Interval-valued intuitionistic trapezoidal fuzzy number and its application

2014 ◽  
Author(s):  
Junhong Li ◽  
Wenyi Zeng ◽  
Ping Guo
Keyword(s):  
Fuzzy Number ◽  
Trapezoidal Fuzzy Number ◽  
Intuitionistic Trapezoidal Fuzzy Number ◽  
Interval Valued

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

2014 ◽  
Vol 2014 ◽  
pp. 1-22 ◽  
Author(s):  
Zengtai Gong ◽  
Shexiang Hai
Keyword(s):  
Risk Analysis ◽  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
Approximation Operator ◽  
Weighted Distance ◽  
Trapezoidal Fuzzy Number ◽  
The Core ◽  
Fuzzy Risk Analysis ◽  
The Given ◽  
Interval Valued

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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