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
Fuzzy Sets and Systems
The expected value of a fuzzy number
Fuzzy Sets and Systems
Metrics and orders in space of fuzzy numbers
Fuzzy Sets and Systems
On a canonical representation of fuzzy numbers
Fuzzy Sets and Systems
A new approach for ranking fuzzy numbers by distance method
Fuzzy Sets and Systems
A new approach for defuzzification
Fuzzy Sets and Systems
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Nearest interval approximation of a fuzzy number
Fuzzy Sets and Systems - Fuzzy intervals
Trapezoidal approximations of fuzzy numbers---revisited
Fuzzy Sets and Systems
Approximation properties of piece-wise parabolic functions fuzzy logic systems
Fuzzy Sets and Systems
Ranking of fuzzy numbers by sign distance
Information Sciences: an International Journal
Trapezoidal approximations of fuzzy numbers---revisited
Fuzzy Sets and Systems
Using trapezoids for representing granular objects: Applications to learning and OWA aggregation
Information Sciences: an International Journal
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
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
Weighted trapezoidal approximation-preserving cores of a fuzzy number
Computers & Mathematics with Applications
Weighted semi-trapezoidal approximations of fuzzy numbers
Fuzzy Sets and Systems
Weighted semi-trapezoidal approximations of fuzzy numbers
Fuzzy Sets and Systems
Operations of fuzzy numbers via genuine set
RSKT'10 Proceedings of the 5th international conference on Rough set and knowledge technology
Approximations of fuzzy numbers by trapezoidal fuzzy numbers preserving the ambiguity and value
Computers & Mathematics with Applications
Metric properties of the nearest extended parametric fuzzy number and applications
International Journal of Approximate Reasoning
Nearest interval, triangular and trapezoidal approximation of a fuzzy number preserving ambiguity
International Journal of Approximate Reasoning
Lipschitz functions and fuzzy number approximations
Fuzzy Sets and Systems
Fuzzy number approximation via shadowed sets
Information Sciences: an International Journal
Fuzzy numbers from raw discrete data using linear regression
Information Sciences: an International Journal
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In this paper, we propose some generalized and new properties of the trapezoidal approximations of fuzzy numbers. First, we claim that the trapezoidal approximation operator is linear with respect to the operations of fuzzy numbers. Second, we show a new property concerning the centroid points of fuzzy numbers. Furthermore, a comment for computing the trapezoidal approximations is provided. Finally, some properties about the distance between a fuzzy number and its trapezoidal approximation are proved.