The characterizations of McShane integral and Henstock integrals for fuzzy-number-valued functions with a small Riemann sum on a small set

摘要

In this paper, we shall characterize McShane integral and Henstock integral of fuzzy-number-valued functions by Riemann-type integral of fuzzy-number-valued functions with a small Riemann sum on a small set, and the results show that McShane integral (Benstock integrals) of fuzzy-number-valued functions could be represented by Riemann integral (McShane integral) with a small Riemann sum on a small set, respectively.