软关系和软函数的新方法

IF 2.6 3区数学 Computational and Applied Mathematics Pub Date : 2024-07-18 DOI:10.1007/s40314-024-02853-w

Adem Yolcu, Taha Yasin Ozturk, Sadi Bayramov

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引用次数: 0

摘要

本文采用了一种不同的方法来定义软集上的卡特积。这种方法同时处理备选方案和参数。然后，笛卡尔积的概念被用来定义软关系的概念。在软关系上定义了反射、对称和过渡的概念。对一些性质进行了研究。此外，还引入了软函数概念。在分析所呈现结构的关键特征时，提供了各种实例。最后，通过在软关系上建立决策算法介绍了一种应用。

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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A new approach to soft relations and soft functions

In this paper, a different approach is used to define a cartesian product on soft sets. This method processes both alternatives and parameters. The notion of the cartesian product is then used to define the idea of a soft relation. The concepts of reflexion, symmetry and transition are defined on the soft relation. Some properties are investigated. Also, the soft function notion is introduced. Various instances are provided as the key characteristics of the structures that are being presented are analyzed. Finally, an application is presented by building a decision making algorithm on the soft relation.

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来源期刊

Computational and Applied Mathematics MATHEMATICS, APPLIED-

自引率

11.50%

发文量

352

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.