The Interval‐Valued Trapezoidal Approximation of Interval‐Valued Fuzzy Numbers and Its Application in Fuzzy Risk Analysis

Zengtai Gong and Shexiang Hai

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: Taking into account that interval‐valued fuzzy numbers can provide more flexibility to represent the imprecise information and interval‐valued trapezoidal fuzzy numbers are widely used in practice, this paper devotes to seek an approximation operator that produces an interval‐valued trapezoidal fuzzy number which is the nearest one to the given interval‐valued fuzzy number, and the approximation operator preserves the core of the original interval‐valued fuzzy number with respect to the weighted distance. As an application, we use the interval‐valued trapezoidal approximation to handle fuzzy risk analysis problems, which overcome the drawback of existing fuzzy risk analysis methods.

Date: 2014
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https://doi.org/10.1155/2014/254853

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:254853

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