Chebyshev Weighted Type Integral Inequality in Fuzzy and Abstract Spaces
In this paper, we express and prove Chebyshev weighted type inequality for fuzzy integrals and in abstract spaces where the functions are strictly monotone functions. Furthermore, we have shown our results for n-th strictly monotone functions. The theorems are illustrated with several examples.
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-10-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_716188_893ce6c7ef2a6530d33f1299b49da56d.pdf |
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| author | Bayaz Daraby Zahra Vaezi |
| author_facet | Bayaz Daraby Zahra Vaezi |
| author_sort | Bayaz Daraby |
| collection | DOAJ |
| description | In this paper, we express and prove Chebyshev weighted type inequality for fuzzy integrals and in abstract spaces where the functions are strictly monotone functions. Furthermore, we have shown our results for n-th strictly monotone functions. The theorems are illustrated with several examples. |
| format | Article |
| id | doaj-art-a89524a1c9174bc190a5c77ec4605255 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-a89524a1c9174bc190a5c77ec46052552025-02-11T05:27:48ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-10-0121415517110.22130/scma.2024.2039069.1855716188Chebyshev Weighted Type Integral Inequality in Fuzzy and Abstract SpacesBayaz Daraby0Zahra Vaezi1Department of Mathematics, University of Maragheh, P. O. Box 55136-553, Maragheh, Iran.Department of Mathematics, University of Maragheh, P. O. Box 55136-553, Maragheh, Iran.In this paper, we express and prove Chebyshev weighted type inequality for fuzzy integrals and in abstract spaces where the functions are strictly monotone functions. Furthermore, we have shown our results for n-th strictly monotone functions. The theorems are illustrated with several examples.https://scma.maragheh.ac.ir/article_716188_893ce6c7ef2a6530d33f1299b49da56d.pdffuzzy measuresugeno integralstrictly monotone functionchebyshev weighted type inequalityfuzzy integral inequality |
| spellingShingle | Bayaz Daraby Zahra Vaezi Chebyshev Weighted Type Integral Inequality in Fuzzy and Abstract Spaces Sahand Communications in Mathematical Analysis fuzzy measure sugeno integral strictly monotone function chebyshev weighted type inequality fuzzy integral inequality |
| title | Chebyshev Weighted Type Integral Inequality in Fuzzy and Abstract Spaces |
| title_full | Chebyshev Weighted Type Integral Inequality in Fuzzy and Abstract Spaces |
| title_fullStr | Chebyshev Weighted Type Integral Inequality in Fuzzy and Abstract Spaces |
| title_full_unstemmed | Chebyshev Weighted Type Integral Inequality in Fuzzy and Abstract Spaces |
| title_short | Chebyshev Weighted Type Integral Inequality in Fuzzy and Abstract Spaces |
| title_sort | chebyshev weighted type integral inequality in fuzzy and abstract spaces |
| topic | fuzzy measure sugeno integral strictly monotone function chebyshev weighted type inequality fuzzy integral inequality |
| url | https://scma.maragheh.ac.ir/article_716188_893ce6c7ef2a6530d33f1299b49da56d.pdf |
| work_keys_str_mv | AT bayazdaraby chebyshevweightedtypeintegralinequalityinfuzzyandabstractspaces AT zahravaezi chebyshevweightedtypeintegralinequalityinfuzzyandabstractspaces |