fuzzy incidence graphs can be used as models for nondeterministic interconnection networks having extra node-edge relationships. For example, ramps in a highway system may be modeled as a fuzzy incidence graph so that unexpected flow between cities and highways can be effectively studied and controlled. Like node and edge connectivity in graphs, node connectivity and arc connectivity in fuzzy incidence graphs are introduced in this article. Their relationships with fuzzy connectivity parameters are discussed and results similar to Whitney’ s theorems are obtained. Also, the incidence is used to model flows in human trafficking networks.

This paper continues the study of the connection between hyper- groups and fuzzy sets, investigating the length of the sequence of join spaces associated with a hyper group. The classes of Complete hyper groups and of 1-hypergroups are considered and analyzed in this context. Finally, we give a method to construct a finite hyper group with the strong fuzzy grade equal to a given natural number.

Generalized Geraghty type fuzzy mappings on Complete metric spaces are introduced and a fixed point theorem that generalizes some recent comparable results for fuzzy mappings in contemporary literature is obtained.Example is provided to show the validity of obtained results over comparable classical results for fuzzy mappings in fixed point theory. As an application, existence of coincidence fuzzy points and common fixed fuzzy points for hybrid pair of single valued self mapping and a fuzzy mapping is also established.

In this paper, we introduce a new class of contractive mappings in fuzzy metric spaces and we present some fixed point results for this class of maps.

Introduction: Traumatic dental injuries occur in children with great frequency because of falls in schools, fighting or falls during riding a bike, making it necessary to visit a dentist. One of the most serious dental injuries is avulsion in which the tooth Completely comes out of the dental socket. In the clinical view the socket is empty or it is filled by a clot. These injuries make the child and the parents extremely anxious because if avulsion is not managed immediately and properly it has dangerous side effect, like loss of the permanent tooth, esthetic problems, loss of self-confidence, malocclusion and malnutrition. The aim of this literature review was to collect the latest guidelines about avulsed teeth.Review Report: Electronic search was carried out in Pubmed and Medline for controlled randomized clinical trials and review articles and American Association of Endodontists guidelines about diagnosis, treatment plan and follow-up of avulsed teeth. Articles were collected until the end of March 2013.Conclusion: Since general dentists face this condition more than others they are in the first line of treatment such children and can pervert most of the side effects with proper treatment. Therefore, having the latest knowledge about diagnosis, treatment plan and follow-up of avulsed teeth is essential for all the general dentists and specialists.