A multi-objective robust possibilistic programming approach to sustainable public transportation network design

As a critical component of sustainable development, transportation system should be designed such that it has positive impact on the economic, environmental, and social sustainability served region. In response, this study introduces concept passenger dissatisfaction with additional walking waiting as an indicator uses while optimizing transit network for perfectives. Due to lack knowledge about actual value different levels uncertainty in demand, multi-objective robust possibilistic programming approach (RPP?) is proposed solved by using interactive fuzzy approach. Different from other approaches, RPP? optimizes not only mean objective function chance constraint violations but also risk inherited uncertain parameters through considering absolute deviation function. Both advantage versus deterministic model its superiority against several approaches are demonstrated numerical studies. Furthermore, outcomes demonstrate decentralized way coefficients, i.e., risk-taking attitude, increase.