ON CONVERGENCE THEOREMS FOR FUZZY HENSTOCK INTEGRALS

نویسندگان

1 Department of Mathematics, Sripat Singh College, Jiaganj-742123, Murshidabad, West Bengal, India

doi
10.22111/ijfs.2017.3499
چکیده

The main purpose of this paper is to establish different types of convergence theorems for fuzzy Henstock integrable functions, introduced by  Wu and Gong \cite{wu:hiff}. In fact, we have proved fuzzy uniform convergence theorem, convergence theorem for fuzzy uniform Henstock integrable functions and fuzzy monotone convergence theorem. Finally, a necessary and sufficient condition under which the point-wise limit of a sequence of fuzzy Henstock integrable functions is fuzzy Henstock integrable has been established.