Towards Optimization of Triangular Norms in Weighted Fuzzy Petri Nets for Hierarchical Applications in Subject Area of Passenger Transport Logistics

Abstract

The paper presents a comparison of classical (ZtN, GtN, ZsN) and optimized (ZtN, ZtN, LsN) triples of functions for solving the hierarchical structure of the problem of passenger transport logistics. It covers the description of the subject area and its hierarchical scheme, the creation of production rules based on the knowledge of the experts, the creation of a weighted fuzzy Petri nets model with different triples, and the following analysis of the results. In order to illustrate the obtained results, a simulation was used in special software - PNeS®. The results of the experiment showed the development of the hierarchy and the following observation on calculations: the optimized triple of functions achieves higher output values, but at the same time, it can lead to an alternative decision.