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Ellipsoids and ellipsoid-shaped fuzzy sets as natural multi-variate generalization of intervals and fuzzy numbers: How to elicit them from users, and how to use them in data processing |
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| Authors: | Vladik Kreinovich Jan Beck Hung T. Nguyen |
| Affiliation: | a Department of Computer Science, University of Texas at El Paso, El Paso, TX 79968, USA b X-L Synergy, 2000 Wyoming Avenue, El Paso, TX 79903, USA c Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88003, USA |
| Abstract: | In this paper, we show that ellipsoids are natural multi-variate generalization of intervals and ellipsoid-shaped fuzzy sets are a natural generalization of fuzzy numbers. We explain how to elicit them from users, and how to use them in data processing. |
| Keywords: | Ellipsoids Fuzzy sets Knowledge elicitation Data processing |
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