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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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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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Enabling Explainable Fusion in Deep Learning with Fuzzy Integral Neural Networks [PDF]
IEEE transactions on fuzzy systems, 2019 Information fusion is an essential part of numerous engineering systems and biological functions, e.g., human cognition. Fusion occurs at many levels, ranging from the low-level combination of signals to the high-level aggregation of heterogeneous ...
Anderson, Derek T. +5 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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Hermite–Hadamard-Type Inequalities for Coordinated Convex Functions Using Fuzzy Integrals
Mathematics, 2023 In this paper, some estimates of third and fourth inequalities in Hermite–Hadamard-type inequalities for coordinated convex functions are proved using the non-additivity of the integrals and Fubini’s theorem for fuzzy integrals.
Muhammad Amer Latif
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Study on Some Integral Inequalities for Pseudo-Integrals [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, we express and prove Stolarsky, Feng Qi and Markov type inequalities for two classes of pseudo-integrals. One of them concerning the pseudo-integrals based on a function reduces on the g-integral where pseudo-operations are defined by a ...
Bayaz Daraby
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A Version of Favard's Inequality for the Sugeno Integral [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we present a version of Favard's inequality for special case and then generalize it for the Sugeno integral in fuzzy measure space $(X,Sigma,mu)$, where $mu$ is the Lebesgue measure. We consider two cases, when our function is concave and
Bayaz Daraby +2 more
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AIMS Mathematics, 2023 This paper investigates the global asymptotic stability problem for a class of quaternion-valued Takagi-Sugeno fuzzy BAM neural networks with time-varying delays.
R. Sriraman +4 more
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Some Integral Inequalities for Generalized Convex Fuzzy-Interval-Valued Functions via Fuzzy Riemann Integrals [PDF]
International Journal of Computational Intelligence Systems, 2021 AbstractIn this study, we introduce the new concept of $$h$$ h -convex fuzzy-interval-valued functions. Under the new concept, we present new versions of Hermite–Hadamard inequalities (H–H inequalities) are called fuzzy-interval Hermite–Hadamard type inequalities for $$h$$ h -convex ...
Muhammad Bilal Khan +4 more
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Some New Classes of Preinvex Fuzzy-Interval-Valued Functions and Inequalities
International Journal of Computational Intelligence Systems, 2021 It is well known that convexity and nonconvexity develop a strong relationship with different types of integral inequalities. Due to the importance of the concept of nonconvexity and integral inequality, in this paper, we present some new classes of ...
Muhammad Bilal Khan +3 more
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