A Pythagorean fuzzy model has more flexibility to deal with human evaluation information than other fuzzy and vague models. In this article, the notions of normal arc, normal dominating set, normal domination number, abnormal independent set, abnormal independent number, normal cobondage set, and normal cobondage number are introduced, and some the relevant results are investigated. Eventually, a utilization relevant to decision making according to influencing factors on the company’s efficiency is presented. The presented model is a factor-based model, where the impact score of each factor is divided into two types of direct and indirect influence.