Computing real solutions of fuzzy polynomial systems

Aubry Philippe; Marrez Jeremy; Valibouze Annick

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Computing real solutions of fuzzy polynomial systems

机译：计算模糊多项式系统的真实解

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摘要

This paper presents an efficient algorithm called SolveFuzzySystem, or SFS, for finding real solutions of polynomial systems whose coefficients are symmetrical L-R fuzzy numbers with bounded support for which the spread functions L and R are bijective. The real solutions of such a system are deduced from solutions of some polynomial systems with real coefficients. This algorithm is based on new results that are universal because they are independent from the spread functions. These theoretical results include the management of the fuzzy system's solutions signs. An implementation in the Fuzzy package of the free computer algebra software SageMath and a parallel version of the algorithm are described. (C) 2020 Elsevier B.V. All rights reserved.

机译：本文介绍了一种有效的算法，称为SolveFuzzySystem或SFS，用于查找多项式系统的实际解决方案，其系数是具有有界支持的与对称的L-R模糊数字，扩散功能L和R是基于基础的。这种系统的真实解决方案被推导出具有实际系数的一些多项式系统的解决方案。该算法基于普遍的新结果，因为它们与扩展功能无关。这些理论结果包括模糊系统的解决方案标志的管理。描述了在算法的自由计算机代数软件Sagemath和并行版本的模糊包中的实现。（c）2020 Elsevier B.v.保留所有权利。

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来源
《Fuzzy sets and systems》 |2020年第15期|55-76|共22页
作者
Aubry Philippe; Marrez Jeremy; Valibouze Annick;
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作者单位

Sorbonne Univ CNRS Lab Informat Paris 6 LIP6 F-75005 Paris France;

Sorbonne Univ CNRS Lab Informat Paris 6 LIP6 F-75005 Paris France;

Sorbonne Univ CNRS Lab Informat Paris 6 LIP6 F-75005 Paris France|Sorbonne Univ CNRS Lab Probabilites Stat & Modelisat LPSM F-75005 Paris France;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Fuzzy numbers; Fuzzy systems; Fuzzy mathematical programming; Polynomial systems;

机译：模糊数;模糊系统;模糊数学规划;多项式系统;

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Computing real solutions of fuzzy polynomial systems

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