Rough Intuitionistic Fuzzy Set Based on Inclusion Degree

This paper first proposes the notion of the intuitionistic fuzzy sets on inclusion degree, furthermore, a couple of dual operators’ lower approximations, and upper approximations of fuzzy inclusion approximate space are provided, thus, a probabilistic intuitionistic fuzzy set model that stemmed from inclusion degree was obtained. A rough intuitionistic fuzzy set and histogram equalization-based image enhancement algorithm is proposed to address the shortcomings of excessive enhancement and loss of image detail information in fuzzy enhancement that cannot improve image contrast and histogram equalization enhancement. The fusion of rough intuitionistic blur enhancement and histogram equalization focuses on rough intuitionistic blur enhancement while suppressing the shortcomings of histogram equalization, which not only enhances the detailed information of the image but also improves its contrast. Finally, its effectiveness is verified through typical image enhancement examples.