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JOURNALS // Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki // Archive

Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2023 Volume 33, Issue 2, Pages 259–274 (Mi vuu848)

MATHEMATICS

On fuzzy paratopological group and decision making during robot crash

Muneesh Kumar A.a, Gnanachandra P.a, S. Acharjeeb

a Ayya Nadar Janaki Ammal College, Sivakasi, Tamil Nadu, 626124, India
b Department of Mathematics, Gauhati University, Guwahati, Assam, 781014, India

Abstract: In this article, we introduce fuzzy paratopological group, fuzzy semitopological group and fuzzy quasitopological group with illustrative examples and properties. These new notions belong to fuzzy topological group. Here, we prove that each fuzzy regular paratopological group is completely regular by using fuzzy uniformities. Moreover, we prove some results related to fuzzy semitopological group and fuzzy quasitopological group. In addition, we provide an application in the area of decision making during robot crash by using our above stated notions and nano topology.

Keywords: fuzzy quasitopological group, fuzzy paratopological group, fuzzy quasi uniformity, robotics, decision making.

UDC: 515.1

MSC: 54A40, 54A05, 22A05, 68T40

Received: 27.02.2022
Accepted: 12.05.2023

Language: English

DOI: 10.35634/vm230205



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© Steklov Math. Inst. of RAS, 2024