On Properties of the Choquet Integral of Interval-Valued Functions
Based on the concept of an interval-valued function which is motivated by the goal to represent an uncertain function, we define the Choquet integral with respect to a fuzzy measure of interval-valued functions. We also discuss convergence in the (C) mean and convergence in a fuzzy measure of sequen...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/492149 |
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| _version_ | 1832555483843526656 |
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| author | Lee-Chae Jang |
| author_facet | Lee-Chae Jang |
| author_sort | Lee-Chae Jang |
| collection | DOAJ |
| description | Based on the concept of an interval-valued function which is motivated by the
goal to represent an uncertain function, we define the Choquet integral with respect to a
fuzzy measure of interval-valued functions. We also discuss convergence in the (C) mean
and convergence in a fuzzy measure of sequences of measurable interval-valued functions. In
particular, we investigate the convergence theorem for the Choquet integral of measurable
interval-valued functions. |
| format | Article |
| id | doaj-art-9ff4a676dec74713b97b8b0e1f034d21 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9ff4a676dec74713b97b8b0e1f034d212025-02-03T05:48:06ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/492149492149On Properties of the Choquet Integral of Interval-Valued FunctionsLee-Chae Jang0Department of Computer Engineering, Konkuk University, Chungju 138-701, Republic of KoreaBased on the concept of an interval-valued function which is motivated by the goal to represent an uncertain function, we define the Choquet integral with respect to a fuzzy measure of interval-valued functions. We also discuss convergence in the (C) mean and convergence in a fuzzy measure of sequences of measurable interval-valued functions. In particular, we investigate the convergence theorem for the Choquet integral of measurable interval-valued functions.http://dx.doi.org/10.1155/2011/492149 |
| spellingShingle | Lee-Chae Jang On Properties of the Choquet Integral of Interval-Valued Functions Journal of Applied Mathematics |
| title | On Properties of the Choquet Integral of Interval-Valued Functions |
| title_full | On Properties of the Choquet Integral of Interval-Valued Functions |
| title_fullStr | On Properties of the Choquet Integral of Interval-Valued Functions |
| title_full_unstemmed | On Properties of the Choquet Integral of Interval-Valued Functions |
| title_short | On Properties of the Choquet Integral of Interval-Valued Functions |
| title_sort | on properties of the choquet integral of interval valued functions |
| url | http://dx.doi.org/10.1155/2011/492149 |
| work_keys_str_mv | AT leechaejang onpropertiesofthechoquetintegralofintervalvaluedfunctions |