On a canonical representation of fuzzy numbers
Fuzzy Sets and Systems
Construction of differentiable membership functions
Fuzzy Sets and Systems - Special issue on analytical and structural considerations in fuzzy modeling
A generalization of the Minkowski embedding theorem and applications
Fuzzy Sets and Systems
Trapezoidal approximations of fuzzy numbers---revisited
Fuzzy Sets and Systems
On the nearest parametric approximation of a fuzzy number
Fuzzy Sets and Systems
A new type of approximation for fuzzy intervals
Fuzzy Sets and Systems
Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval
Fuzzy Sets and Systems
An approximation to the extension principle using decomposition of fuzzy intervals
Fuzzy Sets and Systems
Simulation of fuzzy random variables
Information Sciences: an International Journal
Trapezoidal approximations of fuzzy numbers
Fuzzy Sets and Systems
The approximation of piecewise linear membership functions and Łukasiewicz operators
Fuzzy Sets and Systems
An empirical risk functional to improve learning in a neuro-fuzzy classifier
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Extension of fuzzy logic operators defined on bounded lattices via retractions
Computers & Mathematics with Applications
On polygonal fuzzy sets and numbers
Fuzzy Sets and Systems
| Hi-index | 0.09 |
This paper suggests an approximation for a compact fuzzy set by a sequence of Lipschitz fuzzy sets. This approximation method involves the construction of Lipschitz fuzzy sets using the sup-min convolution of a compact fuzzy set with a fuzzy zero. Considering a similar procedure, we present the approximation of a trapezoidal type fuzzy interval by a sequence of differentiable fuzzy intervals. We show some important properties of both approximations and we give some numerical examples illustrating the results.