Many models of the forecasting have been proposed on stock index. In this paper, the consideration of Taiwan Stock Exchange Capitalization Weights Stock Index (TAIEX) has been taken and founded forecasted index value. Here forecasting is done by using Quantity based fuzzy time series (QBFTS), Quantity based factor TAIEX and forecasting methods are QBFLR and QBFLRGs. The approach of Statistical weights assigned for different weights to various quantity based fuzzy logical relationships for considered quantity-based dataset of TAIEX. Hence got the comparative result better than the other models.