ABOUT FUZZY STRUCTURES IN MATHEMATICAL ANALYSIS

In the present article, we examine continuous phases using analytical structures. Based on our analysis of the concepts of continuity and differentiability in the continuous phase, we study the behavior of systems and their applications. Mathematical analysis structures such as continuity, sequences, differentiability, uniformly continuous sequences of functions, and so forth, are not only extensively used in the examination and analysis of the properties of phase function structures, but they also have led to the development of new perspectives in the theory of classical phase models. We demonstrate how differentiable phases introduce systems. Additionally, we study uniformly continuous phases and trace the behavior of systems by examining the behavior of sequences of other systems.