In this paper, the notion of closure operators of matroids  is generalized to fuzzy setting  which is called $M$-fuzzifying closure operators, and some properties of $M$-fuzzifying closure operators are discussed. The $M$-fuzzifying matroid induced by an $M$-fuzzifying closure operator can induce an $M$-fuzzifying closure operator. Finally, the characterizations of $M$-fuzzifying acyclic matroi...

Here, our goal is to develop a formal analysis of dual network structures taking into account transitive completions of higher order than the usually considered triadic closure, i.e., allowing quadruple closure and any other higher order transitive completion of open n-paths traversing two dual social networks. In this way, a sequence of indirect relations might be generated in each social netw...

Third grade children (N = 404) and their mothers completed questionnaires and participated in interviews designed to identify children's friendships across multiple contexts, determine levels of social network closure for these friendships, and assess child well-being. Cluster analyses revealed distinct patterns in the contexts in which children's friendships were maintained. Closure was highes...

A theoretical basis for the evaluation of the effciency of quarantine measure is developed in a SIR model with time delay. In this model, the effectiveness of the closure of public places such as schools in disease control, modeled as a high degree node in a social network, is evaluated by considering the effect of the time delay in the identification of the infected. In the context of the SIR ...

Because trust-related issues inherently involve uncertainty, we expected individuals' social-cognitive motivation to manage uncertainty--which is captured by their need for closure--to influence their level of trust in others. Through the results of 6 studies, we showed that higher need for closure was related to more polarized trust judgments (i.e., low trust in distant others and high trust i...

This study proposes a structural approach to examining online bridging and bonding social capital in a large virtual world. It tests the effects of individual players’ network brokerage and closure on their task performance and trust of other players. Bridging social capital is operationalized as brokerage, the extent to which one is tied to disconnected others, and bonding social capital as cl...

Research on minority authority attainment tends to stress top-down processes of social closure, whereby the dominant social group produces and preserves positions of power and inuence by excluding out-group members. We argue that this view, while helpful, is incomplete. Returning to Weber’s original conceptualization of social closure, we argue that top-down exclusion often generates pressures...

It is well known that any bipartite (social) network can be regarded as a formal context (G,M, I). Therefore, such networks give raise to formal concept lattices which can be investigated utilizing the toolset of Formal Concept Analysis (FCA). In particular, the notion of clones in closure systems on M , i. e., pairwise interchangeable attributes that leave the closure system unchanged, suggest...