On fuzzy rank-ordering in polyoptimization

Abstract

The application of polyoptimization in decision making gives the user a certain number of efficient points (in general obtained by numerical methods). For a final and reasonable solution (for instance in projecting in chemical engineering) this set must be reduced. This can be done using additional information. In the present paper we use statements on the pairwise comparison of importance between the several objective functions to facilitate reasonable decision making under consideration of given aspects such as distance measures regarding individual extrema. At this we desire from the decision maker (user) only fuzzy information on the . pairwise rank-ordering between the objectives, which often appears more reasonable than so-called 'crisp' quantitive statements, especially for practical problems. It is shown how to take advantage of Zadeh's theory of fuzzy sets (1965) for our aims. A numerical example is also investigated.