Fuzzy Semi- G – Regular And Fuzzy Semi – G – Normal Spaces

Authors

  • Hassan Abid Al-Hadi Department of Mathematics, College of Science, University of Diyala, Iraq
  • Noor Al-Huda A. Haider Department of Mathematics, College of Science, University of Diyala, Iraq

Keywords:

fuzzy sets, fuzzy point, fuzzy topological spaces(X ̃, Ť ), fuzzy generalized closed ( f s g - closed), fuzzy semi -regular, fuzzy semi normal, fuzzy semi g-regular, fuzzy semi g – normal spaces

Abstract

Objective: The aim of this paper is to introduce and study fuzzy sets and fuzzy point or the properties fuzzy sets and study two new classes of spaces, called Fuzzy semi-g-regular and fuzzy semi-g-normal spaces. Method: Fuzzy Semi-g-regularity and fuzzy semi-g-normality are separation properties obtained by utilizing fuzzy semi-generalized closed sets. Results: Recall that a fuzzy topological space (X ̃, Ť) is called fuzzy semi-generalized closed, briefly f s g-closed, if the fuzzy semi-closure of Ȃ ≤ X ̃ is a fuzzy of U ̃ ≤ X ̃ whenever A ̃ is a fuzzy set of U ̃ and U ̃ is fuzzy semi-open in (X ̃, T ̃). Novelty: two new classes of spaces, called Fuzzy semi-g-regular and fuzzy semi-g-normal spaces.

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Published

2026-01-02

How to Cite

Al-Hadi, H. A., & Haider, N. A.-H. A. (2026). Fuzzy Semi- G – Regular And Fuzzy Semi – G – Normal Spaces. American Journal of Integrated STEM Education, 2(2), 62–67. Retrieved from https://publishingjournals.org/stem/article/view/113

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