Simulation of Random LR Fuzzy Intervals
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866929681715953664 |
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| author | Romaniuk, Maciej Parchami, Abbas Grzegorzewski, Przemysław |
| author_facet | Romaniuk, Maciej Parchami, Abbas Grzegorzewski, Przemysław |
| contents | Random fuzzy variables join the modeling of the impreciseness (due to their ``fuzzy part'') and randomness. Statistical samples of such objects are widely used, and their direct, numerically effective generation is therefore necessary. Usually, these samples consist of triangular or trapezoidal fuzzy numbers. In this paper, we describe theoretical results and simulation algorithms for another family of fuzzy numbers -- LR fuzzy numbers with interval-valued cores. Starting from a simulation perspective on the piecewise linear LR fuzzy numbers with the interval-valued cores, their limiting behavior is then considered. This leads us to the numerically efficient algorithm for simulating a sample consisting of such fuzzy values. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10482 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Simulation of Random LR Fuzzy Intervals Romaniuk, Maciej Parchami, Abbas Grzegorzewski, Przemysław Machine Learning Logic in Computer Science Probability Computation Other Statistics Random fuzzy variables join the modeling of the impreciseness (due to their ``fuzzy part'') and randomness. Statistical samples of such objects are widely used, and their direct, numerically effective generation is therefore necessary. Usually, these samples consist of triangular or trapezoidal fuzzy numbers. In this paper, we describe theoretical results and simulation algorithms for another family of fuzzy numbers -- LR fuzzy numbers with interval-valued cores. Starting from a simulation perspective on the piecewise linear LR fuzzy numbers with the interval-valued cores, their limiting behavior is then considered. This leads us to the numerically efficient algorithm for simulating a sample consisting of such fuzzy values. |
| title | Simulation of Random LR Fuzzy Intervals |
| topic | Machine Learning Logic in Computer Science Probability Computation Other Statistics |
| url | https://arxiv.org/abs/2501.10482 |