Abstract
The development of information technologies requires improvement of simulation methods and mathematical apparatus. The mathematical apparatus of Petri nets is used for simulation of parallel asynchronous systems and has a broad scope. The modified fuzzy Petri nets expand the modeling capabilities of Petri nets by combining the properties of different extensions. Modified extension can serve for construction of models with a complex structure and logic of operation with the use of fuzzy logic apparatus for control on the basis of the system of production rules.
Highlights
Modeling of information processes and systems becomes an urgent task for business and industry
The article introduces the mathematical apparatus of the modified fuzzy Petri nets (MFPN)
S is the vector of time stamps of MFPN transitions S = (s1, s2,...,sn ), si N {0} ; The inclusion of new types of positions and transitions does not allow to use the existing rules of CPN or FPN functioning
Summary
Modeling of information processes and systems becomes an urgent task for business and industry. Information support of production processes is a guarantee of effective performance and determines the success of the enterprise to a large extent. Stable operation is provided by the application of simulation on every stage of the life cycle of information and technical systems. The urgency of developing new approaches to modeling and development of the existing mathematical apparatus increases, considering the complexity of modern software products and technical means. The article introduces the mathematical apparatus of the modified fuzzy Petri nets (MFPN). A description of the structure of the MFPN apparatus is provided. The possibility of constructing a system of fuzzy output on the basis of MFPN, which can enable fuzzy control implementation in Petri net models, is described
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