A Probabilistic Integral Study of Quasiproduct Overa Nonadditive Measure
In this paper, a definition of non additive measure is given, which has F-addability; the Einstein calculater is optimized, and the λ-fuzzy quasiproduct operator and λ-fuzzy quasi sum operator with adjustable parameters for practical problems are designed, and it is proved that they satisfy the cond...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | zho |
| Published: |
Harbin University of Science and Technology Publications
2021-12-01
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| Series: | Journal of Harbin University of Science and Technology |
| Subjects: | |
| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2045 |
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| Summary: | In this paper, a definition of non additive measure is given, which has F-addability; the Einstein calculater is optimized, and the λ-fuzzy quasiproduct operator and λ-fuzzy quasi sum operator with adjustable parameters for practical problems are designed, and it is proved that they satisfy the conditions of T-norm and S-norm; then, based on this non-additive measure and λ-fuzzy quasiproduct operator, the definition of fuzzy quasi product probability integral is given, and the integral as a whole is regarded as a set function, and the nature of its satisfaction is studied and proved, thus enriching the theory of fuzzy measure. |
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| ISSN: | 1007-2683 |