4 research outputs found
Pettis integrability of fuzzy mappings with values in arbitrary Banach spaces
In this paper we study the Pettis integral of fuzzy mappings in arbitrary
Banach spaces. We present some properties of the Pettis integral of fuzzy
mappings and we give conditions under which a scalarly integrable fuzzy mapping
is Pettis integrable
A Decomposition Theorem for the Fuzzy Henstock Integral
We study the fuzzy Henstock and the fuzzy McShane integrals for fuzzy-number valued functions. The main purpose
of this paper is to establish the following decomposition theorem: a fuzzy-number valued function is fuzzy Henstock integrable if and only if
it can be represented as a sum of a fuzzy McShane integrable fuzzy-number valued function and
of a fuzzy Henstock integrable fuzzy number valued function generated by a Henstock integrable function