Rough representations of rough topological groups

• Kieou, Essoyomewè ; Todjro, Mawoussi ^[2] ; Mensah, Yaogan ^[1]
  1. [1] University of Lomé

     University of Lomé

     Togo

     
  2. [2] University of Kara
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 24, Nº. 2, 2023, págs. 333-341
• Idioma: inglés
• DOI: 10.4995/agt.2023.18577
• Enlaces
  • Texto completo
• Resumen

  • 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.

• Referencias bibliográficas
  • 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....
  • 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...
  • 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....
  • 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