Abstract
We present a detection method of influential observations for possibilistic linear regression analysis, where input data and output data are represented by L-R fuzzy numbers. In this method, we use a sensitivity analysis using concepts of duality and its allowable right-hand side range in linear programming, in order to evaluate an effect of influential observations on fuzzy regression coefficients. The proposed method deals with two constraints corresponding to one observation using the dual variable and their allowable right-hand side ranges in primal problem. We demonstrate an application of the proposed method on consumer decision research that examines effects of multiattributes on behavioral intention.
