Weighted Moving Averages for a Series of Fuzzy Numbers Based on Nonadditive Measures with σ − λ Rules and Choquet Integral of Fuzzy-Number-Valued Function
The aim of this study is to generalize moving average by means of Choquet integral. First, by employing nonadditive measures with δ − λ rules, the calculation of the moving average for a series of fuzzy numbers can be transformed into Choquet integration of fuzzy-number-valued function under discret...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/3013648 |
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| _version_ | 1832554570254909440 |
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| author | Zengtai Gong Wenjing Lei Kun Liu Na Qin |
| author_facet | Zengtai Gong Wenjing Lei Kun Liu Na Qin |
| author_sort | Zengtai Gong |
| collection | DOAJ |
| description | The aim of this study is to generalize moving average by means of Choquet integral. First, by employing nonadditive measures with δ − λ rules, the calculation of the moving average for a series of fuzzy numbers can be transformed into Choquet integration of fuzzy-number-valued function under discrete case. Meanwhile, the Choquet integral of fuzzy number and Choquet integral of fuzzy number vector are defined. Finally, some properties are investigated by means of convolution formula of Choquet integral. It shows that the results obtained in this paper extend the previous conclusions. |
| format | Article |
| id | doaj-art-67d4a1575f994dd0810a91c5b6f1b21e |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-67d4a1575f994dd0810a91c5b6f1b21e2025-02-03T05:51:14ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/30136483013648Weighted Moving Averages for a Series of Fuzzy Numbers Based on Nonadditive Measures with σ − λ Rules and Choquet Integral of Fuzzy-Number-Valued FunctionZengtai Gong0Wenjing Lei1Kun Liu2Na Qin3College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, ChinaSchool of Economics and Management, Tongji University, Shanghai 200092, ChinaCollege of Mathematics and Statistics, Longdong University, Qingyang, Gansu 745000, ChinaInternet of Things Engineering Research Center of Gansu Province, Northwest Normal University, Lanzhou, ChinaThe aim of this study is to generalize moving average by means of Choquet integral. First, by employing nonadditive measures with δ − λ rules, the calculation of the moving average for a series of fuzzy numbers can be transformed into Choquet integration of fuzzy-number-valued function under discrete case. Meanwhile, the Choquet integral of fuzzy number and Choquet integral of fuzzy number vector are defined. Finally, some properties are investigated by means of convolution formula of Choquet integral. It shows that the results obtained in this paper extend the previous conclusions.http://dx.doi.org/10.1155/2020/3013648 |
| spellingShingle | Zengtai Gong Wenjing Lei Kun Liu Na Qin Weighted Moving Averages for a Series of Fuzzy Numbers Based on Nonadditive Measures with σ − λ Rules and Choquet Integral of Fuzzy-Number-Valued Function Journal of Function Spaces |
| title | Weighted Moving Averages for a Series of Fuzzy Numbers Based on Nonadditive Measures with σ − λ Rules and Choquet Integral of Fuzzy-Number-Valued Function |
| title_full | Weighted Moving Averages for a Series of Fuzzy Numbers Based on Nonadditive Measures with σ − λ Rules and Choquet Integral of Fuzzy-Number-Valued Function |
| title_fullStr | Weighted Moving Averages for a Series of Fuzzy Numbers Based on Nonadditive Measures with σ − λ Rules and Choquet Integral of Fuzzy-Number-Valued Function |
| title_full_unstemmed | Weighted Moving Averages for a Series of Fuzzy Numbers Based on Nonadditive Measures with σ − λ Rules and Choquet Integral of Fuzzy-Number-Valued Function |
| title_short | Weighted Moving Averages for a Series of Fuzzy Numbers Based on Nonadditive Measures with σ − λ Rules and Choquet Integral of Fuzzy-Number-Valued Function |
| title_sort | weighted moving averages for a series of fuzzy numbers based on nonadditive measures with σ λ rules and choquet integral of fuzzy number valued function |
| url | http://dx.doi.org/10.1155/2020/3013648 |
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