Modeling transaction costs and skewness in portfolio: Application of fuzzy approach

How to deal with errors in estimating return and trading costs is a critical issue in portfolio management. In this paper, we investigate the over-time rebalancing benefits of the portfolio models that consider mean, variance, skewness, allowing short-sale, and transaction costs by incorporating fuzzy decision making. We apply multiple criterion method to deal with the complexity of various objectives. Our empirical results using 144 stocks in Taiwan Stock Exchange confirm the benefits of fuzzy decision making with inclusion of higher moment risk, skewness, in portfolio model, particularly when short-sale is allowed.