Higher order multivariate Markov chain model for fuzzy time series

Time series analysis is often related with the discovery of patterns and prediction of features. In this paper, multivariate Markov model in fuzzy time series method to allow multi factor forecasting problem is proposed. An attempt is made to forecast global surface temperature with presence of CO2 emission. The computation is carried out using fuzzy sets and transition probability vectors. A time series model has been determined by applying Fuzzy logic. Reliability of the randomness of the forecast values have been studied by implementing random number simulation technique. Numerical computations have been carried out in support of theoretical findings.