Results 1 to 10 of about 4,289 (134)
Some New Versions of Hermite–Hadamard Integral Inequalities in Fuzzy Fractional Calculus for Generalized Pre-Invex Functions via Fuzzy-Interval-Valued Settings [PDF]
Fractal and Fractional, 2022 The purpose of this study is to prove the existence of fractional integral inclusions that are connected to the Hermite–Hadamard and Hermite–Hadamard–Fejér type inequalities for χ-pre-invex fuzzy-interval-valued functions.
Muhammad Bilal Khan +4 more
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Axioms, 2022 New results concerning fuzzy differential subordination theory are obtained in this paper using the operator denoted by Dz−λLαn, previously introduced by applying the Riemann–Liouville fractional integral to the convex combination of well-known ...
Alina Alb Lupaş
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Mathematics, 2023 In this research, we combine ideas from geometric function theory and fuzzy set theory. We define a new operator Dτ−λLα,ζm:A→A of analytic functions in the open unit disc Δ with the help of the Riemann–Liouville fractional integral operator, the linear ...
Daniel Breaz +3 more
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International Journal of Computational Intelligence Systems, 2022 The framework of fuzzy-interval-valued functions (FIVFs) is a generalization of interval-valued functions (IVF) and single-valued functions. To discuss convexity with these kinds of functions, in this article, we introduce and investigate the ...
Muhammad Bilal Khan +4 more
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Mathematics, 2023 We propose the concept of up and down harmonically convex mapping for fuzzy-number-valued mapping as our main goal in this work. With the help of up and down harmonically fuzzy-number convexity and the fuzzy fractional integral operator, we also show the
Muhammad Bilal Khan +4 more
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Some Fuzzy Riemann–Liouville Fractional Integral Inequalities for Preinvex Fuzzy Interval-Valued Functions [PDF]
Symmetry, 2022 The main objective of this study is to introduce new versions of fractional integral inequalities in fuzzy fractional calculus utilizing the introduced preinvexity. Due to the behavior of its definition, the idea of preinvexity plays a significant role in the subject of inequalities.
Muhammad Bilal Khan +2 more
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Mathematics, 2022 This study uses fuzzy order relations to examine Hermite–Hadamard inequalities (𝐻𝐻-inequalities) for convex fuzzy-number-valued mappings (FNVMs). The Kulisch–Miranker order relation, which is based on interval space, is used to define this fuzzy order ...
Muhammad Bilal Khan +3 more
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International Journal of Computational Intelligence Systems, 2022 In this study, we use the fuzzy order relation to show some novel variants of Hermite–Hadamard inequalities for pre-invex fuzzy-interval-valued mappings (F-I∙V-Ms), which we term fuzzy-interval Hermite–Hadamard inequalities and fuzzy-interval Hermite ...
Muhammad Bilal Khan +4 more
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Symmetry, 2022 Studies regarding the two dual notions are conducted in this paper using Riemann–Liouville fractional integral of q-hypergeometric function for obtaining certain fuzzy differential subordinations and superordinations. Fuzzy best dominants and fuzzy best subordinants are given in the theorems investigating fuzzy differential subordinations and ...
Alb Lupas Daciana Alina +1 more
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Evaluate Fuzzy Riemann Integrals Using the Monte Carlo Method
Journal of Mathematical Analysis and Applications, 2001 Consider a function \(\widetilde f\) defined on the real line whose values are fuzzy numbers. The fuzzy Riemann integral of \(\widetilde f\) is a fuzzy set whose membership function is \(\xi(r)= \sup_{0\leq\alpha\leq 1}\alpha 1_{A_\alpha}(r)\), where \[ A_\alpha= \Biggl[\int^b_a\widetilde f^L_\alpha(x) dx,\;\int^b_a\widetilde f^R_\alpha(x) dx\Biggr] \]
Hsien-Chung Wu
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