Improving Fuzzy Network Models For the Analysis of Dynamic Interacting Processes in the State Space

Abstract

Most promising approaches that deal with dynamics of interacting processes do not take into consideration the fuzzy properties of all components and the state space of the model, the set of parameters and features of the subject domain. This leads us to create integrated systematic approach to solve these problems as a sole task for developing new effective mathematical fuzzy models that take into account the advantages of existing models, formal criteria and approaches, modern technologies, methods and tools for solving theoretical and practical tasks. The extended fuzzy Petri Networks and their further development are proposed with new capabilities to solve the analysis and adaptation problems depending on the peculiarities of the processes of the subjected area. The proposed approach which is mainly based on some general provisions for the development of color Petri nets and fuzzy colored Petri dishes, tends to create a new class of fuzzy Petri nets to effectively solve complex tasks while reducing the dimension of the model and complexity. The implementation of the model is focused on the use of modern information technologies. Colored Petri nets can be considered an effective tool for determining the size of network models. Limitations on the homogeneity of logical operations are presented taking into account fragments of fuzzy network models. This can be done by practical use of the presented models..