A Detection Method of Influential Observations for Possibilistic Linear Regression Analysis for Fuzzy Input-Output Data and Its Application
نویسندگان
چکیده
منابع مشابه
Multiple Fuzzy Regression Model for Fuzzy Input-Output Data
A novel approach to the problem of regression modeling for fuzzy input-output data is introduced.In order to estimate the parameters of the model, a distance on the space of interval-valued quantities is employed.By minimizing the sum of squared errors, a class of regression models is derived based on the interval-valued data obtained from the $alpha$-level sets of fuzzy input-output data.Then,...
متن کاملFuzzy linear regression analysis for fuzzy input-output data
In this paper, we have presented a new method to evaluate fuzzy linear regression models based on Tanaka’s approach, where both input data and output data are fuzzy numbers, using Tw-based fuzzy arithmetic operations. This method simpli3es the computation of fuzzy arithmetic operations. General linear program is applied to derive the solutions. We also prove scale-independent property of our mo...
متن کاملPossibilistic linear regression analysis for fuzzy data
Fuzzy data given by expert knowledge can be regarded as a possibility distribution by which possibilistic linear systems are defined. Recently, it has become important to deal with fuzzy data in connection with expert knowledge. Three formulations of possibilistic linear regression analysis are proposed here to deal with fuzzy data. Since our formulations can be reduced to linear programming pr...
متن کاملLinear regression analysis for fuzzy/crisp input and fuzzy/crisp output data
In order to estimate fuzzy regression models, possibilistic and least-squares procedures can be considered. By taking into account a least-squares approach, regression models with crisp or fuzzy inputs and crisp or fuzzy output are suggested. In particular, for these fuzzy regression models, unconstrained and constrained (with inequality restrictions) least-squares estimation procedures are dev...
متن کاملFuzzy least-squares linear regression analysis for fuzzy input-output data
A fuzzy regression model is used in evaluating the functional relationship between the dependent and independent variables in a fuzzy environment. Most fuzzy regression models are considered to be fuzzy outputs and parameters but non-fuzzy (crisp) inputs. In general, there are two approaches in the analysis of fuzzy regression models: linear-programmingbased methods and fuzzy least-squares meth...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Japan Society for Fuzzy Theory and Systems
سال: 2001
ISSN: 0915-647X,2432-9932
DOI: 10.3156/jfuzzy.13.6_652