A new approach to the bipolar Shilkret integral
Abstract: Capacity, also known as a non-additive measure, is an extension of the Lebesgue measure. In recent years, bi-capacity was presented as a generalization of capacity with several bipolar fuzzy integrals related to bi-capacity, one of them being the bipolar Shilkret integral. In this paper, w...
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| Format: | Article |
| Language: | English |
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Qom University of Technology
2022-12-01
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| Series: | Mathematics and Computational Sciences |
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| Online Access: | https://mcs.qut.ac.ir/article_700852_81814e447dcc0503203954b805a6c906.pdf |
| _version_ | 1827357589056258048 |
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| author | Jabbar Ghafil |
| author_facet | Jabbar Ghafil |
| author_sort | Jabbar Ghafil |
| collection | DOAJ |
| description | Abstract: Capacity, also known as a non-additive measure, is an extension of the Lebesgue measure. In recent years, bi-capacity was presented as a generalization of capacity with several bipolar fuzzy integrals related to bi-capacity, one of them being the bipolar Shilkret integral. In this paper, we propose a new approach to calculating the bipolar Shilkret integral to be suitable for bipolar scales. Then, we give some main properties of this integral related to bi-capacity. |
| first_indexed | 2024-03-08T05:36:02Z |
| format | Article |
| id | doaj.art-8e4309c8948c46078ca8880f6730d5eb |
| institution | Directory Open Access Journal |
| issn | 2717-2708 |
| language | English |
| last_indexed | 2024-03-08T05:36:02Z |
| publishDate | 2022-12-01 |
| publisher | Qom University of Technology |
| record_format | Article |
| series | Mathematics and Computational Sciences |
| spelling | doaj.art-8e4309c8948c46078ca8880f6730d5eb2024-02-05T19:32:56ZengQom University of TechnologyMathematics and Computational Sciences2717-27082022-12-0134465410.30511/mcs.2022.1971146.1092700852A new approach to the bipolar Shilkret integralJabbar Ghafil0Department of Applied Sciences, University of Technology, Baghdad, IraqAbstract: Capacity, also known as a non-additive measure, is an extension of the Lebesgue measure. In recent years, bi-capacity was presented as a generalization of capacity with several bipolar fuzzy integrals related to bi-capacity, one of them being the bipolar Shilkret integral. In this paper, we propose a new approach to calculating the bipolar Shilkret integral to be suitable for bipolar scales. Then, we give some main properties of this integral related to bi-capacity.https://mcs.qut.ac.ir/article_700852_81814e447dcc0503203954b805a6c906.pdfnon-additive measureshilkret integralbipolar scalesbi-capacitybipolar shilkret integral |
| spellingShingle | Jabbar Ghafil A new approach to the bipolar Shilkret integral Mathematics and Computational Sciences non-additive measure shilkret integral bipolar scales bi-capacity bipolar shilkret integral |
| title | A new approach to the bipolar Shilkret integral |
| title_full | A new approach to the bipolar Shilkret integral |
| title_fullStr | A new approach to the bipolar Shilkret integral |
| title_full_unstemmed | A new approach to the bipolar Shilkret integral |
| title_short | A new approach to the bipolar Shilkret integral |
| title_sort | new approach to the bipolar shilkret integral |
| topic | non-additive measure shilkret integral bipolar scales bi-capacity bipolar shilkret integral |
| url | https://mcs.qut.ac.ir/article_700852_81814e447dcc0503203954b805a6c906.pdf |
| work_keys_str_mv | AT jabbarghafil anewapproachtothebipolarshilkretintegral AT jabbarghafil newapproachtothebipolarshilkretintegral |