Fuzzy logic as a new tool in the analysis of political and social phenomena is a concept and approach that has recently entered political science. This approach has introduced other new concepts such as uncertainty, relativity, degree of truth, feasibility (vs. probability) etc. into these sciences. This article, which has been written with a descriptive analytical method, while explaining the concept and what is logical in the science of science, searching in this field to why and how to apply the steps and skills necessary to perform such an analysis in the field of political science with analysts of phenomena Political and social. The results show that the logic of social and political developments is not linear, and different variables always play a role in events, and since socio-political phenomena are voluntary human affairs and the uncertainty and involvement of many variables play a role in such affairs and phenomena; Fuzzy logic, despite its characteristics such as uncertainty, relativity and multiplicity of variables, is a suitable theoretical foundation for the analysis of political and social phenomena, which can explain these affairs and processes in terms of infrastructure on the one hand, and on the other hand, provide a logical framework for achieving It provided correct results in political analysis.