An optimization model with quasi S shape fuzzy data

In this paper a regression model is employed for fuzzy data of approximately S shape type. In other words, it is the membership functions belonging to the specified category, except certain areas which are linearized. This additional feature is introduced for reasons related to the regression used but also for better modeling of certain phenomena. The second reason mentioned is related to the fact that the ratio between linearized zones and the rest of the membership function graph is flexible; it can be adjusted depending on some particularities of the modeled process. The end result is one with a high degree of generality from, among others, the use of parameters that can take various particular values