Use of Order Fuzzy Numbers in a Fuzzy Logic Control System
摘要
This article presents an innovative example of designing a fuzzy controller utilizing ordered fuzzy numbers (OFN). Ordered fuzzy numbers allow for a precise consideration of both uncertainty and ordering of data in the context of fuzzy control. The study develops a fuzzy controller model where fuzzy membership functions are represented as ordered pairs of continuous real functions. The design process is discussed, taking into account both the theoretical foundations of ordered fuzzy numbers and the practical aspects of controller implementation. An analysis of the effectiveness of this approach is conducted using a specific control system as an example, demonstrating its ability to more precisely and flexibly adapt to changing conditions. Experimental results confirm that ordered fuzzy numbers constitute a promising tool in designing advanced fuzzy controllers capable of effectively dealing with the complexity and non-linearities in various control systems. The article proposes the formulation of directed fuzzy logic.