Lebesgue Decomposition Theorem and Weak Radon-Nikodým Theorem for Generalized Fuzzy Number Measures

The Lebesgue type decomposition theorem and weak Radon-Nikodým theorem for fuzzy valued measures in separable Banach spaces are established.

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Main Authors: Cai-Li Zhou, Fu-Gui Shi
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/576134
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author Cai-Li Zhou
Fu-Gui Shi
author_facet Cai-Li Zhou
Fu-Gui Shi
author_sort Cai-Li Zhou
collection DOAJ
description The Lebesgue type decomposition theorem and weak Radon-Nikodým theorem for fuzzy valued measures in separable Banach spaces are established.
format Article
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institution Kabale University
issn 2314-8896
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language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-941f8d846e8a4878a5e9c18cc69b14082025-02-03T01:11:43ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/576134576134Lebesgue Decomposition Theorem and Weak Radon-Nikodým Theorem for Generalized Fuzzy Number MeasuresCai-Li Zhou0Fu-Gui Shi1College of Mathematics and Information Science, Hebei University, Baoding 071002, ChinaSchool of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, ChinaThe Lebesgue type decomposition theorem and weak Radon-Nikodým theorem for fuzzy valued measures in separable Banach spaces are established.http://dx.doi.org/10.1155/2015/576134
spellingShingle Cai-Li Zhou
Fu-Gui Shi
Lebesgue Decomposition Theorem and Weak Radon-Nikodým Theorem for Generalized Fuzzy Number Measures
Journal of Function Spaces
title Lebesgue Decomposition Theorem and Weak Radon-Nikodým Theorem for Generalized Fuzzy Number Measures
title_full Lebesgue Decomposition Theorem and Weak Radon-Nikodým Theorem for Generalized Fuzzy Number Measures
title_fullStr Lebesgue Decomposition Theorem and Weak Radon-Nikodým Theorem for Generalized Fuzzy Number Measures
title_full_unstemmed Lebesgue Decomposition Theorem and Weak Radon-Nikodým Theorem for Generalized Fuzzy Number Measures
title_short Lebesgue Decomposition Theorem and Weak Radon-Nikodým Theorem for Generalized Fuzzy Number Measures
title_sort lebesgue decomposition theorem and weak radon nikodym theorem for generalized fuzzy number measures
url http://dx.doi.org/10.1155/2015/576134
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