Local double quantitative fuzzy rough sets over two universes

As an important expanded quantification fuzzy rough set model, the local fuzzy rough set model is used to measure relative quantitative information between the fuzzy similarity classes and the basic concept. Although many studies have taken on this topic, the existing local fuzzy rough sets ignore the absolute quantitative information in the fuzzy information system over two universes. Therefore, based on this observation, we propose a local double quantitative fuzzy rough set model over two universes, which considers the problems from the double quantization form of the local fuzzy rough sets over two universes. Furthermore, the corresponding properties and decision rules of the local double quantitative “logical and” fuzzy rough set model over two universes are studied. Then, in order to improve the applicability of the model, an effective reduction method is introduced. Finally, we conduct experimental comparisons showing the computational efficiency and approximate accuracy of the model in concept approximation and reduction.