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Some companies produce and sell all of their products through their own internal channels and some use multiple external channels to distribute goods to consumers. Many authors have presented mathematical model for channel allocation problem and solved them. We consider a mixed integer fuzzy goal programming model for channel allocation problem with three different fuzzy goals. In this paper we extend a fuzzy goal programming approach by combining the weighted root power mean method of aggregation with linear and non linear membership function. Different models are generated using weighted root power mean method of aggregation and priority based solutions are achieved using different membership functions.

A Fuzzy Goal Programming Approach for Channel Allocation Problem Using Linear and Non-Linear Membership Functions