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Studying Some Fundamental Properties of Fuzzy Semi –Normal Spaces

Hassan Abid Al Hadi Ahmed Mathematics department, College of Science- University of Diyala, Iraq
Ruqaya Mohammed Hussen Mathematics department, College of Science- University of Diyala, Iraq

Abstract

The many kinds of fuzzy semi-normal spaces that are covered in detail in this chapter include fuzzy semi-star normal space (f.s*.normal space), fuzzy semi-normal space (f.s.normal space), and fuzzy semi-general normal space (f.sg.normal space). We use fuzzy semi-general open sets (f.sg-open set) to study the basic features of these spaces and to examine the interrelationships between them under certain constraints. We also present and analyze some more fuzzy spaces, including the S-regular space, the fuzzy semi-T1/2 space, and the semi-symmetric space. These spaces are examined in light of the fuzzy semi-normal spaces that were previously covered, emphasizing how they are related and, in certain cases, dependent on one another. The goal of this extensive study is to improve fuzzy topology theory and lay the groundwork for further investigations and real-world applications utilizing intricate fuzzy systems.

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