Perceptual grouping is an important part of many computer vision systems. When inferring a new grouping from the primitive features there is always an uncertainty degree on this detection, that might be useful in further reasonings. In this paper, we present a fuzzy logic based system for the computation of the certainties assigned to pairwise line segment relations and introduce its applicatio...

Keywords: Perceptual grouping Early human vision Image pixel grouping Local image structure Graph partitioning Normalized cut a b s t r a c t Graph partitioning for grouping of image pixels has been explored a lot, with normalized cut based graph partitioning being one of the popular ones. In order to have a credible allegiance to the perceptual grouping taking place in early human vision, we p...

In this article, we continue the development of the theory of fuzzy sets [23], started with [14] with the future aim to provide the formalization of fuzzy numbers [8] in terms reflecting the current state of the Mizar Mathematical Library. Note that in order to have more usable approach in [14], we revised that article as well; some of the ideas were described in [12]. As we can actually unders...

As the forefront of complex nonlinear science and artificial intelligence science, artificial neural network has began to be applied in the field of water quality control and planning step by step. According to the fuzzy feature of water quality information, this paper proposes a membership degree Back-Propagation network (MDBP) for water quality assessment with combining fuzzy mathematics and ...

We discuss topological issues that arise when diier-ential equations and nite automata interact (hybrid systems). In particular, we examine topologies for achieving continuity of maps from a set of measurements of continuous dynamics to a nite set of input symbols and from a nite set of output symbols into the control space for those continuous dynamics. Finding some anomalies in completing thi...

In spite of its computational efficiency and wide spread popularity, the FCM algorithm does not take the spatial information of pixels into consideration. In this paper, a multiple kernel fuzzy c-means clustering (MKFCM) algorithm is presented for fuzzy segmentation of magnetic resonance (MR) images. By introducing a novel adaptive method to compute the weights of local spatial values in the ob...

ÐA fuzzy decision tree is constructed by allowing the possibility of partial membership of a point in the nodes that make up the tree structure. This extension of its expressive capabilities transforms the decision tree into a powerful functional approximant that incorporates features of connectionist methods, while remaining easily interpretable. Fuzzification is achieved by superimposing a fu...

The present paper aims to introduce the concept of weak-fuzzy contraction mappings in graph structure within context fuzzy cone metric spaces. We prove some fixed point results endowed with a using contractions. By relaxing continuity condition involved, our enrich and generalize well-known theory. With help new lemmas, proofs are straight forward. furnish validity findings appropriate examples...

Abstract The article focuses on the introduction of neutrosophic continuity and boundedness, which is a fair extension intuitionistic fuzzy respectively. further advances to illustrate Fréchet derivative nonlinear operators between normed spaces (NNS). Examples have been provided in compliance with theory aid some standard sequence spaces.