A Decomposition Theorem for the Fuzzy Henstock Integral

Risultato della ricerca: Article

11 Citazioni (Scopus)

Abstract

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.
Lingua originaleEnglish
pagine (da-a)36-47
Numero di pagine12
RivistaDefault journal
Volume200
Stato di pubblicazionePublished - 2012

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Decomposition Theorem
Fuzzy numbers
Decomposition
McShane Integral
Fuzzy Integral

All Science Journal Classification (ASJC) codes

  • Logic
  • Artificial Intelligence

Cita questo

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

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AU - Bongiorno, Benedetto

AU - Musiał, Kazimierz

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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.

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KW - Fuzzy Henstock integral

KW - Henstock-Kurzweil and McShane equiintegrability

KW - fuzzy McShane integral

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