AN INTERACTIVE APPROACH BASED ON A GENETIC ALGORITHM FOR A TYPE OF QUADRATIC-PROGRAMMING PROBLEMS WITH FUZZY OBJECTIVE AND RESOURCES

A type of model of fuzzy quadratic programming problems (FQP) is propo sed. It describes the fuzzy objective and resource constraints with di fferent types of membership functions according to different types of fuzzy objective and fuzzy resource constraints in actual production pr oblems. This article develops an inexact approach to solve this type o f model of quadratic programming problems with fuzzy objective and res ource constraints. Instead of finding an exact optimal solution, we us e a Genetic Algorithm (GA) with mutation along the weighted gradient d irection to find a family of solutions with acceptable membership degr ees. Then by means of the human-computer interaction, the solutions pr eferred by the DM under different criteria can be achieved. (C) 1997 E lsevier Science Ltd. All rights reserved.