分数矢量控制问题的效率准则

IF 2.4 Q3 MANAGEMENT

Journal of Multi-Criteria Decision Analysis Pub Date : 2025-09-28 DOI:10.1002/mcda.70017

Octavian Postavaru, Antonela Toma, Savin Treanţă

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引用次数: 0

摘要

本文推导并验证了具有多重积分的多目标分数控制问题达到最优性的充分必要条件。这些问题是用分数阶微积分来分析的，特别是Riemann-Liouville积分，它将传统的整数阶积分推广到非整数阶，允许更灵活地建模现实世界的系统。在拟指数假设下，给出了可行解有效的充分条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Efficiency Criteria in Fractional Vector Control Problems

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Efficiency Criteria in Fractional Vector Control Problems

The necessary and sufficient conditions for achieving optimality in multiobjective fractional control problems with multiple integrals are derived and verified in this study. These problems are analysed using fractional calculus, particularly the Riemann–Liouville integral, which generalises traditional integer-order integrals to non-integer orders, allowing for more flexible modelling of real-world systems. Under the assumption of quasiinvexity, we present adequate conditions for the efficiency of feasible solutions.

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来源期刊

Journal of Multi-Criteria Decision Analysis MANAGEMENT-

CiteScore

4.70

自引率

10.00%

发文量

期刊介绍： The Journal of Multi-Criteria Decision Analysis was launched in 1992, and from the outset has aimed to be the repository of choice for papers covering all aspects of MCDA/MCDM. The journal provides an international forum for the presentation and discussion of all aspects of research, application and evaluation of multi-criteria decision analysis, and publishes material from a variety of disciplines and all schools of thought. Papers addressing mathematical, theoretical, and behavioural aspects are welcome, as are case studies, applications and evaluation of techniques and methodologies.