International Journal for Uncertainty Quantification · 2017 · 29 citations · 0 references
BusinessDecision SciencesMathematicsDecision AnalysisDecision MakingMulti-criteria Decision MakingAggregation OperatorsDecision-making Under UncertaintyFuzzy LogicFuzzy Multi-criteria Decision MakingMulti-criteria Decision AnalysisRanking ProblemsFuzzy Choquet IntegralFuzzy Multi-criteria Decision AnalysisHamming DistanceInterval-valued Aggregation OperatorsInterval-valued Fuzzy SetsIntuitionistic Fuzzy SetsSubjective Decision MakingTopsis
Traditional aggregation operators based on additive measures are invalid to aggregate the different alternatives under the set of criteria due to interdependent or interactive characteristics of the attributes. Thus, to approximate the human subjective decision-making process, it would be more suitable to enhance the fuzzy measure which will consider the dependency list of multiple decision-making criteria. This shortcoming has been overcome in the present manuscript by defining a new operational law and their corresponding interval-valued intuitionistic fuzzy interaction correlated averaging operator. Further, an extension of the TOPSIS method is developed by combining the proposed operator with Choquet-based Hamming distance. An illustrative example has been given for demonstrating the approach.