Information Sciences: an International Journal - Fuzzy random variables
On the formalization of fuzzy random variables
Information Sciences: an International Journal - Fuzzy random variables
Random fuzzy variables of second order and applications to statistical inference
Information Sciences: an International Journal - Fuzzy random variables
Two-sample hypothesis tests of means of a fuzzy random variable
Information Sciences: an International Journal - Fuzzy random variables
Some complete metrics on spaces of fuzzy subsets
Fuzzy Sets and Systems - Fuzzy intervals
Toward a generalized theory of uncertainty (GTU): an outline
Information Sciences—Informatics and Computer Science: An International Journal
A Heuristic Approach to Learning Rules from Fuzzy Databases
IEEE Intelligent Systems
Fuzzy set-valued Gaussian processes and Brownian motions
Information Sciences: an International Journal
Fuzzy measures and integrals in evaluation of strategies
Information Sciences: an International Journal
Using trapezoids for representing granular objects: Applications to learning and OWA aggregation
Information Sciences: an International Journal
On discovery of soft associations with "most" fuzzy quantifier for item promotion applications
Information Sciences: an International Journal
Information Sciences: an International Journal
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
Is there a need for fuzzy logic?
Information Sciences: an International Journal
A weighted fuzzy c-means clustering model for fuzzy data
Computational Statistics & Data Analysis
The fuzzy approach to statistical analysis
Computational Statistics & Data Analysis
Bootstrap approach to the multi-sample test of means with imprecise data
Computational Statistics & Data Analysis
IEEE Transactions on Fuzzy Systems
Different averages of a fuzzy set with an application to vessel segmentation
IEEE Transactions on Fuzzy Systems
Information Sciences: an International Journal
On the approximation of compact fuzzy sets
Computers & Mathematics with Applications
Robust H∞ control for a class of discrete time fuzzy systems via delta operator approach
Information Sciences: an International Journal
Fuzzy numbers from raw discrete data using linear regression
Information Sciences: an International Journal
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This work deals with the simulation of fuzzy random variables, which can be used to model various realistic situations, where uncertainty is not only present in form of randomness but also in form of imprecision, described by means of fuzzy sets. Utilizing the common arithmetics in the space of all fuzzy sets only induces a conical structure. As a consequence, it is difficult to directly apply the usual simulation techniques for functional data. In order to overcome this difficulty two different approaches based on the concept of support functions are presented. The first one makes use of techniques for simulating Hilbert space-valued random elements and afterwards projects on the cone of all fuzzy sets. It is shown by empirical results that the practicability of this approach is limited. The second approach imitates the representation of every element of a separable Hilbert space in terms of an orthonormal basis directly on the space of fuzzy sets. In this way, a new approximation of fuzzy sets useful to approximate and simulate fuzzy random variables is developed. This second approach is adequate to model various realistic situations.