A Decomposition Theorem for the Fuzzy Henstock Integral

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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
RivistaFuzzy Sets and Systems
Volume200
Stato di pubblicazionePublished - 2012

All Science Journal Classification (ASJC) codes

  • Logic
  • Artificial Intelligence

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