Measuring Network-Based Public Transit Performance Using Fuzzy Measures and Fuzzy Integrals

Abstract

This paper proposes an indicator integration model to measure network-based public transit performance. Coverage, directness, and connectivity indicators were used to measure network-based public transit performances individually. The three indicators exist preferential dependence problem in eliciting indicator weights. The value judgments by 40 representatives were collected by using fuzzy measures. Subsequently, fuzzy integrals were applied to integrate the three indicators considering their preferential dependence. The major contributions are twofold: one contribution is providing a comprehensive performance measurement for multimodal transit networks and the other is resolving preferential dependence between the three indicators. A case study of Taipei City was also discussed to demonstrate the application of the integration model. Five major results were derived from the study: (1) according to the decision group preferences, coverage was preferred to directness, and directness was preferred to connectivity; (2) the districts of Taipei City in the central business district (CBD) generally feature high transit coverage compared with the districts in the surrounding areas; (3) the districts in the surrounding areas generally exhibit high transit connectivity compared with the districts in the CBD; (4) the 12 districts of Taipei City do not differ substantially in transit directness performance; and (5) most of the districts of Taipei City in the CBD exhibit relatively better comprehensive transit performance than the districts in the surrounding areas.