Effects and relationships of parameters in a rule-based fuzzy system

Hierarchies of criteria and fuzzy rule systems represent an approach which effectively portrays the problem of multiple objectives found in classic decision-making scenarios such as order sequencing or the evaluation of various corporate strategies. They further help the decision-maker to select a concrete course of action. The relevant decision criteria are formalized with the help of linguistic variables. A hierarchy of criteria is then used to relate them to one another and to combine them by rule-bases. Evaluation using fuzzy sets leads to an aggregated rating of the individual alternatives. A problem of such fuzzy systems is the large number of required parameters and their influence on the evaluation results. This article will use the example of a simple criteria hierarchy for a sequencing problem to analyze the effects of individual parameters and their relationships amongst one another in a fuzzy system.