Results 11 to 20 of about 1,160,362 (285)
The descriptive set-theoretic complexity of the set of points of continuity of a multi-valued function [PDF]
Logical Methods in Computer Science, 2011 In this article we treat a notion of continuity for a multi-valued function $F$ and we compute the descriptive set-theoretic complexity of the set of all $x$ for which $F$ is continuous at $x$.
Vassilios Gregoriades
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The descriptive set-theoretic complexity of the set of points of continuity of a multi-valued function (Extended Abstract) [PDF]
Electronic Proceedings in Theoretical Computer Science, 2010 In this article we treat a notion of continuity for a multi-valued function F and we compute the descriptive set-theoretic complexity of the set of all x for which F is continuous at x.
Vassilios Gregoriades
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Applied Computational Intelligence and Soft Computing, 2021 Hypersoft set is an emerging field of study that is meant to address the insufficiency and the limitation of existing soft-set-like models regarding the consideration and the entitlement of multi-argument approximate function.
Atiqe Ur Rahman +3 more
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Quantitative Stability of Optimization Problems with Stochastic Constraints
Mathematics, 2023 In this paper, we consider optimization problems with stochastic constraints. We derive quantitative stability results for the optimal value function, the optimal solution set and the feasible solution set of optimization models in which the underlying ...
Wei Ouyang, Kui Mei
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Set-Valued Functions of Bounded Generalized Variation and Set-Valued Young Integrals [PDF]
Journal of Theoretical Probability, 2020 AbstractThe paper deals with some properties of set-valued functions having bounded Riesz p-variation. Set-valued integrals of Young type for such multifunctions are introduced. Selection results and properties of such set-valued integrals are discussed.
Mariusz Michta, Jerzy Motyl
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Integration of compact set-valued functions [PDF]
Pacific Journal of Mathematics, 1975 provided by applying the McShane ^-integral. This integral is a Riemann-type integral and includes the Bochner, Lebesgue and other types of integrals, and by using Riemann sums it avoids deep measure theory. Thus, the ^-integral of set-valued functions contains other types of integrals such as the Hukuhara and Debreu integrals. Generalizations of known
Artstein, Zvi, Burns, John A.
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Alienation of the Set-Valued Drygas-Additive and Quadratic-Additive Functional Equations [PDF]
Sahand Communications in Mathematical AnalysisConsider $Y$ as a real Hausdorff topological vector space and $(G,+)$ as a Abelian group uniquely divisible by 2. In this paper, the solutions and stability of the Pexiderized set-valued functional equations\begin{align*} f(x+y)+f(x-y)+g(x+y)&=2f(x)+
Elham Mohammadi +2 more
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Distance-Based Knowledge Measure and Entropy for Interval-Valued Intuitionistic Fuzzy Sets
Mathematics, 2023 The knowledge measure or uncertainty measure for constructing interval-valued intuitionistic fuzzy sets has attracted much attention. However, many uncertainty measures are measured by the entropy of interval-valued intuitionistic fuzzy sets, which ...
Chunfeng Suo, Xuanchen Li, Yongming Li
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Error bounds for mixed set-valued vector inverse quasi-variational inequalities
Journal of Inequalities and Applications, 2020 The purpose of this paper is to introduce and study the mixed set-valued vector inverse quasi-variational inequality problems (MSVIQVIPs) and to obtain error bounds for this kind of MSVIQVIP in terms of the residual gap function, the regularized gap ...
Shih-sen Chang +4 more
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Strong Integer Additive Set-valued Graphs: A Creative Review [PDF]
, 2015 For a non-empty ground set $X$, finite or infinite, the {\em set-valuation} or {\em set-labeling} of a given graph $G$ is an injective function $f:V(G) \to \mathcal{P}(X)$, where $\mathcal{P}(X)$ is the power set of the set $X$. A set-indexer of a graph $
K. A. Germina +3 more
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