Abstract
A fuzzy linear regression analysis is performed to study the cost function of wastewater that is developed by using a pool of data from 26 municipal wastewater treatment systems in Taiwan. The choice of a primary or more higher wastewater treatment process is intimately related to financial, land availability, effluent standards and managerial factors. Especially, financial consideration plays an important role in the planning stage. In addition, cost estimation is difficult to precisely evaluate in an uncertain environment. In the conventional regression model, deviations between the observed values and the estimated values are supposed to be due to measurement errors. Here, taking a different perspective, these deviations are regarded as the fuzziness of the system's parameters. Thus, these deviations are reflected in a linear function with fuzzy parameters. Using linear programming algorithm, this fuzzy linear regression model might be very convenient and useful for finding a fuzzy structure in an evaluation system. In this paper, the details of the fuzzy linear regression concept and its applications to the cost function in an uncertain environment are shown and discussed.
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