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The Interval-Valued Trapezoidal Approximation of Interval-Valued Fuzzy Numbers and Its Application in Fuzzy Risk Analysis
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-12
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zeng-tai, Gong& Hai, Shexiang. 2014. The Interval-Valued Trapezoidal Approximation of Interval-Valued Fuzzy Numbers and Its Application in Fuzzy Risk Analysis. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-22.
https://search.emarefa.net/detail/BIM-457806
Modern Language Association (MLA)
Zeng-tai, Gong& Hai, Shexiang. The Interval-Valued Trapezoidal Approximation of Interval-Valued Fuzzy Numbers and Its Application in Fuzzy Risk Analysis. Journal of Applied Mathematics No. 2014 (2014), pp.1-22.
https://search.emarefa.net/detail/BIM-457806
American Medical Association (AMA)
Zeng-tai, Gong& Hai, Shexiang. The Interval-Valued Trapezoidal Approximation of Interval-Valued Fuzzy Numbers and Its Application in Fuzzy Risk Analysis. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-22.
https://search.emarefa.net/detail/BIM-457806
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457806