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Solutions to fuzzy integral equations with arbitrary kernels. (English) Zbl 0949.65137

The authors propose a numerical integration scheme for solving fuzzy integral equations of Fredholm and Volterra type with arbitrary continuous kernels. It is shown that the scheme, based on the trapezoidal rule converges uniformly to the respective exact unique solution. Adequate numerical examples are given.

MSC:

65R20 Numerical methods for integral equations
28E10 Fuzzy measure theory
26E50 Fuzzy real analysis
45B05 Fredholm integral equations
45D05 Volterra integral equations
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