A Decomposition Theorem for the Fuzzy Henstock Integral

Luisa Di Piazza; Benedetto Bongiorno; Kazimierz Musiał

A Decomposition Theorem for the Fuzzy Henstock Integral

Luisa Di Piazza, Benedetto Bongiorno, Kazimierz Musiał

Matematica e Informatica

Risultato della ricerca: Article

12 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 originale	English
pagine (da-a)	36-47
Numero di pagine	12
Rivista	Fuzzy Sets and Systems
Volume	200
Stato di pubblicazione	Published - 2012

All Science Journal Classification (ASJC) codes

Logic
Artificial Intelligence

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Di Piazza, L., Bongiorno, B., & Musiał, K. (2012). A Decomposition Theorem for the Fuzzy Henstock Integral. Fuzzy Sets and Systems, 200, 36-47.

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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.

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

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VL - 200

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EP - 47

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