Representing complex vague soft set by quaternion numbers

Article type: Research Article

Authors: Du, Jinze | Wang, Chang^{; *}

Affiliations: School of Mathematics, Northwest University, Xi’an, Shaanxi, China

Correspondence: [*] Corresponding author. Chang Wang, School of Mathematics, Northwest University, Xi’an, Shaanxi 710127, China. Tel.: +86 29 88308435; E-mail: cwang@nwu.edu.cn.

Abstract: Based on the quaternion system, we give a new representation of the complex vague soft set, and related logical operations. This new representation contains more information than before. Three quaternion distance measures are proposed and a decision model is established. The disease diagnosis of breast cancer is applied to the model to reflect the superiority of the model. By comparing the diagnostic errors under the different distance measures, the most suitable distance measure for this dataset is selected.

Keywords: Quaternion, vague soft set, complex vague soft set

DOI: 10.3233/JIFS-231270

Journal: Journal of Intelligent & Fuzzy Systems, vol. 45, no. 4, pp. 6679-6690, 2023