<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

An Incomplete Soft Set and Its Application in MCDM Problems with Redundant and Incomplete Information

Southwest University of Political Science and Law

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Multiple criteria decision making (MCDM) problems in practice may simultaneously contain both redundant and incomplete information and are difficult to solve....

An Incomplete Soft Set and Its Application in MCDM Problems with Redundant and Incomplete Information

Published Online: Sep 27, 2021

Page range: 417 - 430

Received: Feb 23, 2021

Accepted: Jun 07, 2021

DOI: https://doi.org/10.34768/amcs-2021-0028

Keywords
soft set, incomplete soft set, incomplete information, redundant information, multiple criteria decision making

© 2021 Sisi Xia et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

An Incomplete Soft Set and Its Application in MCDM Problems with Redundant and Incomplete Information

Published Online: Sep 27, 2021

Page range: 417 - 430

Received: Feb 23, 2021

Accepted: Jun 07, 2021

DOI: https://doi.org/10.34768/amcs-2021-0028

Keywordssoft set, incomplete soft set, incomplete information, redundant information, multiple criteria decision making

© 2021 Sisi Xia et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
soft set, incomplete soft set, incomplete information, redundant information, multiple criteria decision making