Exponential Membership Functions in Fuzzy Goal Programming: A Computational Application to a Production Problem in the Textile Industry

摘要

The linear membership function is considered the most common type that is used in fuzzy goal programs. In this paper, the exponential membership function, whether with increasing or with decreasing rate of change, is used. Each of the two types is utilized within a fuzzy goal program. Two main forms of fuzzy goal program are implemented. The first is based on the lexicographical minimization, while the second is based on a preemptive goal hierarchy. A computational comparison between the two forms is carried out on a production planning problem in the textile industry. This problem was in the form of fuzzy linear programming, and it is amended to be in the form of fuzzy goal programming.