We define some operations over Atanassov’s intuitionistic fuzzy sets (AIFSs), such as Einstein intersection, Einstein product, Einstein scalar multiplication and Einstein exponentiation, etc., and then define new concentration and dilation of AIFSs. These definitions will be useful while dealing with various linguistic hedges like “very”, “more or less”, “highly”, “very very” etc., involved in ...

A new method that automatically detects and segments brain tumors in 3D MR images is presented. An initial detection is performed by a fuzzy possibilistic clustering technique and morphological operations, while a deformable model is used to achieve a precise segmentation. This method has been successfully applied on five 3D images with tumors of different sizes and different locations, showing...

Spatial information may be endowed with a bipolarity component. Typical examples concern possible vs forbidden places for an object in space, or “opposite” spatial relations such as “possibly to the right of an object and certainly not to its left”. However, bipolarity has not been much exploited in the spatial domain yet. Moreover, imprecision has often to be taken into account as well, for in...

Morphological tools can provide transformations suitable for real projective images, but the camera and objects to be analyzed have to be positioned in such a manner that a regular mesh on the objects projects a regular mesh on the image. A morphological modification of the image is thus the projection of an equivalent operation on the object. Otherwise, due to perspective effects, a morphologi...

We consider a multiple-rule, generalized modus ponens inference scheme, with an interpretation based on compositional rule of inference (CRI) and a residuated implication. We show that such a system is equivalent, as far as CRI is concerned, to a system that satis5es the “basic requirement for fuzzy reasoning”, proposed by Turksen and Tian (Fuzzy Sets and Systems 58 (1993) 3–40). We establish a...

Currently, Mathematical Morphology (MM) has become a powerful tool in Digital Image Processing (DIP). It allows processing images to enhance fuzzy areas, segment objects, detect edges and analyze structures. The techniques developed for binary images are a major step forward in the application of this theory to gray level images. One of these techniques is based on fuzzy logic and on the theory...

National Sun Yat-sen University, Taiwan; email: [email protected] FUZZY NOISE REMOVAL AND EDGE DETECTION ON HEXAGONAL IMAGE Kazi Mostafa*, John Y. Chiang**, Wei-cheng Tsai*, and Innchyn Her* Abstract Traditionally images are digitized, processed and displayed in a rectangular grid. But rectangular grid has many inherent ambiguities such as continuity, inter-pixel distance, etc. These ambi...

This paper proposes to show that the particular fuzzy extension, based on level cuts, of the mathematical morphology coincide with a non-additive extension of the classical approach for filtering based on convolution.

This paper introduces an integrative methodology that has been developed to measure temporal changes in urban morphology based on the techniques of multiple endmember spectral mixture analysis (MESMA), landscape metrics, and fuzzy logic. In order to illustrate an application of the methodology, the paper uses two satellite images acquired in 1990 and 2000 for the metropolitan area of Los Angele...

In several domains, such as medical image interpretation, spatial relations play a crucial role since they are less prone to variability than properties of structures themselves. Moreover, they constitute an important part of available knowledge. In this paper, we suggest a new way to handle imprecise spatial information in a description logic framework based on mathematical morphology with fuz...