Abstract
In this paper, we consider the boundary valued problems for fuzzy partial hyperbolic functional differential equations with local and integral boundary conditions. A new weighted metric is used to investigate the existence and uniqueness of fuzzy solutions for these problems in a complete fuzzy metric space. Our results are demonstrated in some numerical examples in which we use the same strategy as Buckley-Feuring to build fuzzy solutions from fuzzifying the deterministic solutions. Then by using the continuity of the Zadeh’s extension principle combining with numerical simulations for α−cuts of fuzzy solutions, we give some representations of the surfaces of fuzzy solutions.