The use of Ordered Fuzzy Numbers for modelling changes in dynamic processes

This paper presents an efficient use of the Ordered Fuzzy Numbers model in the description of processes undergoing dynamic changes. The purpose of this model is to provide a representation of inaccurate quantitative data, and is an alternative to the standard fuzzy numbers model proposed by Zadeh. Ordered Fuzzy Numbers have an additional feature-a direction. Giving them a new potential in applications to represent trends in imprecise values. This new feature is presented and explained via a simplified model of the volume of liquid in a reservoir. The environment is changing dynamically and is described by the changes of inflow and outflow. The proposed example explains how to interpret the direction of Ordered Fuzzy Numbers and how to understand the results of calculations and its influence. Additionally, this paper presents a comparison of the results for Ordered Fuzzy Numbers with the results of Zadeh's classical fuzzy numbers applied to the same exemplary process.