The Alternative Representation of the Bipolar Sugeno Integral
In the context of decision support systems, bi-capacities were introduced as an extension of classical capacities. Many bipolar fuzzy integrals related to the bi-capacities have been presented in recent years. One of these integrals is the Sugeno integral concerning aggregation on bipolar scales. Th...
| 出版年: | Engineering and Technology Journal |
|---|---|
| 主要な著者: | , |
| フォーマット: | 論文 |
| 言語: | 英語 |
| 出版事項: |
Unviversity of Technology- Iraq
2022-10-01
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| 主題: | |
| オンライン･アクセス: | https://etj.uotechnology.edu.iq/article_175545_daf3d8fc52d50f86e177f33459e2157f.pdf |
| _version_ | 1850122672095100928 |
|---|---|
| author | Jabbar Abbas Hossein Jafari |
| author_facet | Jabbar Abbas Hossein Jafari |
| author_sort | Jabbar Abbas |
| collection | DOAJ |
| container_title | Engineering and Technology Journal |
| description | In the context of decision support systems, bi-capacities were introduced as an extension of classical capacities. Many bipolar fuzzy integrals related to the bi-capacities have been presented in recent years. One of these integrals is the Sugeno integral concerning aggregation on bipolar scales. The paper aims to build an equivalent representation of the bipolar Sugeno integral. Therefore, we first employ in this paper the framework based on a ternary-criterion set for proposing an alternative formula of the bipolar Sugeno integral to be suitable for bipolar scales. Then, we discuss some basic properties and give an illustrative example of this representation. This representation is consistent as an extension of the representation concerning the classical capacities and aggregation on the Sugeno integral unipolar scales. |
| format | Article |
| id | doaj-art-e8f19304af27448cb3832d5c2dcc8d75 |
| institution | Directory of Open Access Journals |
| issn | 1681-6900 2412-0758 |
| language | English |
| publishDate | 2022-10-01 |
| publisher | Unviversity of Technology- Iraq |
| record_format | Article |
| spelling | doaj-art-e8f19304af27448cb3832d5c2dcc8d752025-08-19T23:55:42ZengUnviversity of Technology- IraqEngineering and Technology Journal1681-69002412-07582022-10-0140101318132410.30684/etj.2022.135012.1256175545The Alternative Representation of the Bipolar Sugeno IntegralJabbar Abbas0Hossein Jafari1Department of Applied Sciences, University of Technology, Baghdad, IraqDepartment of Mathematical Sciences, University of South Africa, UNISA0003, South AfricaIn the context of decision support systems, bi-capacities were introduced as an extension of classical capacities. Many bipolar fuzzy integrals related to the bi-capacities have been presented in recent years. One of these integrals is the Sugeno integral concerning aggregation on bipolar scales. The paper aims to build an equivalent representation of the bipolar Sugeno integral. Therefore, we first employ in this paper the framework based on a ternary-criterion set for proposing an alternative formula of the bipolar Sugeno integral to be suitable for bipolar scales. Then, we discuss some basic properties and give an illustrative example of this representation. This representation is consistent as an extension of the representation concerning the classical capacities and aggregation on the Sugeno integral unipolar scales.https://etj.uotechnology.edu.iq/article_175545_daf3d8fc52d50f86e177f33459e2157f.pdfbi-capacitiesdecision support systemsfuzzy integralsbipolar sugeno integral |
| spellingShingle | Jabbar Abbas Hossein Jafari The Alternative Representation of the Bipolar Sugeno Integral bi-capacities decision support systems fuzzy integrals bipolar sugeno integral |
| title | The Alternative Representation of the Bipolar Sugeno Integral |
| title_full | The Alternative Representation of the Bipolar Sugeno Integral |
| title_fullStr | The Alternative Representation of the Bipolar Sugeno Integral |
| title_full_unstemmed | The Alternative Representation of the Bipolar Sugeno Integral |
| title_short | The Alternative Representation of the Bipolar Sugeno Integral |
| title_sort | alternative representation of the bipolar sugeno integral |
| topic | bi-capacities decision support systems fuzzy integrals bipolar sugeno integral |
| url | https://etj.uotechnology.edu.iq/article_175545_daf3d8fc52d50f86e177f33459e2157f.pdf |
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