An interactive fuzzy satisficing approach using Genetic Algorithm for multi-objective problems

This paper describes a fuzzy satisficing method for multi-objective optimization problems using Genetic Algorithm (GA). A multi-objective design problem with constraints is expressed as a satisficing problem of constraints by introducing an aspiration level for each objective. Here, in order to handle fuzziness involved in aspiration levels and constraints, the unsatisfying function is introduced, and the problem is formulated as a multi-objective minimization problem of unsatisfaction ratings. As the optimization method, GA is employed. He/She can seek a satisficing solution by modifying parameters interactively according to his/her preferences.