A Probability Integral on η-fuzzy Measure
For the study of relevant definitions and theorems of fuzzy integrals, a fuzzy measure is first defined; then a pair of optimized Einstein operators of the form are designed, which are λ-fuzzy quasiproduct operator and λ-fuzzy quasisum operator respectively. It is proved that the T triangular norm...
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| Format: | Article |
| Language: | Chinese |
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Harbin University of Science and Technology Publications
2022-04-01
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| Series: | Journal of Harbin University of Science and Technology |
| Subjects: | |
| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2088 |
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| _version_ | 1839606120828633088 |
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| author | CHANG Xin-qi ZHAO Hui WU Yang |
| author_facet | CHANG Xin-qi ZHAO Hui WU Yang |
| author_sort | CHANG Xin-qi |
| collection | DOAJ |
| description | For the study of relevant definitions and theorems of fuzzy integrals, a fuzzy measure is first defined; then a pair of optimized Einstein operators of the form are designed, which are λ-fuzzy quasiproduct operator and λ-fuzzy quasisum operator respectively. It is proved that the T triangular norm and S triangular norm conditions are satisfied. Finally, the definition of λ-fuzzy product probability integral and its theorem are given on the η-fuzzy measure space, and the proof of the theorem is also given, thus enriching the content of fuzzy measure theory. |
| format | Article |
| id | doaj-art-4491c17dbcc34e3096b5b0b14353df9d |
| institution | Matheson Library |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2022-04-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-4491c17dbcc34e3096b5b0b14353df9d2025-08-01T09:48:27ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832022-04-01270215416010.15938/j.jhust.2022.02.020A Probability Integral on η-fuzzy MeasureCHANG Xin-qi0ZHAO Hui1WU Yang2School of Sciences，Harbin University of Science and Technology，Harbin 150080，ChinaSchool of Sciences，Harbin University of Science and Technology，Harbin 150080，ChinaSchool of Sciences，Harbin University of Science and Technology，Harbin 150080，ChinaFor the study of relevant definitions and theorems of fuzzy integrals, a fuzzy measure is first defined; then a pair of optimized Einstein operators of the form are designed, which are λ-fuzzy quasiproduct operator and λ-fuzzy quasisum operator respectively. It is proved that the T triangular norm and S triangular norm conditions are satisfied. Finally, the definition of λ-fuzzy product probability integral and its theorem are given on the η-fuzzy measure space, and the proof of the theorem is also given, thus enriching the content of fuzzy measure theory.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2088η-fuzzy measureλ-fuzzy quasiproduct operatorλ-fuzzy integral-like probability integral |
| spellingShingle | CHANG Xin-qi ZHAO Hui WU Yang A Probability Integral on η-fuzzy Measure Journal of Harbin University of Science and Technology η-fuzzy measure λ-fuzzy quasiproduct operator λ-fuzzy integral-like probability integral |
| title | A Probability Integral on η-fuzzy Measure |
| title_full | A Probability Integral on η-fuzzy Measure |
| title_fullStr | A Probability Integral on η-fuzzy Measure |
| title_full_unstemmed | A Probability Integral on η-fuzzy Measure |
| title_short | A Probability Integral on η-fuzzy Measure |
| title_sort | probability integral on η fuzzy measure |
| topic | η-fuzzy measure λ-fuzzy quasiproduct operator λ-fuzzy integral-like probability integral |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2088 |
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