MIDDLE EUROPEAN SCIENTIFIC BULLETIN ISSN 2694-9970 63 Middle European Scientific Bulletin, Volume 37 | Jun-2023 https://cejsr.academicjournal.io Multiple Axiomatics Method and the Fuzzy Logic Constantinos Challoumis National and Kapodistrian University of Athens, University in Zografou, Greece ABSTRACT This paper is about the classic methods which are used in the analysis of economics. Therefore in this work are submitted the most common methodological approaches, which are used in economics. Thence, the terminology of axiomatic methods is scrutinized extendedly in this paper. Hence, the multiple axiomatics method is an improved model of the classic form of the Axiomatics Method. This means that the multiple axiomatics method uses repetitions to its structure to succeed to have more accurate hypotheses and finally better results. The fuzzy logic shows that behavioral economics and neo-classical economics are plausible to have simultaneously the rationality of neo-classical models and the imperfection of behavioral economics in a full agreement between assumption and results. The generator has a key role in the development and application of fuzzy logic to the models. KEYWORDS: multiple axiomatics, fuzzy logic. 1. Introduction In this section are described the fundamental principles of Axiomatics and the Q.E. method. The axiomatics stands on the assumption that we donโt know the result of one hypothesis. This is the key to the scrutiny of an economic theory that is under examination. The hypothesis of an economic theory is the basis for the further study of each economic model that is under examination. Therefore, the axiomatics are trying to answer the background of an economic analysis and to confirm that the initial hypothesis of the model is satisfied. If the hypothesis is satisfied then the model is consistent with the principles of the model that is under examination. Thence there are two cases for the results of the axiomatics. According to the first case, the axiomatics are satisfied because the hypothesis of the model after the examination of the model is satisfied. The second case is about the incident that the axiomatics are not satisfied, because the initial hypothesis of the model is not satisfied. Therefore, in this case, we conclude that the economic model is not sufficient. Then, the main concept of axiomatics stands on the correspondence of the initial hypothesis to the mathematical and economic result of the scrutiny. Since is plausible for the scientist to clarify the theory about the chosen model. The concept of the Q.E. theory is based on a methodology that stands on the determination of mathematic equations subject to conditions that are also considered (Miljand, 2020). One more important thing is the determination of the upper and the lower limit of the values of the independent variables. Forasmuch as, the dependent variable represents the behavior of the selected model, pending on a generator which produces random values to all the independent variables to configure the interaction between them and their behavior under different conditions. At least the basic study includes two facets which are: ๎ The analysis of the behavior of the model stands on the scrutiny of the structural characteristics of each model accordingly allowing with that way the extraction of general conclusions about the model which is under examination. ๎ The frequency analysis behavior scrutinizes the behavior of the dependent variables, but from the view of the number of appearances of a variable than another, estimating the impact that one independent variable has with one or more other independent variables. Electronic copy available at: https://ssrn.com/abstract=4490935