This article explains discovery fuzzy optimal solution without transforming into crisp LP Problems and ranking method. On the other hand, an attempt has been made by newly introducing the triangular and pentagonal IFN to deal with FLP problems with all types of constraints. The maximization and minimization FLP problems are solved by different Big-M techniques which are further compared, and an optimal solution has been found. The purpose of this paper is to arrive at the finest technique for unraveling FLP problems with triangular IFN and pentagonal IFN. The various Big-M methods are compared to solve FLP problems and it is observed that the answers are identical in each case but Ghadle et.al (Alternative Big-M Method) requires less time and minimum iterations with desired IFOS.

In day to day life prediction of weather parameters play important role for planning in environment management fields. Predictive modelling of rainfall is very necessary criterion for water management resources. In time series analysis most effective autoregressive integrated moving average model (ARIMA) are used. In this paper, we set up various ARIMA models for prediction of rainfall from which ARIMA (1, 0, 0) (2, 0, 0)12 are best fitted models for future forecasting purpose. Forecasting the next three years has been described to decide water demand management priorities.

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