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Paper details
Number 3 - September 2021
Volume 31 - 2021
An incomplete soft set and its application in MCDM problems with redundant and incomplete information
Sisi Xia, Haoran Yang, Lin Chen
Abstract
Multiple criteria decision making (MCDM) problems in practice may simultaneously contain both redundant and incomplete
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 illustrated 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.
Keywords
soft set, incomplete soft set, incomplete information, redundant information, multiple criteria decision making