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Approximation of a Fuzzy Data Via 0.5-Level and Mean Core

Tayebeh Hajjari


In this contribution, we suggest a new trapezoidal approximation of an arbitrary fuzzy number, which preserves the mean core and its 0.5-level. We prove that the presented method is always a fuzzy number. We then discuss properties of the approximation strategy including translation invariance, scale invariance and identity. The advantages are that the presented method not only preserves two important characteristics of origin fuzzy data but is also simpler than other methods computationally. Some numerical examples are illustrated for the presented method.


fuzzy numbers; trapezoidal fuzzy numbers; mean core.

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