NORMALITY AND REGULARITY OF PYTHAGOREAN FUZZY CELLULAR SPACES
Abstract
Normality and regularity are key separation axioms that helps to classify and understand the structure of topological spaces. This research article investigates the properties of normality and regularity within the context of Pythagorean fuzzy cellular spaces. Pythagorean fuzzy cellular space integrates Pythagorean fuzzy sets with cellular spaces, provide a robust framework for modeling and analyzing complex systems characterized by uncertainty and imprecision. In the the concepts of normality and regularity is defined formally in the context of Pythagorean fuzzy cellular space and explore their implications. This study establishes the theoretical foundations for analyzing normality and regularity in Pythagorean fuzzy cellular space, extending classical topological concepts to the fuzzy environment. In addition to it $ PF_{cel} \mathfrak{q} $-normal, $ PF_{cel} $ ultra normal, $ PF_{cel} $ completely ultra normal, $ PF_{cel} $ quasi normal is defined in Pythagorean fuzzy cellular space and interrelations are explored.
Keywords
References
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Details
Primary Language
English
Subjects
Pure Mathematics (Other)
Journal Section
Research Article
Publication Date
October 1, 2025
Submission Date
September 16, 2024
Acceptance Date
December 11, 2024
Published in Issue
Year 2025 Volume: 15 Number: 10
APA
N B, G., G K, R., & Obeng-denteh, W. (2025). NORMALITY AND REGULARITY OF PYTHAGOREAN FUZZY CELLULAR SPACES. TWMS Journal of Applied and Engineering Mathematics, 15(10), 2543-2555. https://izlik.org/JA28YS67MM
AMA
1.N B G, G K R, Obeng-denteh W. NORMALITY AND REGULARITY OF PYTHAGOREAN FUZZY CELLULAR SPACES. JAEM. 2025;15(10):2543-2555. https://izlik.org/JA28YS67MM
Chicago
N B, Gnanachristy, Revathi G K, and William Obeng-denteh. 2025. “NORMALITY AND REGULARITY OF PYTHAGOREAN FUZZY CELLULAR SPACES”. TWMS Journal of Applied and Engineering Mathematics 15 (10): 2543-55. https://izlik.org/JA28YS67MM.
EndNote
N B G, G K R, Obeng-denteh W (October 1, 2025) NORMALITY AND REGULARITY OF PYTHAGOREAN FUZZY CELLULAR SPACES. TWMS Journal of Applied and Engineering Mathematics 15 10 2543–2555.
IEEE
[1]G. N B, R. G K, and W. Obeng-denteh, “NORMALITY AND REGULARITY OF PYTHAGOREAN FUZZY CELLULAR SPACES”, JAEM, vol. 15, no. 10, pp. 2543–2555, Oct. 2025, [Online]. Available: https://izlik.org/JA28YS67MM
ISNAD
N B, Gnanachristy - G K, Revathi - Obeng-denteh, William. “NORMALITY AND REGULARITY OF PYTHAGOREAN FUZZY CELLULAR SPACES”. TWMS Journal of Applied and Engineering Mathematics 15/10 (October 1, 2025): 2543-2555. https://izlik.org/JA28YS67MM.
JAMA
1.N B G, G K R, Obeng-denteh W. NORMALITY AND REGULARITY OF PYTHAGOREAN FUZZY CELLULAR SPACES. JAEM. 2025;15:2543–2555.
MLA
N B, Gnanachristy, et al. “NORMALITY AND REGULARITY OF PYTHAGOREAN FUZZY CELLULAR SPACES”. TWMS Journal of Applied and Engineering Mathematics, vol. 15, no. 10, Oct. 2025, pp. 2543-55, https://izlik.org/JA28YS67MM.
Vancouver
1.Gnanachristy N B, Revathi G K, William Obeng-denteh. NORMALITY AND REGULARITY OF PYTHAGOREAN FUZZY CELLULAR SPACES. JAEM [Internet]. 2025 Oct. 1;15(10):2543-55. Available from: https://izlik.org/JA28YS67MM