• Sheikh Ahmed Hossain

The huge growth of mutual fund (MF) industries paying attention to individual institutions to invest in mutual funds. This become an important instrument to gain wealth with less risk. Thus to get an idea about an MF one has to go through the performance of the MFs. The measurement of performance of asset management company (AMC) and a particular mutual fund is not simple matter, it depends upon several criteria which are both quantitative and qualitative in nature. These variables contain a large amount of uncertainties. Type 1 and type 2 fuzzy sets can be used to meet uncertainties. One of the key measures to analyse the performance of MFs is ranking of MFs. Type 2 fuzzy sets with critical reduction techniques developed for credibility value-at-risk (VaR) which maps a fuzzy credibility space to the real number space. I have introduced fuzzy data envelopment analysis in type 2 fuzzy environment and model is designed with inputs and outputs, which can be solved numerically using general purpose software (LINGO 14.0). Finally, a case study is presented to rank a number of MFs from Indian Asset Management Companies (AMC) on the basis of their efficiencies using proposed DEA-VaR reduction model.

Mutual Funds, Data Envelopment Analysis, Type-2 Fuzzy Variable, value-at-risk (VaR), Critical value, Performance Evaluation

"Performance Ranking using Type-2 Fuzzy DEA: An Application to Indian Mutual Fund Industry", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 1, page no.30-41, January-2019, Available :http://www.jetir.org/papers/JETIR1901E06.pdf

"Performance Ranking using Type-2 Fuzzy DEA: An Application to Indian Mutual Fund Industry", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 1, page no. pp30-41, January-2019, Available at : http://www.jetir.org/papers/JETIR1901E06.pdf