A Novel Model of Set Pair Analysis Coupled with Extenics for Evaluation of Surrounding Rock Stability
Joint Authors
Xu, Xinyu
Jin, Juliang
Shen, Fengqiang
Wang, Mingwu
Li, Jian
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-27
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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 the measured values with classification standards from three 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.
American Psychological Association (APA)
Wang, Mingwu& Xu, Xinyu& Li, Jian& Jin, Juliang& Shen, Fengqiang. 2015. A Novel Model of Set Pair Analysis Coupled with Extenics for Evaluation of Surrounding Rock Stability. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1074972
Modern Language Association (MLA)
Wang, Mingwu…[et al.]. A Novel Model of Set Pair Analysis Coupled with Extenics for Evaluation of Surrounding Rock Stability. Mathematical Problems in Engineering No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1074972
American Medical Association (AMA)
Wang, Mingwu& Xu, Xinyu& Li, Jian& Jin, Juliang& Shen, Fengqiang. A Novel Model of Set Pair Analysis Coupled with Extenics for Evaluation of Surrounding Rock Stability. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1074972
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074972