International Journal for Uncertainty Quantification · 2018 · 99 citations · 0 references
BusinessDecision SciencesMathematicsDecision AnalysisDecision TheoryMulti-criteria Decision MakingAggregation OperatorsAlternative RankingFuzzy LogicFuzzy Multi-criteria Decision MakingIntuitionistic LogicRanking ProblemsAccuracyAggregation Operator PropertiesFuzzy Multi-criteria Decision AnalysisFuzzy NumbersHybrid Aggregation OperatorsIntuitionistic Fuzzy SetsScore Function AnalysisWeighted Averaging
The objective of this manuscript is to present some series of aggregation operators under the cubic intuitionistic fuzzy set (CIFS) and their suitable properties. Firstly an operational law, score function, and accuracy function between the cubic intuitionistic fuzzy numbers (CIFNs) under the P-order and R-order are defined and hence based on them, some weighted averaging and geometric aggregation operators, namely, cubic intuitionistic fuzzy weighted, ordered weighted, hybrid averaging, and geometric aggregation operators are proposed. A decision-making method based on these operators is proposed for ranking the different sets of the alternative under CIFS domain. Finally, an illustrative example is given to demonstrate the proposed approach.