Abstract
To improve the travel efficiency of carpooling demanders and reduce travel costs, a carpooling matching decision-making method is proposed that considers preference satisfaction and time satisfaction in a probabilistic linguistic environment. First, the multiattribute many-to-one carpooling matching problem in the probabilistic linguistic environment is described. To solve this problem, based on probabilistic linguistic term set (PLTS) evaluation matrices, attribute prospect values are calculated via prospect theory, and based on probabilistic linguistic preference relations (PLPRs) for attributes, group consistency attribute weights are calculated. Second, cumulative prospect values are calculated by aggregating attribute prospect values and attribute weights and then standardized to obtain the preference satisfactions of passengers and drivers. Third, based on the interval expected waiting time provided by passengers and the estimated arrival time provided by drivers, the time satisfaction of passengers is calculated considering time tendency coefficients. Then, the comprehensive satisfaction of passengers is calculated by aggregating preference satisfaction and time satisfaction via the geometric average method. Furthermore, based on the comprehensive satisfaction of passengers and the preference satisfaction of drivers, a many-to-one carpooling matching model is constructed and then solved to obtain an optimal many-to-one carpooling matching scheme. An example analysis shows the effectiveness, reliability and accuracy of the proposed method. The main innovations of this study are as follows: (1) A calculation method for the improved score of PLTSs considering hesitation is proposed. (2) Two algorithms for calculating unknown attribute weights are designed based on PLPRs. (3) A calculation method for time satisfaction considering time tendency coefficients is presented. (4) A model for probabilistic linguistic multiattribute many-to-one carpooling matching considering time satisfaction is built.
Published Version
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