A soft set based approach for the decision-making problem with heterogeneous information

Sisi Xia; Lin Chen; Haoran Yang; Sisi Xia; Lin Chen; Haoran Yang

doi:10.3934/math.20221119

AIMS Mathematics

2022, Volume 7, Issue 12: 20420-20440. doi: 10.3934/math.20221119

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Research article

A soft set based approach for the decision-making problem with heterogeneous information

1.
School of Economics, Southwest University of Political Science and Law, Chongqing 401120, China
2.
Chongqing Institute of Green and Intelligent Technology, Chinese Academy of Sciences, Chongqing 400714, China

Received: 06 December 2021 Revised: 19 January 2022 Accepted: 23 January 2022 Published: 19 September 2022
MSC : 03E75, 91B06

This paper proposes the concept of a neighborhood soft set and its corresponding decision system, named neighborhood soft decision system to solve decision-making (DM) problems with heterogeneous information. Firstly, we present the definition of a neighborhood soft set by combining the concepts of a soft set and neighborhood space. In addition, some operations on neighborhood soft sets such as "restricted/relaxed AND" operations and the degree of dependency between two neighborhood soft sets are defined. Furthermore, the neighborhood soft decision system and its parameter reduction, core attribute are also defined. According to the core attribute, we can get decision rules and make the optimal decision. Finally, the algorithm of DM with heterogeneous information based on the neighborhood soft set is presented and applied in the medical diagnosis, and the comparison analysis with other DM methods is made.
- soft set,
- neighborhood soft set,
- decision-making problems,
- heterogeneous information
Citation: Sisi Xia, Lin Chen, Haoran Yang. A soft set based approach for the decision-making problem with heterogeneous information[J]. AIMS Mathematics, 2022, 7(12): 20420-20440. doi: 10.3934/math.20221119

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Abstract

This paper proposes the concept of a neighborhood soft set and its corresponding decision system, named neighborhood soft decision system to solve decision-making (DM) problems with heterogeneous information. Firstly, we present the definition of a neighborhood soft set by combining the concepts of a soft set and neighborhood space. In addition, some operations on neighborhood soft sets such as "restricted/relaxed AND" operations and the degree of dependency between two neighborhood soft sets are defined. Furthermore, the neighborhood soft decision system and its parameter reduction, core attribute are also defined. According to the core attribute, we can get decision rules and make the optimal decision. Finally, the algorithm of DM with heterogeneous information based on the neighborhood soft set is presented and applied in the medical diagnosis, and the comparison analysis with other DM methods is made.

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