In this article, Simpson's rule for the double integral of a fuzzy-valued function, one of whose variables is classical, is proposed using the Hausdorff distance. Also, fine partitions are introduced. The integration domain is a quasi-fuzzy rectangle.
This paper deals with abstract version of the Cauchy Problem in fuzzy normed space. We define a Hausdorff measure of non compactness for bounded fuzzy set to prove existence of solutions by using a sequential approximation of the abstract problem. As a byproduct, we obtain a fuzzy version of the Cauchy-Kowaleskya Theorem for the generalized Hukuhara nonlinear partial differential equations.
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