Fuzzy group model of traffic flow in street networks

The fuzzy version of group model of traffic flow in street networks is presented. At first definitions of vehicles groups and its elementary transformations are introduced. Then the generic transformer of vehicle groups at an entrance of intersection is derived and network evaluation performed. The introduction of the fuzzy group definition as fuzzy set of similar vehicle groups made possible to extend results have obtained for crisp model to fuzzy one. Vehicle group transformations were generalized to fuzzy environment by law of extension and new formulas for delay were derived. Remarks concerning delay defuzzyfication and advantages of fuzzy group model over crisp one ended the paper.