Study on Sugeno Probability Integral of γ-fuzzy Operator
As an indispensable branch of fuzzy mathematics, fuzzy probability integral is an important integral form that relies on fuzzy probability and fuzzy measure, and is also a powerful tool for studying fuzzy mathematics. Aiming at the definition and theorem research of fuzzy probability, fuzzy measure...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | zho |
| Published: |
Harbin University of Science and Technology Publications
2020-08-01
|
| Series: | Journal of Harbin University of Science and Technology |
| Subjects: | |
| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1858 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849768417822769152 |
|---|---|
| author | ZHAO Hui SHAN Yunxiao JIANG Xinge |
| author_facet | ZHAO Hui SHAN Yunxiao JIANG Xinge |
| author_sort | ZHAO Hui |
| collection | DOAJ |
| description | As an indispensable branch of fuzzy mathematics, fuzzy probability integral is an important integral form that relies on fuzzy probability and fuzzy measure, and is also a powerful tool for studying fuzzy mathematics. Aiming at the definition and theorem research of fuzzy probability, fuzzy measure and its integral, two kinds of ideal γ－fuzzy operator form is given, which proves that the condition of triangular norm operator is satisfied; And under the background of the proposed relevance measure space, the definition and theorem of generalized Sugeno probability integral are given, verification of a number of theorems that satisfy the condition to prove its feasibility.
|
| format | Article |
| id | doaj-art-8ca4fa5dc5a048b78d867f13e46b9a69 |
| institution | DOAJ |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2020-08-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-8ca4fa5dc5a048b78d867f13e46b9a692025-08-20T03:03:49ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832020-08-01250415115610.15938/j.jhust.2020.04.022Study on Sugeno Probability Integral of γ-fuzzy OperatorZHAO Hui0SHAN Yunxiao1JIANG Xinge2School of Applied Sciences，Harbin University of Science and Technology，Harbin 150080，ChinaSchool of Applied Sciences，Harbin University of Science and Technology，Harbin 150080，ChinaSchool of Applied Sciences，Harbin University of Science and Technology，Harbin 150080，ChinaAs an indispensable branch of fuzzy mathematics, fuzzy probability integral is an important integral form that relies on fuzzy probability and fuzzy measure, and is also a powerful tool for studying fuzzy mathematics. Aiming at the definition and theorem research of fuzzy probability, fuzzy measure and its integral, two kinds of ideal γ－fuzzy operator form is given, which proves that the condition of triangular norm operator is satisfied; And under the background of the proposed relevance measure space, the definition and theorem of generalized Sugeno probability integral are given, verification of a number of theorems that satisfy the condition to prove its feasibility. https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1858relevance measure spacefuzzy measureγ－fuzzy operatorsugeno probability integral |
| spellingShingle | ZHAO Hui SHAN Yunxiao JIANG Xinge Study on Sugeno Probability Integral of γ-fuzzy Operator Journal of Harbin University of Science and Technology relevance measure space fuzzy measure γ－fuzzy operator sugeno probability integral |
| title | Study on Sugeno Probability Integral of γ-fuzzy Operator |
| title_full | Study on Sugeno Probability Integral of γ-fuzzy Operator |
| title_fullStr | Study on Sugeno Probability Integral of γ-fuzzy Operator |
| title_full_unstemmed | Study on Sugeno Probability Integral of γ-fuzzy Operator |
| title_short | Study on Sugeno Probability Integral of γ-fuzzy Operator |
| title_sort | study on sugeno probability integral of γ fuzzy operator |
| topic | relevance measure space fuzzy measure γ－fuzzy operator sugeno probability integral |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1858 |
| work_keys_str_mv | AT zhaohui studyonsugenoprobabilityintegralofgfuzzyoperator AT shanyunxiao studyonsugenoprobabilityintegralofgfuzzyoperator AT jiangxinge studyonsugenoprobabilityintegralofgfuzzyoperator |