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Fuzzy-interval inequalities for generalized convex fuzzy-interval-valued functions via fuzzy Riemann integrals

dc.contributor.authorKhan, Muhammad Bilal
dc.contributor.authorSrivastava, Hari Mohan
dc.contributor.authorMohammed, Pshtiwan Othman
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorJawa, Taghreed M.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-05-11T10:52:51Z
dc.date.available2022-05-11T10:52:51Z
dc.date.issued2022
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe objective of the authors is to introduce the new class of convex fuzzy-interval-valued functions (convex-FIVFs), which is known as p-convex fuzzy-interval-valued functions(p-convex-FIVFs). Some of the basic properties of the proposed fuzzy-interval-valued functions are also studied. With the help of p-convex FIVFs, we have presented some Hermite-Hadamard type inequalities (H-H type inequalities), where the integrands are FIVFs. Moreover, we have also proved the Hermite-Hadamard-Fejér type inequality (H-H Fejér type inequality) for p-convex-FIVFs. To prove the validity of main results, we have provided some useful examples. We have also established some discrete form of Jense’s type inequality and Schur’s type inequality for p-convex-FIVFs. The outcomes of this paper are generalizations and refinements of different results which are proved in literature. These results and different approaches may open new direction for fuzzy optimization problems, modeling, and interval-valued functions.©2022 the Author(s), licensee AIMS Press. © 2022, American Institute of Mathematical Sciences. All rights reserved.en_US
dc.identifier.citationKhan, Muhammad Bilal...et al. (2022). "Fuzzy-interval inequalities for generalized convex fuzzy-interval-valued functions via fuzzy Riemann integrals", AIMS Mathematics, Vol. 7, No. 1, pp. 1507-1535.en_US
dc.identifier.doi10.3934/math.2022089
dc.identifier.endpage1535en_US
dc.identifier.issn2473-6988
dc.identifier.issue1en_US
dc.identifier.startpage1507en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5495
dc.identifier.volume7en_US
dc.language.isoenen_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFuzzy Riemann Integralen_US
dc.subjectHermite-Hadamard Inequalityen_US
dc.subjectHermite-Hadamard-Fejér Inequalityen_US
dc.subjectJense’s Type Inequalityen_US
dc.subjectP-Convex Fuzzy-Interval-Valued Functionen_US
dc.subjectSchur’s Type Inequalityen_US
dc.titleFuzzy-interval inequalities for generalized convex fuzzy-interval-valued functions via fuzzy Riemann integralstr_TR
dc.titleFuzzy-Interval Inequalities for Generalized Convex Fuzzy-Interval Functions Via Fuzzy Riemann Integralsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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