Iranian Statistical Society Journal of the Iranian Statistical Society 1726-4057 24 2 2025 12 01 Support vector fuzzy regression with fuzzy input-fuzzy output and fuzzy error 107 124 735131 10.22034/jirss.2026.2075601.1148 EN Azam Moghadam Department of Statistics, Faculty of Mathematical Sciences and Statistics, University of Birjand, Birjand, Iran. Mohsen Arefi Department of Statistics, Univrsity of Birjand, Birjand Iran Journal Article 2025 10 23 In this paper, we investigate a new approach of fuzzy regression analysis based on support vectors when the available data and error variable are fuzzy quantities. In this approach, based on the concept of the distance between two parallel hyper planes, we obtain the marginal hyper planes and then, based on some constraints on the fuzzy data, we present an optimization problem to estimate the parameters of fuzzy regression model. The proposed method is investigated in two cases: with fuzzy fixed error and with fuzzy variable errors. To evaluate the proposed support vector fuzzy regression (SVFR) models, we present two indices of goodness of fit. Based on these indices, the presented SVFR models are compared with some other approaches on the numerical and simulated examples. https://jirss.irstat.ir/article_735131_83d1078de280d0efaea83bf7120a2172.pdf