The simplest tool which man could found to interpret space is the concept of distance. The concept of distance gives a sense of duality and helps us to decide the positional difference between points. Our view is that, if the effect of the observer's point is counted in measuring distances between different points, then the measure may be more relevant. Keeping in mind the properties of metric space, we tried to establish new properties of distance by including the observer's point. Based on properties of angles, Sonwane and Prasad [29] established a mathematical structure called metron as a generalization of metric space. The present paper continues the study of Metron and proposes various metronlike structures by weakening some properties of metrons. The relationships between metron and metron-like structures are discussed by providing appropriate examples and diagrams.