Farwa RazaCIIT/FA21-RMT-035/LHRDr. Hani Shaker2026-03-192023https://repository.cuilahore.edu.pk/handle/123456789/2967In the domain of set theory, fuzzy mathematics is an extension of traditional mathematics. From the inspection of literature on fuzzy mathematics, Simple observation reveals that fuzzy set theory hold a broad scope of mathematical contents that were previously known. It has a comprehensive applications, containing automobiles, transport systems, communi- cation, and other activities. The main idea of a FS, provides an appropriate framework for both constructing new region of fuzzy mathematics. The most important region of research is to expand the concepts of PFTSs, which are basically extensions of FTSs and IFTSs. Here we study, to develop the concept of CPFTSs and CPF continuity of a mapping among them. Also, we will discuss some useful features of these concepts. Furthermore, we will design a CPFT on an accessible nonempty reference set using continuity ideas. We will begin by going over some definitions and fundamental concepts, including fuzzy sets, and fuzzy topological spaces. These ideas will be extremely useful to us as we do this research. After that, we’ll explore PFTSs. By using this idea, our major main goal to expand and used to distinguish between FTS and IFTS, also aim develop the concept in cubic form and continuity map between them. Furthermore, we will design it on a nonempty reference set using continuity ideas.en-USOn Cubic Pythagorean Fuzzy Topological Spaces and their PropertiesThesis