Evaluation of Fuzzy Implications and Intuitive Criteria of GMP and GMT using MATLAB GUI

Abstract

The events or conditions with inherent uncertainties can be efficiently modeled using fuzzy logic (FL) approach. The approximate reasoning feature of FL makes it a very powerful tool for developing a variety of applications which require a logical reasoning or inferencing. The performance of each of such applications depends upon the various ingredients of FL such as: membership functions, a rule base consisting of different IF-THEN rules, implication methods for rule interpretation, aggregation methods, and defuzzification methods. However, any new or existing implication method to fit into FL requires satisfying intuitive criteria of Generalized Modus Ponens (GMP) and Generalized Modus Tollens (GMT). In this chapter we present a systematic approach to study existing implication methods with a given set of intuitive criteria of GMP and GMT. In order to do so, we use MATLAB and related graphics tools to develop a user interactive package to evaluate the implication methods w.r.t. these criteria. The results are provided in terms of tables and figures.