Rough representations of rough topological groups

Essoyomewè  Kieou; Mawoussi Todjro; Yaogan Mensah

doi:10.4995/agt.2023.18577

Authors

Essoyomewè Kieou University of Kara https://orcid.org/0000-0001-8478-5148
Mawoussi Todjro University of Kara https://orcid.org/0009-0005-4292-5911
Yaogan Mensah University of Lomé https://orcid.org/0000-0002-0028-5515

DOI:

https://doi.org/10.4995/agt.2023.18577

Keywords:

rough set, rough group, rough topological group, rough representation

Abstract

In this paper, the concept of rough representation of a rough topological group on a Banach space is explored. Mainly, the continuity and the irreducibility of rough representations are studied.

Downloads

Download data is not yet available.

Author Biographies

Essoyomewè Kieou, University of Kara

Department of Mathematics

Mawoussi Todjro, University of Kara

Department of Mathematics

Yaogan Mensah, University of Lomé

Department of Mathematics

References

T. M. Al-shami and A. Mhemdi, Approximation operators and accuracy measures of rough sets from an infra-topology view, Soft Comput. 27 (2023),1317-1330. https://doi.org/10.1007/s00500-022-07627-2

T. M. Al-shami and I. Alshammari, Rough sets models inspired by supra-topology structures, Artif. Intell. Rev. 56 (2023), 6855-6883. https://doi.org/10.1007/s10462-022-10346-7

T. M. Al-shami and D. Ciucci, Subset neighborhood rough sets, Knowl. Based Syst. 237 (2022), 107868. https://doi.org/10.1016/j.knosys.2021.107868

T. M. Al-shami, Maximal rough neighborhoods with a medical application, J. Ambient Intell. Human. Comput. (2022). https://doi.org/10.1007/s12652-022-03858-1

T. M. Al-shami, An improvement of rough sets' accuracy measure using containment neighborhoods with a medical application, Information Sciences 569 (2021), 110-124. https://doi.org/10.1016/j.ins.2021.04.016

A. Altassan, N. Alharbi, H. Aydi and C. Özel, Rough action on topological rough groups, Appl. Gen. Topol. 21, no. 2 (2020), 295-304. https://doi.org/10.4995/agt.2020.13156

N. Bagirmaz, I. Içen, and A. F. Özcan, Topological rough groups, Topol. Algebra Appl. 4 (2016), 31-38. https://doi.org/10.1515/taa-2016-0004

R. Biswas and S. Nanda, Rough groups and rough subgroups, Bull. Polish Acad. Sci. Math. 42 (1994), 251-254.

E. Bryniarski, A calculus of rough sets of the first order, Bull. Polish Acad. Sci. Math. 37 (1989), 71-77.

P. Diaconis, Group representations in probability and statistics, Lecture Notes-Monograph Series, Institute of Mathematical Statistics, 1988.

H. I. Mustafa, T. M. Al-shami and R. Wassef, Rough set paradigms via containment neighborhoods and ideals, Filomat 37, no. 14 (2023), 4683-4702.

A. A. Nugraha, Fitriani, M. Ansori and A. Faisol, The implementation of rough set on a group structure, J. Mat. Mantik 8, no 1 (2022), 45-52. https://doi.org/10.15642/mantik.2022.8.1.45-52

P. Pattaraintakorn and N. Cercone, Integrating rough set theory and medical applications, Appl. Math. Lett. 21 (2008), 400-403. https://doi.org/10.1016/j.aml.2007.05.010

Z. Pawlak, Rough sets, International Journal of Computer and Information Sciences 11, no. 5 (1982), 341-356. https://doi.org/10.1007/BF01001956

A. Skowron and S. Dutta, Rough sets: past, present and future, Nat. Comput. 17 (2018), 855-876. https://doi.org/10.1007/s11047-018-9700-3

G. Warner, Harmonic analysis on semi-simple Lie groups I, Springer-Verlag Berlin Heidelberg New York, 1972. https://doi.org/10.1007/978-3-642-51640-5