/nar/gkm987 10.1016/j.neucom.2014.09.081 10.1016/0165-0114(85)90025-9 10.1016/j.fss.2013.07.012 10.1016/0165-0114(94)00284-E 10.1109/TKDE.2008.190 10.1016/0165-0114(94)00177-9 10.1109/TPAMI.1986.4767822 10.1109/TKDE.2016.2545658 10.1007/s10472-012-9290-1 10.1016/j.fss.2011.02.008 10.1016/0165-0114(87)90096-0 10.1016/j.fss.2006.10.027 10.1016/j.csda.2006.04.015 |
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