Affiliations: [a] Department of Basic Teaching, Liaoning Technical University, Huludao, China
| [b] School of Information Engineering, Shaoguan University, Shaoguan, China
Correspondence:
[*]
Corresponding author. Xindong Peng, School of Information Engineering, Shaoguan University, Shaoguan, 512005, China. E-mails: [email protected]; [email protected].
Abstract: It is prominent important for managers to assess the personal risk of mental patients. The evaluation process refers to numerous indexes, and the evaluation values are general portrayed by uncertainty information. In order to conveniently model the complicated uncertainty information in realistic decision making, interval-valued complex Pythagorean fuzzy set is proposed. Firstly, with the aid of Einstein t-norm and t-conorm, four fundamental operations for interval-valued complex Pythagorean fuzzy number (IVCPFN) are constructed along with some operational properties. Subsequently, according to these proposed operations, the weighted average and weighted geometric forms of aggregation operators are initiated for fusing IVCPFNs, and their anticipated properties are also examined. In addition, a multiple attribute decision making issue is examined under the framework of IVCPFNs when employing the novel suggested operators. Ultimately, an example regarding the assessment on personal risk of mental patients is provided to reveal the practicability of the designed approach, and the attractiveness of our results is further found through comparing with other extant approaches.The main novelty of the coined approach is that it not only can preserve the original assessment information adequately by utilizing the IVCPFNs, but also can aggregate IVCPFNs effectively.
Keywords: Multiple attribute decision making, Einstein operation, interval-valued
complex Pythagorean fuzzy number, aggregation operators, personal risk
