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Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval |
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| Authors: | Adrian Ban |
| Affiliation: | aDepartment of Mathematics and Informatics, University of Oradea, Universităţii 1, 410087 Oradea, Romania |
| Abstract: | The problem to find the nearest trapezoidal approximation of a fuzzy number with respect to a well-known metric, which preserves the expected interval of the fuzzy number, is completely solved. The previously proposed approximation operators are improved so as to always obtain a trapezoidal fuzzy number. Properties of this new trapezoidal approximation operator are studied. |
| Keywords: | Fuzzy number Trapezoidal fuzzy number Trapezoidal approximation |
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