Version 1
: Received: 24 June 2024 / Approved: 26 June 2024 / Online: 26 June 2024 (05:45:37 CEST)
How to cite:
El-Sanowsy, E.; Abdallah, A.; Sayed, O. R.; Sayed, Y. H. R.; Salahuddin, .. Advanced Information on Multiple-Granulation Approximation Spaces. Preprints2024, 2024061826. https://doi.org/10.20944/preprints202406.1826.v1
El-Sanowsy, E.; Abdallah, A.; Sayed, O. R.; Sayed, Y. H. R.; Salahuddin, .. Advanced Information on Multiple-Granulation Approximation Spaces. Preprints 2024, 2024061826. https://doi.org/10.20944/preprints202406.1826.v1
El-Sanowsy, E.; Abdallah, A.; Sayed, O. R.; Sayed, Y. H. R.; Salahuddin, .. Advanced Information on Multiple-Granulation Approximation Spaces. Preprints2024, 2024061826. https://doi.org/10.20944/preprints202406.1826.v1
APA Style
El-Sanowsy, E., Abdallah, A., Sayed, O. R., Sayed, Y. H. R., & Salahuddin, .. (2024). Advanced Information on Multiple-Granulation Approximation Spaces. Preprints. https://doi.org/10.20944/preprints202406.1826.v1
Chicago/Turabian Style
El-Sanowsy, E., Y. H. Ragheb Sayed and . Salahuddin. 2024 "Advanced Information on Multiple-Granulation Approximation Spaces" Preprints. https://doi.org/10.20944/preprints202406.1826.v1
Abstract
To define the optimistic multiple-granulation (OMG) supra interior operator and the OMG-supra closure operator associated with a set A in a multiple-granulation approximation space, we used the concepts of the OMG-lower set OL (A) and the OMG-upper set OU (A). These operators create an approximate topological space known as optimistic multiple-granulation supratopological spaces. OMG-supra-open and OMG-supra-closed approximation sets are also defined, followed by OMG-supra-continuous approximation and OMG-irresolute approximation.
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
