Characterizations for Matrices of Dominant Support Parameters in Soft Sets

Characterizations for Matrices of Dominant Support Parameters in Soft Sets
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软集中主导支持参数矩阵的表征

DOI:
10.1109/access.2020.3045737
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发表时间:
2020
期刊:
影响因子:
3.9
通讯作者:
Geng Shengling
Geng Shengling
中科院分区:
计算机科学3区
文献类型:
--
作者:
Han Banghe;Nie Xinyu;Wu Ruize;Geng Shengling

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The matrix of dominant support parameters plays an important role in solving the normal and pseudo parameter reduction problems for soft sets. This article aims to make a fundamental investigation on the properties of matrix of dominant support parameters. Firstly, we obtain some basic structural and quantitative properties. Then we give some retrieving algorithms and filling algorithms for computing the initial soft sets and the matrix itself by using only part of the matrix. Next we propose some characterization theorems to check which kind of set-valued matrices can be induced by a soft set as its matrix of dominant support parameters. Finally, we make a comparison between the matrix of dominant support parameters and the soft discernibility matrix. It’s shown that the matrix of dominant support parameters has its own characteristic and can represent the soft discernibility matrix in a simple way. An alternative and simple procedure for computing the order relations with the matrix of dominant support parameters is brought in.
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