Abstract
Neutrosophic cubic sets (NCSs) can express complex multi-attribute decision-making (MADM) problems with its interval and single-valued neutrosophic numbers simultaneously. The weighted arithmetic average (WAA) and geometric average (WGA) operators are common aggregation operators for handling MADM problems. However, the neutrosophic cubic weighted arithmetic average (NCWAA) and neutrosophic cubic geometric weighted average (NCWGA) operators may result in some unreasonable aggregated values in some cases. In order to overcome the drawbacks of the NCWAA and NCWGA, this paper developed a new neutrosophic cubic hybrid weighted arithmetic and geometric aggregation (NCHWAGA) operator and investigates its suitability and effectiveness. Then, we established a MADM method based on the NCHWAGA operator. Finally, a MADM problem with neutrosophic cubic information was provided to illustrate the application and effectiveness of the proposed method.
Highlights
Zadeh [1] proposed the classic fuzzy set to describe fuzzy problems with the membership degree in the closed interval [0,1]
This paper developed the NCHWAGA operator of Neutrosophic cubic sets (NCSs) and investigated its properties
The main advantage of the proposed NCHWAGA operator can overcome the drawbacks implied by the existing neutrosophic cubic weighted arithmetic average (NCWAA) and neutrosophic cubic geometric weighted average (NCWGA) operators [31] in some cases and reach the moderate aggregated values
Summary
Zadeh [1] proposed the classic fuzzy set to describe fuzzy problems with the membership degree in the closed interval [0,1]. Proposed the neutrosophic cubic weighted studied forMoreover, problems inpaper an deve widely applied inNCWGA many [23,24,25,26,27,28,29], method based on the similarity measure of aggregation operators have been. Established a grey relational analysis et al. NCSs to overcome the shortcomings of the operators, this paper developed a new operators may cause some unreasonable results operators by extending the opera arithmetic average and analyzed its effectiveness for MADM aggregation by numerical examp operators in some situations and operators obtain the in moderate some situations aggregation and obtain values. 5byprovid neutrosophic cubic information to demonstrate the application and effectiveness of MADM the developed operators of proposed studied for problems in an env method based on the similarity measure of NCSs. The main advantage of the presents the operator and investigated its properties. Section presents co examples withGneutrosophic cubic information to {x, application effectiveness of | x ∈6 Z
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
