Generalized p-Convex Fuzzy-Interval-Valued Functions and Inequalities Based upon the Fuzzy-Order Relation
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Dosyalar
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Convexity 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.
Açıklama
Anahtar Kelimeler
(P; S)-Convex Fuzzy-Interval-Valued Function; Fuzzy Riemann Integral; Jensen Type Inequality; Schur Type Inequality; Hermite-Hadamard Type Inequality; Hermite-Hadamard-Fejer Type Inequality, Integral-Inequalities; Fractional Integrals
Kaynak
Fractal and Fractional
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
6
Sayı
2
