Fuzzy data analysis by possibilistic linear models
Fuzzy Sets and Systems - Fuzzy Numbers
Information Sciences: an International Journal
Possibilistic linear systems and their application to the linear regression model
Fuzzy Sets and Systems
Fuzzy linear regression with fuzzy intervals
Fuzzy Sets and Systems
Fuzzy Sets and Systems
S-curve regression model in fuzzy environment
Fuzzy Sets and Systems
A least-squares approach to fuzzy linear regression analysis
Computational Statistics & Data Analysis
Outliers detection and confidence interval modification in fuzzy regression
Fuzzy Sets and Systems
Expert Systems with Applications: An International Journal
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Existence of outlier data among the observation data leads to inaccurate results in modeling. Detection to omit or lessen the impact of such data has a significant effect to make corrections in a model. Either elimination or reduction of the outlier data influence is two ways to prevent their negative effect on the modeling. Both approaches of elimination and impact reduction are taken into account in dealing with the mentioned problem in fuzzy regression, where both the input and output data are non-fuzzy. The main idea is considered based on linguistic variables and possibility concept as well as ordinary regression to deal with the outlier data. Several examples as well as a case study are put into effect to show the capability of proposed approach.