The mean value of a fuzzy number
Fuzzy Sets and Systems - Fuzzy Numbers
The expected value of a fuzzy number
Fuzzy Sets and Systems
Why triangular membership functions?
Fuzzy Sets and Systems
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
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
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
From fuzzy sets to shadowed sets: Interpretation and computing
International Journal of Intelligent Systems - Decision Sciences: Foundations and Applications
Bi-symmetrically Weighted Trapezoidal Approximations of Fuzzy Numbers
ISDA '09 Proceedings of the 2009 Ninth International Conference on Intelligent Systems Design and Applications
Trapezoidal approximations of fuzzy numbers
Fuzzy Sets and Systems
Discussion: Some notes on (Atanassov's) intuitionistic fuzzy sets
Fuzzy Sets and Systems
Shadowed sets: representing and processing fuzzy sets
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Fuzzy numbers from raw discrete data using linear regression
Information Sciences: an International Journal
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Interval and trapezoidal approximation methods for fuzzy numbers have been intensively developed and examined recently. In this paper another approach to simplify fuzzy numbers, called shadowed set approximation, is suggested. Some basic properties of the proposed method is also discussed. It seems that the proposed approximation might be useful for granular computing as a tool that removes excessive precision in describing imprecise phenomena.