Abstract
| Lingua originale | English |
|---|---|
| pagine (da-a) | 36-47 |
| Numero di pagine | 12 |
| Rivista | Default journal |
| Volume | 200 |
| Stato di pubblicazione | Published - 2012 |
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All Science Journal Classification (ASJC) codes
- Logic
- Artificial Intelligence
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A Decomposition Theorem for the Fuzzy Henstock Integral. / Di Piazza, Luisa; Bongiorno, Benedetto; Musiał, Kazimierz.
In: Default journal, Vol. 200, 2012, pag. 36-47.Risultato della ricerca: Article
}
TY - JOUR
T1 - A Decomposition Theorem for the Fuzzy Henstock Integral
AU - Di Piazza, Luisa
AU - Bongiorno, Benedetto
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
UR - http://hdl.handle.net/10447/63318
M3 - Article
VL - 200
SP - 36
EP - 47
JO - Default journal
JF - Default journal
ER -