A three-way decision model on incomplete single-valued neutrosophic information tables

Article type: Research Article

Authors: Yang, Hai-Long^{; *} | Ren, Huan-Huan

Affiliations: School of Mathematics and Statistics, Shaanxi Normal University, Xi’an, P.R. China

Correspondence: [*] Corresponding author. Hai-Long Yang, School of Mathematics and Statistics, Shaanxi Normal University, Xi’an 710119, P.R. China. E-mail: yanghailong@snnu.edu.cn.

Abstract: In this paper, we focus on the three-way decision model on incomplete single-valued neutrosophic information tables. Firstly, we define the minimum and maximum similarity measures between single-valued neutrosophic numbers (SVNNs) which may contain unknown values. On this basis, the notion of θ-weak similarity measure is given. Then, we introduce the conception of an incomplete single-valued neutrosophic information table (ISVNIT). For an incomplete single-valued neutrosophic information table, a new similarity relation is proposed based on the θ-weak similarity measure. Some properties are also studied. By using Bayesian decision theory and this similarity relation, we construct a three-way decision model on an ISVNIT. Finally, an example of choosing product service providers is explored to illustrate the rationality and feasibility of the proposed model. We also discuss the influence of parameters in the model on decision results.

Keywords: Three-way decision, single-valued neutrosophic number, incomplete single-valued neutrosophic information table, similarity measure

DOI: 10.3233/JIFS-221942

Journal: Journal of Intelligent & Fuzzy Systems, vol. 44, no. 3, pp. 5179-5193, 2023