Bellman Type Inequality for Sugeno Integrals

In this paper, we prove  Bellman type inequality for Sugeno integral and generalize it for pseudo-integrals. Furthermore, we generalize the Bellman's inequality in abstract spaces. The strengthened version of this inequality is demonstrated in pseudo-integrals and abstract spaces. Also, we illu...

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Main Authors: Bayaz Daraby, Ramin Mosalman
Format: Article
Language:English
Published: University of Maragheh 2025-04-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Online Access:https://scma.maragheh.ac.ir/article_721623_6d1c7ed007f6838bb766b088c9ceb0b4.pdf
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author Bayaz Daraby
Ramin Mosalman
author_facet Bayaz Daraby
Ramin Mosalman
author_sort Bayaz Daraby
collection DOAJ
description In this paper, we prove  Bellman type inequality for Sugeno integral and generalize it for pseudo-integrals. Furthermore, we generalize the Bellman's inequality in abstract spaces. The strengthened version of this inequality is demonstrated in pseudo-integrals and abstract spaces. Also, we illustrate theorems with some examples.
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institution OA Journals
issn 2322-5807
2423-3900
language English
publishDate 2025-04-01
publisher University of Maragheh
record_format Article
series Sahand Communications in Mathematical Analysis
spelling doaj-art-7058d204e2cf40d3b956e8a15a3de3542025-08-20T02:12:33ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002025-04-0122229130610.22130/scma.2025.2039070.1856721623Bellman Type Inequality for Sugeno IntegralsBayaz Daraby0Ramin Mosalman1Department of Mathematics, Maragheh University, P.O. Box 55181-83111, Maragheh, Iran.Department of Mathematics, Maragheh University, P.O. Box 55181-83111, Maragheh, Iran.In this paper, we prove  Bellman type inequality for Sugeno integral and generalize it for pseudo-integrals. Furthermore, we generalize the Bellman's inequality in abstract spaces. The strengthened version of this inequality is demonstrated in pseudo-integrals and abstract spaces. Also, we illustrate theorems with some examples.https://scma.maragheh.ac.ir/article_721623_6d1c7ed007f6838bb766b088c9ceb0b4.pdfbellman type inequalitysugeno integralpseudo-integralfuzzy integral inequality
spellingShingle Bayaz Daraby
Ramin Mosalman
Bellman Type Inequality for Sugeno Integrals
Sahand Communications in Mathematical Analysis
bellman type inequality
sugeno integral
pseudo-integral
fuzzy integral inequality
title Bellman Type Inequality for Sugeno Integrals
title_full Bellman Type Inequality for Sugeno Integrals
title_fullStr Bellman Type Inequality for Sugeno Integrals
title_full_unstemmed Bellman Type Inequality for Sugeno Integrals
title_short Bellman Type Inequality for Sugeno Integrals
title_sort bellman type inequality for sugeno integrals
topic bellman type inequality
sugeno integral
pseudo-integral
fuzzy integral inequality
url https://scma.maragheh.ac.ir/article_721623_6d1c7ed007f6838bb766b088c9ceb0b4.pdf
work_keys_str_mv AT bayazdaraby bellmantypeinequalityforsugenointegrals
AT raminmosalman bellmantypeinequalityforsugenointegrals