Abstract

The problem of location selection of passenger station belongs to multi-attribute decision making problem. In order to obtain the mathematical model of multi-attribute decision making (MADM) under the condition of group decision making, triangular fuzzy number is introduced into MADM in this research. Entries in decision matrix and weights of all criterions are represented by triangular fuzzy number. A vertex method is proposed to calculate the distance between two triangular fuzzy numbers. According to the concept of the TOPSIS, a closeness coefficient is defined to determine the ranking order of all alternatives by calculating the distances to both the fuzzy positive-ideal solution (FPIS) and fuzzy negative-ideal solution (FNIS) simultaneously.

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