Dombi Aggregation Operators of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making

• Main Authors: Lilian Shi, Jun Ye
• Format: Article
• Language: English
• Published: MDPI AG 2018-03-01
• Series: Algorithms
• Subjects: neutrosophic cubic sets; neutrosophic cubic Dombi weighted arithmetic average (NCDWAA) operator; Dombi operations; multiple attribute decision-making; neutrosophic cubic Dombi weighted geometric average (NCDWGA) operator
• Online Access: http://www.mdpi.com/1999-4893/11/3/29

The neutrosophic cubic set can describe complex decision-making problems with its single-valued neutrosophic numbers and interval neutrosophic numbers simultaneously. The Dombi operations have the advantage of good flexibility with the operational parameter. In order to solve decision-making problems with flexible operational parameter under neutrosophic cubic environments, the paper extends the Dombi operations to neutrosophic cubic sets and proposes a neutrosophic cubic Dombi weighted arithmetic average (NCDWAA) operator and a neutrosophic cubic Dombi weighted geometric average (NCDWGA) operator. Then, we propose a multiple attribute decision-making (MADM) method based on the NCDWAA and NCDWGA operators. Finally, we provide two illustrative examples of MADM to demonstrate the application and effectiveness of the established method.