A New Contribution in Fractional Integral Calculus and Inequalities over the Coordinated Fuzzy Codomain [PDF]
AxiomsThe correct derivation of integral inequalities on fuzzy-number-valued mappings depends on applying fractional calculus to fuzzy number analysis. The purpose of this article is to introduce a new class of convex mappings and generalize various previously
Zizhao Zhou +3 more
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Some New Properties of Exponential Trigonometric Convex Functions Using up and down Relations over Fuzzy Numbers and Related Inequalities through Fuzzy Fractional Integral Operators Having Exponential Kernels [PDF]
Fractal and Fractional, 2023 The concept of convexity is fundamental in order to produce various types of inequalities. Thus, convexity and integral inequality are closely related.
Muhammad Bilal Khan +3 more
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Harmonically Convex Fuzzy-Interval-Valued Functions and Fuzzy-Interval Riemann–Liouville Fractional Integral Inequalities [PDF]
International Journal of Computational Intelligence Systems, 2021 It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Gul Sana +4 more
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Up and Down
Axioms, 2022 The objective of the current paper is to incorporate the new class and concepts of convexity and Hermite–Hadamard inequality with the fuzzy Riemann integral operators because almost all classical single-valued and interval-valued convex functions are ...
Muhammad Bilal Khan +3 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 +4 more
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Weighted Fractional Hermite–Hadamard Integral Inequalities for up and down Ԓ-Convex Fuzzy Mappings over Coordinates [PDF]
Mathematics, 2023 Due to its significant influence on numerous areas of mathematics and practical sciences, the theory of integral inequality has attracted a lot of interest.
Muhammad Bilal Khan +5 more
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Chebyshev Weighted Type Integral Inequality in Fuzzy and Abstract Spaces [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we express and prove Chebyshev weighted type inequality for fuzzy integrals and in abstract spaces where the functions are strictly monotone functions. Furthermore, we have shown our results for n-th strictly monotone functions.
Bayaz Daraby, Zahra Vaezi
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Inequalities of Lyapunov and Stolarsky Type for Choquet-Like Integrals with respect to Nonmonotonic Fuzzy Measures [PDF]
Journal of Function Spaces, 2019 The aim of this paper is to generalize the Choquet-like integral with respect to a nonmonotonic fuzzy measure for generalized real-valued functions and set-valued functions, which is based on the generalized pseudo-operations and σ-⊕-measures ...
Ting Xie, Zengtai Gong
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Some New Estimates of Fuzzy Integral Inequalities for Harmonically Convex Fuzzy-Number-Valued Mappings via up and down Fuzzy Relation [PDF]
Axioms, 2023 In this article, the up and down harmonically convex fuzzy-number-valued mapping which is a novel kind of harmonically convex fuzzy-number-valued mapping is introduced.
Muhammad Bilal Khan +4 more
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Non-Fragile Observer-Based Adaptive Integral Sliding Mode Control for a Class of T-S Fuzzy Descriptor Systems With Unmeasurable Premise Variables [PDF]
Frontiers in Neurorobotics, 2022 The issue of non-fragile observer-based adaptive integral sliding mode control for a class of Takagi–Sugeno (T-S) fuzzy descriptor systems with uncertainties and unmeasurable premise variables is investigated. General nonlinear systems are represented by
Xiaorong Huang +4 more
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