Recommendation decision-making algorithm for sharing accommodation using probabilistic hesitant fuzzy sets and bipartite network projection

Qian Cao,Zengwen Wang,Shitao Zhang,Xiaodi Liu,Jian Wu

doi:10.1007/s40747-020-00142-7

Abstract

In recent years, with the uninterrupted development of sharing accommodation, it not only caters to the diversified accommodation of tourists, but also takes an active role in expanding employment and entrepreneurship channels, enhancing the income of urban and rural residents, and promoting the revitalization of rural areas. However, with the continuous expansion of the scale of sharing accommodation, it is fairly complicated for users to search appropriate services or information. The decision-making problems become more and more complicated. Hence, a probabilistic hesitant fuzzy recommendation decision-making algorithm based on bipartite network projection is proposed in this paper. First of all, combining the users’ decision-making information and the experts’ evaluation information, a bipartite graph connecting users and alternatives is established. Then, the satisfaction degree of probabilistic hesitant fuzzy element is defined. Besides, the recommended alternative is obtained by the allocation of resources. Finally, a numerical case of Airbnb users is given to illustrate the feasibility and effectiveness of the proposed method.

Highlights

With the rapid development of emerging technologies and continuous upgrade of municipal and rural tourism consumption and services, sharing accommodation has gradually gone into people’s sight
Due to the uncertainty of users’ recommendation content, Probabilistic hesitant fuzzy set (PHFS) which can be thought as an effective tool for modeling the uncertainty is utilized to present the evaluation information in this paper. Considering those advantages of PHFS, we introduce it into the bipartite network projection, and establish a novel bipartite graph network which integrates users’ decision information and experts’ evaluation information simultaneously
We establish bipartite network between users and alternatives based on probabilistic hesitant fuzzy element (PHFE)

Summary

Introduction

With the rapid development of emerging technologies and continuous upgrade of municipal and rural tourism consumption and services, sharing accommodation has gradually gone into people’s sight. Combining probabilistic hesitant fuzzy information with the bipartite graph network, a recommendation decision-making algorithm is proposed. According to users’ requirement, the evaluation values for alternatives take the form of PHFEs. the probabilistic hesitant fuzzy decision-making matrix is expressed as follows: φ(h11( p11)) φ(h12( p12)) · · · φ(h1m ( p1m )). We could recommend alternative Ao for user Ur by analyzing the preference of user Uh. Based on the above analysis, a recommendation decisionmaking algorithm based on probabilistic hesitant fuzzy bipartite graph network is summarized as below: Step 1. We establish bipartite network between users and alternatives based on PHFEs. Users’ requirements for attributes and the satisfaction degree of PHFEs are considered simultaneously.

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Findings

Conclusion