A Novel Model of Set Pair Analysis Coupled with Extenics for Evaluation of Surrounding Rock Stability

作者：Wang, Mingwu^*; Xu, Xinyu; Li, Jian; Jin, Juliang; Shen, Fengqiang

来源：Mathematical Problems in Engineering, 2015, 2015: 892549.

DOI：10.1155/2015/892549

• Classification standard
• Evaluation indicators
• Membership degrees
• Set pair analysis
• Surrounding rock stability
• Triangular fuzzy numbers
• Uncertainty factors
• Variable fuzzy set

The evaluation of surrounding rock stability is a complex problem involving numerous uncertainty factors. Here, based on set pair analysis (SPA) coupled with extenics, a novel model, considering incompatibility, certainty, and uncertainty of evaluation indicators, was presented to analyze the surrounding rock stability. In this model, extension set was first utilized to describe the actual problem of surrounding rock stability. Then, the connectional membership degree of the set pair was introduced to compare themeasured values with classification standards fromthree aspects embracing identity, discrepancy, and contrary. Also, according to identity-discrepancy-contrary (IDC) analysis in the universe of the extension set, the connection numbers were proposed to specify the connectional membership degree of an evaluation indicator to each class. Combined with the weights of evaluation indicators, integrated connectional membership degrees were calculated to determine their classes of rock stability. Finally, a case study and comparison with variable fuzzy set method, triangular fuzzy number method, and basic quality (BQ) grading method were performed to confirm the validity and reliability of the proposed model. The results show that this model can effectively and quantitatively express the differences within a group, transformation of different groups, and uncertainty of complex indicators as a whole.

• 出版日期2015
• 单位合肥工业大学