Potential evapotranspiration (PET) is an effective variable in the hydrological cycle which has a determinative role in the amount of water consumption, especially in agricultural sectors. Considering the effect of climatic variables and their changes on the rate of PET, in this research, the effects of changes in six climatic variables on the rate of PET were evaluated at seven levels, namely -20%, -10%, -5%, observed or actual data, +5%, +10%, and +20%. In this study, five stations were used from March 21, 1988, to January 20, 2019, on the daily and seasonal time scales. The fuzzy clustering algorithm (FCA) was applied to evaluate the effect of the changes in climatic variables on the PET. The results indicated that the sensitivity of PET to the increasing changes in the mean daily maximum and minimum temperature, the mean daily maximum and minimum relative humidity, and the mean daily wind speed variables were more than the decreasing changes. Our analysis indicates, on daily and seasonal time scales, PET was most sensitive to changes in the maximum temperature. A 20% increase in maximum temperature corresponds to a 10% increase in the rate of PET. Also, PET was least sensitive to changes in the minimum temperature. A 20% increase in minimum temperature corresponds to a 0.5% increase in the rate of PET. The results showed that the effect of change in maximum temperature and minimum temperature variables on the PET values in warmer seasons such as summer and spring was more than in colder seasons such as winter and autumn.