Fuzzy associative memories (FAMs) can be used as a powerful tool for implementing fuzzy rule-based systems. The insight that FAMs are closely related to mathematical morphology (MM) has recently led to the development of new fuzzy morphological associative memories (FMAMs), in particular implicative fuzzy associative memories (IFAMs). As the name FMAM indicates, these models belong to the class...

In recent years, fuzzy logic has been applied successfully to a wide range of problems. This paper shows how it can be utilized in the area of spatial reasoning, in particular geographic information systems. The problem that we address here is the prediction of erosion from factors such as slope, annual precipitation, etc. These factors are represented as maps in a GIS. The maps are converted i...

In mathematical morphology (MM), images are viewed as L-fuzzy sets, where the symbol L stands for a complete lattice. In particular, fuzzy MM arises by considering L = [0, 1]. Mathematical morphology provides the theoretical basis for certain lattice computing models called morphological neural networks (MNNs) including morphological associative memories (MAMs) that are the focus of this paper....

This paper presents an approach to the generalization of grayscale morphology to color images. Attaining such a generalization is strongly related to the issues of multivariate ranking and to the Pareto sets of multiobjective optimization. Some ranking schemes for multivariate data are recalled. For color morphology, the most important underlying ranking scheme is reduced ordering (also referre...

This paper proposes a new approach for structure based separation of image objects using fuzzy morphology. With set operators in fuzzy context, we apply an adaptive alpha-cut morphological processing for edge detection, image enhancement and segmentation. A Top-hat transform is first applied to the input image and the resulting image is thresholded to a binary form. The image is then thinned us...

Mobile robots must represent and reason about spatial knowledge acquired from sensor data which are inherently approximate and uncertain. While techniques based on fuzzy sets are increasingly used in this domain, the use of these techniques often rests on intuitive grounds. In this paper, we show that fuzzy mathematical morphology, a theory often used in image processing but mostly ignored in t...

Bipolarity is an important feature of spatial information, involved in the expressions of preferences and constraints about spatial positioning, or in pairs of “opposite” spatial relations such as left and right. Imprecision should also be taken into account, and fuzzy sets is then an appropriate formalism. In this paper, we propose to handle such information based on mathematical morphology op...

The quality of fingerprint image greatly affects the performance of minutiae extraction and the process of matching in fingerprint identification system. In order to improve the performance of the fingerprint identification system, a fuzzy morphology technique is proposed in this paper to enhancement oily fingerprint images. Experimental results, using the DB_ITS_2009 database [15] indicated th...