Increasing and Decreasing with Fuzzy Time Series

There is a significant problem associated with the fuzzy time series. That is a strict increasing and decreasing case. Under the discussion case, fuzzy time series model arise a continuous increasing/decreasing forecasting value. From the illustrative example, we can see that our definition not only define the trend of the fuzzy numbers that represent the linguistic values of the linguistic variable more appropriately, but also can make the fuzzy time series reasonable.