On Nano β_pc-Open Set and Some of Its Application
DOI:
https://doi.org/10.24237/ASJ.03.01.832BKeywords:
: Nano-β_PC open set, Nano-β_PC closed set, Nano pre-regular, Nano β_PC- continuous function, Nano pre-θ open set.Abstract
. The major objective of this work is to establish and assemble a new type of Nano pre-open termed a Nano- open set, which is an advanced form of Nano pre-open. Additionally, we identify a class of Nano -open sets in terms of Nano topology elements. Furthermore, this has a number of given properties. In this paper, we introduce a completely novel kind of Nano continuity that we've labeled Nano -continuous functions, and we address many of its characterizations.
References
Z. Pawlak, Rough sets, International Journal of Computer and Information sciences,
,341-356 (1983)
M. L. Thivagar, C. Richard, N. R Paul, Mathematical Innovations of a Modern topology
in Medical event, International Journal of Information science, 2(4), 33-36 (2012),
DOI(http://dx.doi.org/10.5923/j.ijis.20120204.01)
M. L. Thivagar, C. Richard, On Nano forms of weakly open sets, International Journal
of Mathematics and Statistics Invention, 1(1), 31-37(2013)
H. Z. Ibrahim, On a class of αγ −open sets in topological space, Acta scientiarm
Technology, 35,539-545(2015)
M. Parimala, C. Indirani, S. Jafari, On Nano b-open sets in topological spaces, Jordan
Journal of Mathematics and Statistics, 9(3), 173-184(2016)
X. A. Selvaraj, U. Balakrishna, Z-open in Nano topological spaces, In: AIP conference
proceeding 2360, (AIP publishing, AMelville, NY, 2021),
DOI(https://doi.org/10.1063/5.0062907)
A. Vadivel, J. Sathiyaraj, M. Sujatha, M. Angayarkanni, New notion via Nano θ-open
sets with application in diagnosis of type Ⅱ diabetics, Adalya Journal, 8(10),643-
(2019)
J. M. Jamil, W. A. Hussein, On Nano ic-open set and some of its applications, In: AIP
Conference Proceedings, 2834,080083(2023), DOI(https://doi.org/10.1063/5.0161500)
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