An MCDM Method under Neutrosophic Cubic Fuzzy Sets with Geometric Bonferroni Mean Operator

Abstract

Neutrosophic cubic fuzzy sets (NCFSs) involve interval valued and single valued neutrosophic sets, and are used to describe uncertainty or fuzziness in a more efficient way. Aggregation of neutrosopic cubic fuzzy information is crucial and necessary in a decision making theory. In order to get a better solution to decision making problems under neutrosophic cubic fuzzy environment, this paper introduces an aggregating operator to neutrosophic cubic fuzzy sets with the help of Bonferroni mean and geometric mean, and proposes neutrosophic cubic fuzzy geometric Bonferroni mean operator (NCF GBMu,v) with its properties. Then, an efficient decision making technique is introduced based on weighted operator WNCF GBMu,v w . An application of the established method is also examined for a real life problem.

Keywords

• neutrosophic sets; cubic fuzzy sets; bonferroni geometric mean; aggregation operators; mcdm