Water Consumption Prediction of Istanbul City by Using Fuzzy Logic Approach

This paper presents a Takagi Sugeno (TS) fuzzy method for predicting future monthly water consumption values from three antecedent water consumption amounts, which are considered as independent variables. Mean square error (MSE) values for different model configurations are obtained, and the most effective model is selected. It is expected that this model will be more extensively used than Markov or ARIMA (AutoRegressive Integrated Moving Average) models commonly available for stochastic modeling and predictions. The TS fuzzy model does not have restrictive assumptions such as the stationarity and ergodicity which are primary requirements for the stochastic modeling. The TS fuzzy model is applied to monthly water consumption fluctuations of Istanbul city in Turkey. In the prediction procedure only lag one is considered. It is observed that the TS fuzzy model preserves the statistical properties. This model also helps to make predictions with less than 10% relative error.

[1]  Lotfi A. Zadeh,et al.  Fuzzy Algorithms , 1968, Inf. Control..

[2]  Ebrahim Mamdani,et al.  Applications of fuzzy algorithms for control of a simple dynamic plant , 1974 .

[3]  C. P. Pappis,et al.  A Fuzzy Logic Controller for a Trafc Junction , 1977, IEEE Transactions on Systems, Man, and Cybernetics.

[4]  C Pappis,et al.  A FUZZY CONTROLLER FOR A TRAFFIC JUNCTION. INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS (IEEE) , 1977 .

[5]  David R. Maidment,et al.  Time patterns of water use in six Texas cities , 1984 .

[6]  David R. Maidment,et al.  Cascade Model of Monthly Municipal Water Use , 1984 .

[7]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[8]  IWR-MAIN Water Use Forecasting System. Version 5.1. User's Manual and System Description , 1987 .

[9]  Juan B. Valdés,et al.  Rainfall Intervention Analysis for On‐Line Applications , 1989 .

[10]  L. Mays,et al.  Hydrosystems engineering and management , 1991 .

[11]  Janusz Kindler.  Rationalizing Water Requirements with Aid of Fuzzy Allocation Model , 1992 .

[12]  Markus Disse,et al.  Fuzzy rule-based models for infiltration , 1993 .

[13]  Peggy A. Johnson,et al.  Modeling Uncertainty in Prediction of Pier Scour , 1996 .

[14]  Lucien Duckstein,et al.  Fuzzy Rule-Based Modeling of Reservoir Operation , 1996 .

[15]  Dong-Hoon Park,et al.  Fuzzy expert system to determine stream water quality classification from ecological information , 1997 .

[16]  Zekai Şen,et al.  Fuzzy algorithm for estimation of solar irradiation from sunshine duration , 1998 .

[17]  L. Yang.  Fuzzy Logic with Engineering Applications , 1999 .

[18]  Christine W. Chan,et al.  A toolset for construction of hybrid intelligent forecasting systems: application for water demand prediction , 1999, Artif. Intell. Eng..

[19]  I. Bogardi,et al.  Application of fuzzy rule-based modeling technique to regional drought , 1999 .

[20]  S Vedula,et al.  Multireservoir System Optimization using Fuzzy Mathematical Programming , 2000 .

[21]  F. Mora-Camino,et al.  A fuzzy modeling approach for the long term management of water resource systems , 2000, Ninth IEEE International Conference on Fuzzy Systems. FUZZ- IEEE 2000 (Cat. No.00CH37063).

[22]  Asaad Y. Shamseldin,et al.  A non-linear combination of the forecasts of rainfall-runoff models by the first-order Takagi–Sugeno fuzzy system , 2001 .

[23]  Mohammed Lu’ay Jamal Froukh,et al.  Decision-Support System for Domestic Water Demand Forecasting and Management , 2001 .

[24]  Ashu Jain,et al.  Short-Term Water Demand Forecast Modelling at IIT Kanpur Using Artificial Neural Networks , 2001 .

[25]  T. McMahon,et al.  Forecasting operational demand for an urban water supply zone , 2002 .

[26]  Shuta Murakami,et al.  Fuzzy prediction model for water demand prediction using an interpolative fuzzy reasoning method , 2003, Int. J. Syst. Sci..

[27]  Mehmet Özger,et al.  Autorun Persistence of Hydrologic Design , 2003 .

[28]  Abdüsselam Altunkaynak,et al.  Fuzzy awakening in rainfall-runoff modeling , 2004 .