‎By substituting the usual notion of open sets in a topological space $X$ with a suitable collection of maps from $X$ to a frame $L$, we introduce the notion of L-topological spaces. Then, we proceed to study the classical notions and properties of usual topological spaces to the newly defined mathematical notion. Our emphasis would be concentrated on the well understood classical connectedness...

In this paper we have introduced and studied 2α,β-connectedness and Dconnectedness in an intuitionistic fuzzy topological space as extensions of 2αconnectedness and D-connectedness respectively in a fuzzy topological space (given by Lowen and Srivastava) and proved some basic results related to it. We have also introduced some other type of connectedness in an intuitionistic fuzzy topological s...

In this note we define a rather pathological connectedness property of Hausdorff spaces which is stronger than ordinary connectedness. We obtain a few basic properties of such spaces and derive a method for constructing them. It turns out that countable Hausdorff spaces having the connectedness property are as easily constructed as uncountable ones. Hence we have still another method for constr...

Natural visual images are typically composed of multiple objects, which need to be segregated from each other and from the background. The visual system has evolved to capture a great variety of cues that allow a meaningful segmentation of the visual input. One of these cues is connectedness. Connected image regions are likely to belong to a single visual object, whereas disconnected image regi...

Image segmentation—the process of defining objects in images—remains the most challenging problem in image processing despite decades of research. Many general methodologies have been proposed to date to tackle this problem. An emerging framework that has shown considerable promise recently is that of fuzzy connectedness. Images are by nature fuzzy. Object regions manifest themselves in images ...

We apply Preuss' concept of $mbbe$-connectedness to the categories of lattice-valued uniform convergence spaces and of lattice-valued uniform spaces. A space is uniformly $mbbe$-connected if the only uniformly continuous mappings from the space to a space in the class $mbbe$ are the constant mappings. We develop the basic theory for $mbbe$-connected sets, including the product theorem. Furtherm...

A system of interacting elements can be represented by a directed network so that elements are nodes and interaction between two elements is an arc. Conventionally, each node is just a point, each arc represents some kind of interaction between two nodes and nothing more after the system is mapped to a directed network. However, in many real systems, each element has its own intra-node process ...

This study presents an exploratory, cross-sectional investigation of factors associated with internalizing emotional and behavioral problems (anxiety/depression, emotional withdrawal, and somatic complaints) in a sample of adolescents displaced by the war in Chechnya and interviewed in the fall of 2000. Social support and connectedness with family, peers, and the larger community were given par...

Economic connectedness can be defined as the degree of internal connectedness of interdependence between the sectors of an economy. In input-output models intersectoral connectedness is a crucial feature of analysis, and there are many different methods of measuring it. These measures are believed to be important structural indicators, helpful in model estimation. Also, such measures could be a...

In many taxa, individual social traits appear to be consistent across time and context, thus meeting the criteria for animal personality. How these differences are maintained in response to changes in population density is unknown, particularly in large mammals, such as ungulates. Using a behavioral reaction norm (BRN) framework, we examined how among- and within-individual variation in social ...