Attribute Reduction Procedure Based on Hesitant Fuzzy Linguistic Term Sets with Granularity Levels

This section mainly studies the attribute reduction method based on the hesitant fuzzy linguistic term sets with granularity levels. Firstly, some concepts and operators are proposed to deal with decision matrix containing objective information and subjective information, and factor analysis method based on hesitant fuzzy linguistic model is proposed for attribute reduction. Then, a decision-making method based on probabilistic linguistic preference relations with granularity levels is proposed to integrate the hesitant fuzzy linguistic information given by decision makers and handle the group decision-making process. Finally, a questionnaire is designed and a survey is carried out. The proposed method is applied to the evaluation of the physical and mental health of graduate students, and the advantages of the proposed method are verified through comparative analysis.