TY - JOUR
T1 - A Decomposition Theorem for the Fuzzy Henstock Integral
AU - Bongiorno, Benedetto
AU - Di Piazza, Luisa
AU - Musiał, Kazimierz
PY - 2012
Y1 - 2012
N2 - 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 ifit 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.
AB - 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 ifit 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.
KW - Fuzzy Henstock integral
KW - Henstock-Kurzweil and McShane equiintegrability
KW - fuzzy McShane integral
KW - Fuzzy Henstock integral
KW - Henstock-Kurzweil and McShane equiintegrability
KW - fuzzy McShane integral
UR - http://hdl.handle.net/10447/63318
M3 - Article
VL - 200
SP - 36
EP - 47
JO - Fuzzy Sets and Systems
JF - Fuzzy Sets and Systems
SN - 0165-0114
ER -