Convergence analysis of solutions to fuzzy weak vector quasi-equilibrium problems and applications

IF 2.4 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Computational and Applied Mathematics Pub Date : 2026-10-01 Epub Date: 2026-02-21 DOI:10.1016/j.cam.2026.117502

Nguyen Van Hung , Nguyen Huynh Vu Duy , Jen Chih Yao , Shengda Zeng

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引用次数: 0

Abstract

The goal of this paper is to study the convergence analysis of solution sets to fuzzy weak vector quasi-equilibrium problems. Firstly, we introduce some weak vector quasi-equilibrium problems in fuzzy environment. Secondly, we establish several sufficient conditions for the upper convergence for these problems. Thirdly, the auxiliary subsets of solution sets to fuzzy weak vector quasi-equilibrium problems and the concept of weakly K-quasi-concavity of the objective function are obtained. Results on the lower convergence and convergence of the solution sets based on the auxiliary subsets and the concept of weakly K-quasi-concavity for fuzzy weak vector quasi-equilibrium problems are established and studied. Finally, as an application, we consider the upper convergence, lower convergence and convergence of the solution sets of fuzzy vector quasi-optimization problems. Our results in this paper are new and different from some main results in the literature. Many examples are given for the illustration of our results.

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模糊弱向量拟平衡问题解的收敛性分析及其应用

本文研究模糊弱向量拟平衡问题解集的收敛性分析。首先，我们引入了模糊环境下的弱向量拟平衡问题。其次，我们建立了这些问题上收敛的几个充分条件。第三，给出了模糊弱向量拟平衡问题解集的辅助子集以及目标函数的弱k -拟凹性的概念。建立并研究了模糊弱向量拟平衡问题的下收敛性和基于辅助子集的解集的收敛性以及弱k -拟凹性的概念。最后，作为应用，我们考虑了模糊向量拟优化问题解集的上收敛性、下收敛性和收敛性。我们的结果是新的，不同于一些主要的文献结果。给出了许多例子来说明我们的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Computational and Applied Mathematics 数学-应用数学

CiteScore

5.40

自引率

4.20%

发文量

437

审稿时长

3.0 months

期刊介绍： The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.