Variable Weight Analysis under Fuzzy Environment and Its Application

Fuzzy set theory has attracted many researchers’ interests and many efficient variants have been implemented in support system, decision-making and other fields. Inspired by the idea of variable weight analysis, in this study, we investigate state variable weight vector and its properties, propose two kinds of variable weight aggregation operators such as variable weight averaging (VWA) operator and variable weight geometric (VWG) operator based on three types of fuzzy attribute values. Finally, we apply in ship evaluation and economy collaboration evaluation tasks and make comparison analysis to illustrate the effectiveness of our proposed technique.