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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| Main Authors: | , , |
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| Format: | Article |
| Language: | Chinese |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1007-2683 |