Copy For Citation
Khan M. B., Treanta S., Budak H.
FRACTAL AND FRACTIONAL, no.2, 2022 (SCI-Expanded)
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Publication Type:
Article / Article
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Publication Date:
2022
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Doi Number:
10.3390/fractalfract6020063
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Journal Name:
FRACTAL AND FRACTIONAL
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, INSPEC, Directory of Open Access Journals
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Kocaeli University Affiliated:
No
Abstract
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 (p,s)-convex fuzzy interval-valued functions ((p,s)-convex F-I-V-Fs) in the second sense and to establish Hermite-Hadamard (H-H) type inequalities for (p,s)-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 (p,s)-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.