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2014 The Interval-Valued Trapezoidal Approximation of Interval-Valued Fuzzy Numbers and Its Application in Fuzzy Risk Analysis
Zengtai Gong, Shexiang Hai
J. Appl. Math. 2014: 1-22 (2014). DOI: 10.1155/2014/254853

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.

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Zengtai Gong. Shexiang Hai. "The Interval-Valued Trapezoidal Approximation of Interval-Valued Fuzzy Numbers and Its Application in Fuzzy Risk Analysis." J. Appl. Math. 2014 1 - 22, 2014. https://doi.org/10.1155/2014/254853

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131449
Digital Object Identifier: 10.1155/2014/254853

Rights: Copyright © 2014 Hindawi

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