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Interval-Valued Pseudo Overlap Functions and Application
Axioms, 2022 A class of interval-valued OWA operators can be constructed from interval-valued overlap functions with interval-valued weights, which plays an important role in solving multi-attribute decision making (MADM) problems considering interval numbers as ...
Rong Liang, Xiaohong Zhang
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On Interval-Valued Pseudolinear Functions and Interval-Valued Pseudolinear Optimization Problems [PDF]
Journal of Function Spaces, 2015 Some basic characterizations of an interval-valued pseudolinear function are derived. By means of the properties of interval-valued pseudolinearity, a class of interval-valued pseudolinear programs is considered, and the solution set of the interval ...
Jianke Zhang +4 more
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Expansion of Generalized Hukuhara Differentiable Interval Valued Function [PDF]
New Mathematics and Natural Computation, 2019 In this paper, the concept of [Formula: see text]-monotonic property of interval valued function in higher dimension is introduced. Expansion of interval valued function in higher dimension is developed using this property.
Priyanka Roy, G. Panda
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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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Hermite-Hadamard-Type Fractional Inclusions for Interval-Valued Preinvex Functions
Mathematics, 2022 We introduce a new class of interval-valued preinvex functions termed as harmonically h-preinvex interval-valued functions. We establish new inclusion of Hermite–Hadamard for harmonically h-preinvex interval-valued function via interval-valued Riemann ...
Kin Keung Lai +3 more
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Some Hadamard–Fejér Type Inequalities for LR-Convex Interval-Valued Functions
Fractal and Fractional, 2021 The purpose of this study is to introduce the new class of Hermite–Hadamard inequality for LR-convex interval-valued functions known as LR-interval Hermite–Hadamard inequality, by means of pseudo-order relation ( ≤p ).
Muhammad Bilal Khan +4 more
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Journal of Inequalities and Applications, 2021 In this paper, we introduce ( h 1 , h 2 ) $(h_{1},h_{2})$ -preinvex interval-valued function and establish the Hermite–Hadamard inequality for preinvex interval-valued functions by using interval-valued Riemann–Liouville fractional integrals.
Nidhi Sharma +3 more
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Mathematics, 2021 In this article, firstly, we establish a novel definition of weighted interval-valued fractional integrals of a function Υ˘ using an another function ϑ(ζ˙).
Humaira Kalsoom +3 more
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Constructive Approximation of Continuous Interval-Valued Functions
Numerical Functional Analysis and Optimization, 2021 In this paper we present a Stone-Weierstrass type result in the context of continuous interval-valued functions defined on a compact Hausdorff space. Namely, we provide a constructive proof of the approximation.
Juan J. Font, Sergio Macario
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Ekeland’s variational principle for interval-valued functions
Computational and Applied Mathematics, 2023 In this paper, we attempt to propose Ekeland's variational principle for interval-valued functions (IVFs). To develop the variational principle, we study the concept of sequence of intervals. In the sequel, the idea of gH-semicontinuity for IVFs is explored.
Gourav Kumar, Debdas Ghosh
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