Topology theory on rough sets.

For further studying the theories and applications of rough sets (RS), this paper proposes a new theory on RS, which mainly includes topological space, topological properties, homeomorphism, and its properties on RS by some new definitions and theorems given. The relationship between partition and countable open covering is discussed, and some applications based on the topological rough space and its topological properties are introduced. Moreover, some perspectives for future research are given. Throughout this paper, the advancements of the new theory on RS and topological algebra not only represent an important theoretical value but also exhibit significant applications of RS and topology.     

Small target recognition method on weak features

For real time tracking the moving small target under complex backgrounds, this paper will present a tracking algorithm and a recognition method for small target based on the fusion filtering of single frame and multiple frames. For a case that the moving small target is masked or submersed easily by other objects or noise in complex background, this paper will present an opening and closing transform algorithm to eliminate or weaken background and noise; present a competitive model with adaptive neural network of online learning for the puniness characteristics of moving small target, use its competitive active unit to extract the multidimensional characteristic parameter of small target; consequently, present a tracking recognition method for moving small target based on a complex background. In conclusion, the significant novelty is the small target recognition method proposed, including the eliminating noise method, extraction method for weak small features, establishment of prediction model of motion target state, recognition method for small target. These researches development in this paper help to the personnel of target recognition and image processing understand the motion law, reduce expenditure, decrease unnecessary damage or injury, etc.