Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval

Authors:
Adrian Ban
Affiliations:
Department of Mathematics and Informatics, University of Oradea, Universităţii 1, 410087 Oradea, Romania
Venue:
Fuzzy Sets and Systems
Year:
2008

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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.