Generalized p-Convex Fuzzy-Interval-Valued Functions and Inequalities Based upon the Fuzzy-Order Relation

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dc.authoridTreanta, Savin/0000-0001-8209-3869
dc.authoridKhan, Muhammad Bilal/0000-0001-7450-8067
dc.authorwosidKhan, Muhammad bilal/GPX-0837-2022
dc.contributor.authorKhan, Muhammad Bilal
dc.contributor.authorTreanta, Savin
dc.contributor.authorBudak, Hüseyin
dc.date.accessioned2023-07-26T11:55:06Z
dc.date.available2023-07-26T11:55:06Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractConvexity is crucial in obtaining many forms of inequalities. As a result, there is a significant link between convexity and integral inequality. Due to the significance of these concepts, the purpose of this study is to introduce a new class of generalized convex interval-valued functions called <mml:semantics>(p,s)</mml:semantics>-convex fuzzy interval-valued functions (<mml:semantics>(p,s)</mml:semantics>-convex F-I-V-Fs) in the second sense and to establish Hermite-Hadamard (H-H) type inequalities for <mml:semantics>(p,s)</mml:semantics>-convex F-I-V-Fs using fuzzy order relation. In addition, we demonstrate that our results include a large class of new and known inequalities for <mml:semantics>(p,s)</mml:semantics>-convex F-I-V-Fs and their variant forms as special instances. Furthermore, we give useful examples that demonstrate usefulness of the theory produced in this study. These findings and diverse approaches may pave the way for future research in fuzzy optimization, modeling, and interval-valued functions.en_US
dc.identifier.doi10.3390/fractalfract6020063
dc.identifier.issn2504-3110
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85123754853en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/fractalfract6020063
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12997
dc.identifier.volume6en_US
dc.identifier.wosWOS:000811834600001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBudak, Hüseyin
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofFractal and Fractionalen_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; S)-Convex Fuzzy-Interval-Valued Function; Fuzzy Riemann Integral; Jensen Type Inequality; Schur Type Inequality; Hermite-Hadamard Type Inequality; Hermite-Hadamard-Fejer Type Inequalityen_US
dc.subjectIntegral-Inequalities; Fractional Integralsen_US
dc.titleGeneralized p-Convex Fuzzy-Interval-Valued Functions and Inequalities Based upon the Fuzzy-Order Relationen_US
dc.typeArticleen_US

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