基于双射软集合的参数约简算法及在决策中的应用

双射软集合理论是软集合理论的一个分支,它用来解决不确定问题的一种新型数学工具。在研究已有文献的基础上,对双射软集合的理论及应用进行拓展研究,首先简单回顾双射软集合的定义、运算以及应用等相关理论,其次在应用部分重点给出双射软集合分明矩阵的参数约简思想,最后通过决策分割之间的依赖关系确定决策权重,同时在应用方面进行算例分析,结果显示合理。

The Parameter Reduction Algorithm and Its Application in Decision-making Based on the Bijective Soft Set

Bijective soft set theory is a new mathematical tool to solve the uncertain problems,which is a branch of the soft set.Base on other scholars’ research,this paper do a further study.Firstly,this paper reviewed the related theories including definition,operation and applications of the bijective soft set.Secondly,the paper gives out the discernible matrix parameters reduction algorithm in application part.Finally,the weight calculation method is given base on dependency relationship of split decision.At the same time,a case study is also made.The result shows that the algorithm is reasonable.