Possibilistic linear systems and their application to the linear regression model
Fuzzy Sets and Systems
An approach to causal modeling in fuzzy environment and its application
Fuzzy Sets and Systems
Fuzzy systems theory and its applications
Fuzzy systems theory and its applications
Development of a cost function for wastewater treatment systems with fuzzy regression
Fuzzy Sets and Systems
Similarities in fuzzy regression models
Journal of Optimization Theory and Applications
Fuzzy Rule-Based Modeling with Applications to Geophysical, Biological, and Engineering Systems
Fuzzy Rule-Based Modeling with Applications to Geophysical, Biological, and Engineering Systems
Insight of a fuzzy regression model
Fuzzy Sets and Systems
Modeling of thermal comfort in air conditioned rooms by fuzzy regression analysis
Mathematical and Computer Modelling: An International Journal
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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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.