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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| Format: | Article |
| Language: | zho |
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Harbin University of Science and Technology Publications
2021-12-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2045 |
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| _version_ | 1849415333030395904 |
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| author | ZHAO Hui ZHANG Xiao-xue ZHANG Shao-xin |
| author_facet | ZHAO Hui ZHANG Xiao-xue ZHANG Shao-xin |
| author_sort | ZHAO Hui |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c2a42d8bb0b84eca89207efa37d282f6 |
| institution | Kabale University |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2021-12-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-c2a42d8bb0b84eca89207efa37d282f62025-08-20T03:33:34ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832021-12-01260613113710.15938/j.jhust.2021.06.018A Probabilistic Integral Study of Quasiproduct Overa Nonadditive MeasureZHAO Hui0ZHANG Xiao-xue1ZHANG Shao-xin2School 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，ChinaIn 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.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2045f-continuous non-additive measureλ-fuzzy operatorfuzzy quasi-product probability integrals |
| spellingShingle | ZHAO Hui ZHANG Xiao-xue ZHANG Shao-xin A Probabilistic Integral Study of Quasiproduct Overa Nonadditive Measure Journal of Harbin University of Science and Technology f-continuous non-additive measure λ-fuzzy operator fuzzy quasi-product probability integrals |
| title | A Probabilistic Integral Study of Quasiproduct Overa Nonadditive Measure |
| title_full | A Probabilistic Integral Study of Quasiproduct Overa Nonadditive Measure |
| title_fullStr | A Probabilistic Integral Study of Quasiproduct Overa Nonadditive Measure |
| title_full_unstemmed | A Probabilistic Integral Study of Quasiproduct Overa Nonadditive Measure |
| title_short | A Probabilistic Integral Study of Quasiproduct Overa Nonadditive Measure |
| title_sort | probabilistic integral study of quasiproduct overa nonadditive measure |
| topic | f-continuous non-additive measure λ-fuzzy operator fuzzy quasi-product probability integrals |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2045 |
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