Novel Classes of Fuzzy Nano Open Sets and Their Medical Applications: A Topological  Approach to Diabetes Analysis and Prodrome Elimination

Dalia R. Abd; Entisar Majid Khazil; Gazwan Haider Abdulhusein

doi:10.5269/bspm.79115

Dalia R. Abd mustansiriyah university
Entisar Majid Khazil
Gazwan Haider Abdulhusein

Résumé

In this paper, we introduce a new class of fuzzy nano open sets, including fuzzy nano ϑ
preopen sets, fuzzy nano ϑe-open sets, fuzzy nano ϑe∗-open sets, fuzzy nano ϑa-open sets, and fuzzy nano
ϑ-semiopen sets. We explore the relationships among these sets within fuzzy nano topological spaces, providing
counterexamples where specific relationships do not hold. Additionally, we examine key characterizations and
properties of these sets in fuzzy nano topological spaces.Furthermore, we apply these findings to the medical
domain, particularly in analyzing conditions such as diabetes. Using fuzzy nano topology, we address the
elimination of prodromes within the system and identify essential factors contributing to diabetes. This is
achieved by constructing a basis in fuzzy nano topology, offering new insights and practical applications in
medical science.

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