Some new versions of jensen, schur and hermite-hadamard type inequalities for (P,j)-convex fuzzy-interval-valued functions

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dc.authorscopusid57221820598
dc.authorscopusid17343145200
dc.authorscopusid57038541500
dc.authorscopusid55235013800
dc.authorscopusid57211633301
dc.contributor.authorKhan, Muhammad Bilal
dc.contributor.authorSantos-García, G.
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorTreanta, Savin
dc.contributor.authorSoliman, M.S.
dc.date.accessioned2023-07-26T11:54:02Z
dc.date.available2023-07-26T11:54:02Z
dc.date.issued2023
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractTo create various kinds of inequalities, the idea of convexity is essential. Convexity and integral inequality hence have a significant link. This study's goals are to introduce a new class of generalized convex fuzzy-interval-valued functions (convex FIVFs) which are known as (p,J) -convex FIVFs and to establish Jensen, Schur and Hermite-Hadamard type inequalities for (p,J) -convex FIVFs using fuzzy order relation. The Kulisch-Miranker order relation, which is based on interval space, is used to define this fuzzy order relation level-wise. Additionally, we have demonstrated that, as special examples, our conclusions encompass a sizable class of both new and well-known inequalities for (p,J) -convex FIVFs. We offer helpful examples that demonstrate the theory created in this study's application. These findings and various methods might point the way in new directions for modeling, interval-valued functions and fuzzy optimization issues. © 2023, American Institute of Mathematical Sciences. All rights reserved.en_US
dc.description.sponsorshipThe Rector of COMSATS University Islamabad in Islamabad, Pakistan, is acknowledged by the writers for offering top-notch research and academic settingsen_US
dc.identifier.doi10.3934/math.2023374
dc.identifier.endpage7470en_US
dc.identifier.issn2473-6988
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85147022369en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage7437en_US
dc.identifier.urihttps://doi.org/10.3934/math.2023374
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12704
dc.identifier.volume8en_US
dc.identifier.wosWOS:000923463800010en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBudak, Hüseyin
dc.language.isoenen_US
dc.publisherAmerican Institute of Mathematical Sciencesen_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subject(p,J)-convex fuzzy-interval-valued functionen_US
dc.subjectFuzzy Riemann integralen_US
dc.subjectHermite-Hadamard type inequalityen_US
dc.subjectHermite-Hadamard-Fejér type inequalityen_US
dc.subjectJensen type inequalityen_US
dc.subjectSchur type inequalityen_US
dc.titleSome new versions of jensen, schur and hermite-hadamard type inequalities for (P,j)-convex fuzzy-interval-valued functionsen_US
dc.typeArticleen_US

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