In today's complex and changing environment, quality is a strategic word for all organizations, whether governmental, non-governmental, service-giving, manufacturing, etc., so a Hending to this topic is vital for organizations. At present, with regard to the new concept of quality, the quality strategy and strategy quality are considered crucial and modern managerial issues for competition and the success of every organization. There have been numerous definitions and descriptions of quality, but one of the most important problems of management is how this and other qualitative methods can become quantitative and thus be measurable. The fuzzy theory and logic has to some extent been able to solve this problem and formulate the qualitative methods with the help of linguistic variables, or the so-called natural language. The fuzzy logic, which has been interoduced to the field of science by Professor Lotfizadeh, has been of great assistance, especially to the organizational managers, by quantifying the qualitative issues and methods.In this study, we try to categorze quality with regard to the new concept of quality and its four indices: 1) Physical characteristics and condition, 2) Cost and Value, 3) on- time Delivery, 4) post-sale services, and by using MATLAB software. Finally, we offer an example for the better understanding of the model.