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

doi:10.1016/j.fss.2007.09.008

Fuzzy Sets and Systems

Volume 159, Issue 11, 1 June 2008, Pages 1327-1344

https://doi.org/10.1016/j.fss.2007.09.008 Get rights and content

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.

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

Abstract

Appl. Math. Comput. (New York)

Fuzzy Sets and Systems

Inform. Sci.

Fuzzy Sets and Systems

Fuzzy Sets and Systems

Fuzzy Sets and Systems

Fuzzy Sets and Systems

Fuzzy Sets and Systems