Research on bilateral matching decision method considering attribute association in heterogeneous information environment

One of the critical activities for bilateral matching decision is matching accuracy, which may be regarded as a type of bilateral matching decision problem with heterogeneous information and attribute association. This paper aims to develop a new fuzzy linear programming method to address such problems. In the proposed method, the multiple attributes are expressed as exact numbers, interval numbers, triangular fuzzy numbers, intuitionistic fuzzy numbers, linguistic terms, and neutrosophic numbers. Firstly, the distance of heterogeneous data and fuzzy measures are introduced; meanwhile, heterogeneous information attribute weights are calculated based on the Choquet integral. Then based on the psychological characteristics of matching participants' loss avoidance and superiority maximization, the lexicographical method is used to solve the multi-objective linear programming model to obtain the optimal bilateral transaction matching pair. Finally, an example of second-hand housing online rental-sales matching problems is analyzed to demonstrate the implementation process and applicability of the method proposed in this paper.