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AN INCOMPLETE SOFT SET AND ITS APPLICATION IN MCDM PROBLEMS WITH REDUNDANT AND INCOMPLETE INFORMATION
Xia, Sisi1; Yang, Haoran1; Chen, Lin2
2021-09-01
摘要Multiple criteria decision making (MCDM) problems in practice may simultaneously contain both redundant and incom-plete information and are difficult to solve. This paper proposes a new decision-making approach based on soft set theory to solve MCDM problems with redundant and incomplete information. Firstly, we give an incomplete soft set a precise definition. After that, the binary relationships of objects in an incomplete soft set are analyzed and some operations on it are provided. Next, some definitions regarding the incomplete soft decision system are also given. Based on that, an algorithm to solve MCDM problems with redundant and incomplete information based on an incomplete soft set is presented and il-lustrated with a numerical example. The results show that our newly developed method can be directly used on the original redundant and incomplete data set. There is no need to transform an incomplete information system into a complete one, which may lead to bad decision-making due to information loss or some unreliable assumptions about the data generating mechanism. To demonstrate its practical applications, the proposed method is applied to a problem of regional food safety evaluation in Chongqing, China.
关键词soft set incomplete soft set incomplete information redundant information multiple criteria decision making
DOI10.34768/amcs-2021-0028
发表期刊INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE
ISSN1641-876X
卷号31期号:3页码:417-430
通讯作者Xia, Sisi(xiasisi@swupl.edu.cn)
收录类别SCI
WOS记录号WOS:000709868600004
语种英语