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Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval
Authors:Adrian Ban  
Institution:

aDepartment of Mathematics and Informatics, University of Oradea, Universit??ii 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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