Representation and application of fuzzy numbers
Fuzzy Sets and Systems - Special issue: fuzzy arithmetic
Metrics and orders in space of fuzzy numbers
Fuzzy Sets and Systems
On a canonical representation 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
Information Sciences: an International Journal
Topological properties of fuzzy numbers
Fuzzy Sets and Systems
Trapezoidal 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
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
Discontinuity of the trapezoidal fuzzy number-valued operators preserving core
Computers & Mathematics with Applications
Nearest interval, triangular and trapezoidal approximation of a fuzzy number preserving ambiguity
International Journal of Approximate Reasoning
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We prove that some important properties of convex subsets of vector topological spaces remain valid in the space of fuzzy numbers endowed with the Euclidean distance. We use these results to obtain a characterization of fuzzy number-valued Lipschitz functions. This fact helps us to find the best Lipschitz constant of the trapezoidal approximation operator preserving the value and ambiguity introduced in a recent paper. Finally, applications in finding within a reasonable error the trapezoidal approximation of a fuzzy number preserving the value and ambiguity in the case when the direct formula is not applicable and an estimation for the defect of additivity of the trapezoidal approximation preserving the value and ambiguity are given.