Affiliations: [a]
Research Center of the Central China for Economic and Social Development, Nanchang, China
| [b]
School of Economics and Management, Nanchang University, Nanchang, China
| [c]
School of Business, Guilin University of Electronic Technology, Guilin, China
Abstract: Frank operations are more robust and flexible than other algebraic operations, and interaction operational laws consider interrelationship between membership functions in Pythagorean fuzzy number. Combining the strengths of both, we define some Frank interaction operational laws of Pythagorean fuzzy numbers for the first time in this article. Based on this, the Pythagorean fuzzy Frank interaction weighted averaging and geometric operators are developed. Meanwhile, we discuss their basic properties and related special cases. Furthermore, a novel multiple attribute decision-making framework is established based on the modified WASPAS method in Pythagorean fuzzy environment. The proposed method is implemented in a real-case study of cloud computing product selection to test the proposed methodology’s plausibility. A sensitivity analysis is conducted to verify our method’s reliability, and the effectiveness and superiority are illustrated by comparative study.
Keywords: Frank interaction operational laws, Pythagorean fuzzy Frank interaction aggregation operators, PyF-ITARA, WASPAS, cloud computing product
