Real and complex analysis, 3rd ed.
Real and complex analysis, 3rd ed.
The mean value of a fuzzy number
Fuzzy Sets and Systems - Fuzzy Numbers
The expected value of a fuzzy number
Fuzzy Sets and Systems
Metrics and orders in space of fuzzy numbers
Fuzzy Sets and Systems
Nearest interval approximation of a fuzzy number
Fuzzy Sets and Systems - Fuzzy intervals
A note on trapezoidal approximations of fuzzy numbers
Fuzzy Sets and Systems
Note on “Trapezoidal approximation of fuzzy numbers”
Fuzzy Sets and Systems
Trapezoidal approximations of fuzzy numbers---revisited
Fuzzy Sets and Systems
Weighted triangular approximation of fuzzy numbers
International Journal of Approximate Reasoning
On improving trapezoidal and triangular approximations of fuzzy numbers
International Journal of Approximate Reasoning
Trapezoidal and triangular approximations preserving the expected interval
Fuzzy Sets and Systems
On the nearest parametric approximation of a fuzzy number
Fuzzy Sets and Systems
Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval
Fuzzy Sets and Systems
Triangular and parametric approximations of fuzzy numbers---inadvertences and corrections
Fuzzy Sets and Systems
On the nearest parametric approximation of a fuzzy number---Revisited
Fuzzy Sets and Systems
Weighted trapezoidal and triangular approximations of fuzzy numbers
Fuzzy Sets and Systems
Trapezoidal approximations of fuzzy numbers
Fuzzy Sets and Systems
Fuzzy numbers from raw discrete data using linear regression
Information Sciences: an International Journal
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In this paper, we prove new distance properties between a fuzzy number and its trapezoidal approximation preserving the expected interval. Then, we find the best Lipschitz constant of the trapezoidal approximation operator preserving the expected interval. Finally, we use this result in finding within a reasonable error the trapezoidal approximation of a fuzzy number preserving the expected interval in the case when the direct formula leads to complex calculations.