One of the most important problems in the field of transportation planning is the problem of Origin-destination estimation from link counts. In order to decrease the cost of passenger surveys, traffic count are undertaken on certain links of the transportation network. In the next phase an origin-destination matrix is estimated from the link counts. In the last two decades a greater number of models have been developed for origin-destination estimation from link counts. Xu and Chan (1993a, b) [49, 50] were the first to use the fuzzy set theory techniques when analyzing the problems arising from the poor quality of link count data. As known, traffic counts are often subject to errors. Xu and Chan (1993a, b) [49, 50] particularly pointed out the problem of traffic counts in countries such as China in which mixed urban traffic flow with heavy bicycle volume is common. In such situations the heavy bicycle volume also makes precise vehicular counts very difficult. Xu and Chan