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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 Properties of the Choquet Integral of Interval-Valued Functions [PDF]
Journal of Applied Mathematics, 2011 Based on the concept of an interval-valued function which is motivated by the goal to represent an uncertain function, we define the Choquet integral with respect to a fuzzy measure of interval-valued functions.
Lee-Chae Jang
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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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On preinvex interval-valued functions and unconstrained interval-valued optimization problems
RAIRO - Operations Research, 2023 The main objective of this paper is to investigate the generalized convexity of interval-valued functions under the total order relation and apply it to a class of unconstrained interval-valued optimization problems. For this purpose, we present the new definition of preinvex interval-valued functions and obtain its several fascinating ...
Fangfang Shi +3 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 new results on interval-valued volterra integro-differential equations for caputo fractional derivative [PDF]
Scientific ReportsVolterra integro differential equations are one of the necessary tools to discuss the framework of modeling systems with memory and nonlinear behaviors comprehensively, which commonly appear in several engineering and scientific applications.
Saima Noureen +2 more
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Chebyshev type inequalities for interval-valued functions
Fuzzy Sets and Systems, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dafang Zhao, Tianqing An, Guoju Ye
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International Journal of Approximate Reasoning, 2017 In this work we extend to the interval-valued setting the notion of an overlap functions and we discuss a method which makes use of interval-valued overlap functions for constructing OWA operators with interval-valued weights. . Some properties of interval-valued overlap functions and the derived interval-valued OWA operators are analysed. We specially
Graçaliz Dimuro +2 more
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New Jensen and Hermite–Hadamard type inequalities for h-convex interval-valued functions
Journal of Inequalities and Applications, 2018 In this paper, we introduce the h-convex concept for interval-valued functions. By using the h-convex concept, we present new Jensen and Hermite–Hadamard type inequalities for interval-valued functions. Our inequalities generalize some known results.
Dafang Zhao +3 more
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On Monotonicities of Interval Valued Functions
CoRR, 2022 3 ...
Ana Shirley Monteiro +4 more
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