The Application of Probabilistic Hesitation Fuzzy Lingustic in Urban Livability

Abstract

With the continuous improvement of residents' living conditions and the improvement of spiritual civilization construction, urban livability has become the focus of attention of the government and urban residents, as well as a hot topic of research by experts and scholars at home and abroad. How to choose a suitable city to live in has become a group decision-making (GDM) problem that we have to deal with. However, the changeable decision environment leads to the fact that the decision information of the above GDM problem cannot be expressed by traditional display values. Therefore, we choose the probabilistic hesitation fuzzy linguistic term set (PHFLTS) and then study the consensus among preference relations (PRs). This paper will study the group consensus model based on PHFLTS. At present, it has been studied in supply chain management, public opinion prediction and other fields. This paper first defines the concept of PHFLTS and distance measure, then defines the similarity measure and the consistency index (CI) based on the distance measure, constructs the group consensus level (GCI), can express the uncertain preference information given by the decision maker more comprehensively. Finally, specific example is given to rank the cities and the future research direction is prospected.