This paper presents a novel histogram thresholding – fuzzy C-means hybrid (HTFCM) approach that could find different application in pattern recognition as well as in computer vision, particularly in color image segmentation. The proposed approach applies the histogram thresholding technique to obtain all possible uniform regions in the color image. Then, the Fuzzy C-means (FCM) algorithm is uti...

Transparency, accuracy, compactness and reliability all appear to be vital (even though somewhat contradictory) requirements when it comes down to linguistic fuzzy modeling. This paper presents a methodology for simultaneous optimization of these criteria by chaining previously published various algorithms a heuristic fully automated identification algorithm that is able to extract sufficiently...

Fuzzy Logic Based Classification System usually comes with two contradictory requirements to the obtained model; namely Accuracy and Interpretability. It is often found that a fuzzy system with highest classification accuracy shows poorer interpretability and vice versa. This is also observed in the hybrid GA-PSO approaches presented in the previous chapter. IGA has reasonable interpretability ...

Genetic Algorithms (GAs) and other evolutionary optimization methods to design fuzzy rules from data for systems modeling and classification have received much attention in recent literature. We show that different tools for modeling and complexity reduction can be favorably combined in a scheme with GA-based parameter optimization. Fuzzy clustering, rule reduction, rule base simplification and...

Abslracl: The Fuzzy Medial Axis Transformation (FMAT) of a fuzzy set f is a set of fuzzy disks whose sup is f. Unforlunately, specifying the FMAT sometimes requires more storage space than specifying.f itself. The present paper describes some techniques Lo improve the compact representatiou of FMAT; thereby making it practically feasible and useful. The algorithms involve reduction of redundanc...

We establish the existence of a nontrivial solution to systems of coupled Poisson equations with critical growth in unbounded domains. The proofs rely on a generalized linking theorem due to Krysewski and Szulkin [9], and on a concentration-compactness argument since the Palais-Smale condition fails at all critical levels. Mathematical Subject Classification. 35J50, 35J55

We show here some of our results on intuitionistic fuzzy topological spaces. In 1983, K.T. Atanassov proposed a generalization of the notion of fuzzy set: the concept of intuitionistic fuzzy set [1]. Some basic results on intuitionistic fuzzy sets were publised in [2,3], and the book [4] provides a comprehensive coverage of virtually all results until 1999 in the area of the theory and applicat...