Simulation of Dynamical Enterprises Process with Application of the Modification Fuzzy Net Petri

Simulation of dynamic interacting processes which describe the functioning of complicated objects in conditions of indeterminacy has been considered. The models of dynamic processes are presented in a form of fuzzy net Petri type \({V_f}\) . On the exampl

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Simulation of Dynamical Enterprises Process with Application of the Modification Fuzzy Net Petri Mahommed Aydin Ahmedov, Valeh Azad Mustafayev, Gafar Nariman Atayev and Shafahat Rahim Rahimov Abstract Simulation of dynamic interacting processes which describe the functioning of complicated objects in conditions of indeterminacy has been considered. The models of dynamic processes are presented in a form of fuzzy net Petri type V f . On the example of flexible manufacturing module of mechanical processing it was shown that the accepted rules of activate transitions describe completely the process of functioning of fuzzy net Petri type V f . Keywords Production model · Fuzzy petri net · Flexible manufacture module

76.1 Introduction One of the basic problems of the management theory is investigation and simulation of process which execute by different limiting conditions [4, 5, 8]. The basic criterions of solution difficulty of this problem are being complex structural and functional connections between the system elements, but not digital and linguistic parameter presentation of this connections, asynchrony of process, independent. For removal of this difficulty at present new methods, formalizations and simulation apparatus creation are demanding. In this connection, for efficiency solution of this problem it is necessary to develop system complex methods which are based by new mathematical models, simulation apparatus, algorithms and progressive computer technology [3, 10, 11]. The base of this problem is creation net Petri and its different extension of formalization. Thus, application of fuzzy net Petri and its different modifications for simulation M.A. Ahmedov (B) · S.R. Rahimov Department of Information Technology and Programming of Sumgait State University, Sumqayit, Azerbaijan e-mail: [email protected] V.A. Mustafayev · G.N. Atayev Department of Computer Sciences of Sumgait State University, Sumqayit, Azerbaijan © Springer Science+Business Media Singapore 2017 J. Xu et al. (eds.), Proceedings of the Tenth International Conference on Management Science and Engineering Management, Advances in Intelligent Systems and Computing 502, DOI 10.1007/978-981-10-1837-4_76

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dynamical connection which works in the conditions of fuzzy area is scientifictechnical problem.

76.2 Presentation of Rules of Fuzzy Productions as the Modified Fuzzy Net Petri The fuzzy models based on the rules of calculation with fuzzy nets are the evident and effective means of presentation of interactive dynamic processes representing data and knowledge as  if . . ., then . . . . In a general view to the rules fuzzy products is the expression [2, 7]: Q; X ; A ⇒ B, S, F, Y,

(76.1)

where i the name of fuzzy products: Q is characteristic of application area of fuzzy production; X is term of applicability of kernel of fuzzy production; A ⇒ B kernel of fuzzy production where A a condition of kernel or antecedent; B is a conclusion of kernel or consequent; ⇒ a sign of logical secession or following; S a method o