Multidimensional Granular Approach to Solving Fuzzy Complex System of Linear Equations

This chapter delves into the intricate world of fuzzy complex systems of linear equations, offering a groundbreaking multidimensional granular approach to their solution. By introducing the concept of horizontal membership functions (HMF) for fuzzy complex numbers, the authors provide a robust framework for solving these complex systems. The chapter begins with a thorough theoretical foundation, exploring the definitions and arithmetic of fuzzy numbers, fuzzy complex numbers, and their HMFs. It then applies this theoretical background to solve practical examples of fuzzy complex linear systems, demonstrating the effectiveness of the proposed method. The authors also compare their results with existing methods, highlighting the advantages and fullness of their approach. The chapter concludes with a discussion on the broader applications of the HMF concept in granular computations, inviting further exploration and research in this fascinating field. Readers will gain valuable insights into the application of fuzzy logic and complex systems, making this chapter an essential read for those seeking to advance their understanding and expertise in these areas.