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
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 fuzzy approach to R&D project portfolio selection
International Journal of Approximate Reasoning
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
Computers & Mathematics with Applications
Fuzzy economic order time models with random demand
International Journal of Approximate Reasoning
Efficient triangular type-2 fuzzy logic systems
International Journal of Approximate Reasoning
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
Median value and median interval of a fuzzy number
Information Sciences: an International Journal
Weighted trapezoidal approximation-preserving cores of a fuzzy number
Computers & Mathematics with Applications
An inventory model with backorders with fuzzy parameters and decision variables
International Journal of Approximate Reasoning
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
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Linguistic cost-sensitive learning of genetic fuzzy classifiers for imprecise data
International Journal of Approximate Reasoning
Trapezoidal approximation and aggregation
Fuzzy Sets and Systems
Fuzzy ontology representation using OWL 2
International Journal of Approximate Reasoning
Discontinuity of the trapezoidal fuzzy number-valued operators preserving core
Computers & Mathematics with Applications
Lipschitz functions and fuzzy number approximations
Fuzzy Sets and Systems
How different are ranking methods for fuzzy numbers? A numerical study
International Journal of Approximate Reasoning
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The ambiguity was introduced to simplify the task of representing and handling of fuzzy numbers. We find the nearest real interval, nearest triangular (symmetric) fuzzy number, nearest trapezoidal (symmetric) fuzzy number of a fuzzy number, with respect to average Euclidean distance, preserving the ambiguity. A simpler and elementary method, to avoid the Karush-Kuhn-Tucker theorem and the laborious calculus associated with it and to prove the continuity is used. We give algorithms for calculus and several examples. The approximations are discussed in relation to data aggregation.