The Interval-Valued Trapezoidal Approximation of Interval-Valued Fuzzy Numbers and Its Application in Fuzzy Risk Analysis | Zendy

Zengtai Gong | Zendy; Shexiang Hai | Zendy

Open Access

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

Author(s) -

Zengtai Gong,

Shexiang Hai

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/254853

Subject(s) - mathematics , fuzzy number , fuzzy logic , interval (graph theory) , fuzzy set operations , fuzzy set , operator (biology) , type 2 fuzzy sets and systems , defuzzification , mathematical optimization , discrete mathematics , computer science , artificial intelligence , combinatorics , biochemistry , chemistry , repressor , transcription factor , gene

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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