Soft discernibility matrix and its applications in decision making
Soft discernibility matrix and its applications in decision making
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DOI：
10.1016/j.asoc.2014.08.042
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发表时间：
2014-11-01
影响因子：
8.7
通讯作者：
Zhou, Ying
中科院分区：
文献类型：
--
作者：
Feng, Qinrong;Zhou, Ying
在本文中，我们旨在通过在软集中引入软辨别矩阵来解决决策问题。首先，在软集合中引入了软辨别矩阵的概念，并研究了与软辨别矩阵相关的一些性质。其次，提出了一种基于软辨别矩阵的新算法来解决决策问题。它不仅可以通过最多扫描一次软辨别矩阵来轻松找到最优选择对象，而且可以轻松找到所有对象的顺序关系，而不是计算选择值。最后，在软集中引入加权软辨别矩阵，并研究其在决策中的应用。 (C) 2014 Elsevier B.V. 保留所有权利。
In this paper, we aim to solve the problems of decision making by introducing soft discernibility matrix in soft sets. Firstly, the notion of soft discernibility matrix is introduced in soft sets, and some properties associated with the soft discernibility matrix are researched. Secondly, an novel algorithm based on soft discernibility matrix is proposed to solve the problems of decision making. It can find not only the optimal choice object, but also an order relation of all the objects easily by scanning the soft discernibility matrix at most one time, rather than calculating the choice value. Finally, the weighted soft discernibility matrix is introduced in soft sets and its application to decision making is also investigated. (C) 2014 Elsevier B.V. All rights reserved.