Abstract
A new definition of definite integral of fuzzy-valued function generated linearly by structural elements is given by using a kind of fuzzy distance. The convergence of the definite integral must satisfy horizontal convergence. Then, combining the definition of fuzzy limit and fuzzy derivative, the calculation of fuzzy area, fuzzy volume, fuzzy curve, and fuzzy surface is studied by using the definite integral of the fuzzy-valued function generated linearly by structural elements.
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