Uncertain Zero-One Law and Convergence of Uncertain Sequence
This paper is concerned with situations in which the uncertain measure of an event can only be zero or one, and the uncertain zero-one laws are derived within the framework of uncertainty theory that can be seen as the counterpart of Kolmogorov zero-one law and Borel-Cantelli lemma, which can be use...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/2494583 |
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| _version_ | 1832566781752901632 |
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| author | Zhiqiang Zhang Weiqi Liu Xiumei Chen |
| author_facet | Zhiqiang Zhang Weiqi Liu Xiumei Chen |
| author_sort | Zhiqiang Zhang |
| collection | DOAJ |
| description | This paper is concerned with situations in which the uncertain measure of an event can only be zero or one, and the uncertain zero-one laws are derived within the framework of uncertainty theory that can be seen as the counterpart of Kolmogorov zero-one law and Borel-Cantelli lemma, which can be used as a tool for solving some problems concerning almost sure convergence of uncertain sequence. |
| format | Article |
| id | doaj-art-bc875b082d9040ebb224ee6694515ab7 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-bc875b082d9040ebb224ee6694515ab72025-02-03T01:03:12ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/24945832494583Uncertain Zero-One Law and Convergence of Uncertain SequenceZhiqiang Zhang0Weiqi Liu1Xiumei Chen2School of Economics and Management, Shanxi University, Taiyuan 030006, ChinaInstitute of Management and Decision, Shanxi University, Taiyuan 030006, ChinaSchool of Information Engineering, Shandong Youth University of Political Science, Jinan 250103, ChinaThis paper is concerned with situations in which the uncertain measure of an event can only be zero or one, and the uncertain zero-one laws are derived within the framework of uncertainty theory that can be seen as the counterpart of Kolmogorov zero-one law and Borel-Cantelli lemma, which can be used as a tool for solving some problems concerning almost sure convergence of uncertain sequence.http://dx.doi.org/10.1155/2016/2494583 |
| spellingShingle | Zhiqiang Zhang Weiqi Liu Xiumei Chen Uncertain Zero-One Law and Convergence of Uncertain Sequence Discrete Dynamics in Nature and Society |
| title | Uncertain Zero-One Law and Convergence of Uncertain Sequence |
| title_full | Uncertain Zero-One Law and Convergence of Uncertain Sequence |
| title_fullStr | Uncertain Zero-One Law and Convergence of Uncertain Sequence |
| title_full_unstemmed | Uncertain Zero-One Law and Convergence of Uncertain Sequence |
| title_short | Uncertain Zero-One Law and Convergence of Uncertain Sequence |
| title_sort | uncertain zero one law and convergence of uncertain sequence |
| url | http://dx.doi.org/10.1155/2016/2494583 |
| work_keys_str_mv | AT zhiqiangzhang uncertainzeroonelawandconvergenceofuncertainsequence AT weiqiliu uncertainzeroonelawandconvergenceofuncertainsequence AT xiumeichen uncertainzeroonelawandconvergenceofuncertainsequence |