Paper Info
Title
Fuzzy regression analysis: An application on tensile strength of materials and hardness scales
Abstract
In the present paper we use fuzzy linear regression analysis and fuzzy similarity to investigate the relation of various hardness scales to tensile strength of materials. We examine the relation of the Vickers, Brinell, Rockwell C and Shore Scleroscope hardness scales with tensile strength in a common measurement range. The fuzzy regression models that result show the existence of a linear relation. Further analysis of the resulting models with fuzzy similarity results indicates strong similarities between models of different hardness scales. The results indicate that this similarity of the fuzzy regression reflects the underling similarity of the physical quantities of materials that are measured on the different hardness scales. A comparison with conventional linear regression analysis shows that the ambiguities of the model are better reflected in the case of fuzzy regression models.
Year
DOI
Venue
2012
10.3233/IFS-2012-0507
Journal of Intelligent and Fuzzy Systems
Keywords
DocType
Volume
underling similarity,different hardness scale,Shore Scleroscope hardness scale,fuzzy regression model,fuzzy regression,fuzzy regression analysis,fuzzy similarity result,conventional linear regression analysis,tensile strength,fuzzy linear regression analysis,strong similarity,fuzzy similarity
Journal
23
Issue
ISSN
Citations 
5
1064-1246
3
PageRank 
References 
Authors
0.42
6
3
Name
Order
Citations
PageRank
T. E. Karakasidis141.45
D. N. Georgiou2122.96
Juan J. Nieto355981.45