An implementation of coloring of non-disjoint union of fuzzy graphs and fuzzy inference systems to coordinate traffic flows in paired intersections.

In this paper, we have extended the formula of fuzzy chromatic number (FCN) for the non-disjoint union of two fuzzy graphs. Further, we constructed an algorithm based on the FCN for determining a fuzzy phase system in order to coordinate traffic flow of two paired intersections. By combining the fuzzy phase system and the fuzzy inference system, we were able to construct another algorithm to determine all possible phase timings for coordinating the intersections. Performance of the algorithms was evaluated through a case study at two intersections in Semarang City, Indonesia. The results showed that the proposed phase and timing systems for the two paired intersections could reduce the red and cycle times compared with the control of two intersections separately. The present findings might serve as a feasible proposal for congestion problems in any paired intersections. [ABSTRACT FROM AUTHOR]