A Types of Multi-granular Nanotopology and Its Applications

  • K. Indirani
  • G. VasanthakannanEmail author
Conference paper
Part of the Lecture Notes in Computational Vision and Biomechanics book series (LNCVB, volume 28)


In this paper the difference, relationship and the means of calculating the significant measured, nano degree of dependence of decision attributes in practical application of Multi- Granular nanotopology and Multi*-Granular nanotopology, which are the types of nanotopological models are studied. Moreover an example is taken to highlight the Multi*-Granular nanotopology which are examined for the practical implementation of this hypothesis.


Multi*-granular nanotopology Multi*-lower approximation Multi*-upper approximation Nano degree of dependence Core 


  1. 1.
    Pei, D.: On definable concepts of rough set models. Inf. Sci. 177, 4230–4239 (2007)MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    Pawlak, Z., Skowron, A.: Rudiments of rough sets. Inf. Sci. 177(1), 3–27 (2007)MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    Pawlak, Z.: Rough set theory and Its applications. J. Telecommun. Inf. Technol. 3, 7–10 (2002)Google Scholar
  4. 4.
    Qian, Y.H., Liang, J.Y., Yao, Y.Y., Dang, C.Y.: A multi-granular rough set. Inf. Sci. 180, 949–970 (2010)CrossRefzbMATHGoogle Scholar
  5. 5.
    Yao, Y.Y.: Information granulation and rough set approximation. Int. J. Intell. Syst. 16(1), 87–104 (2001)MathSciNetCrossRefzbMATHGoogle Scholar
  6. 6.
    Lellis Thivagar, M., Richard, C.: Note on Nanotopological Spaces, CommunicatedGoogle Scholar
  7. 7.
    Lellis Thivagar, M., Richard, C.: On nano forms of weekly open sets. Int. J. Math. Stat. Invention 1(1), 31–37 (2013)Google Scholar
  8. 8.
    Lellis Thivagar, M., Richard, C.: Nutrition modelling thorugh nanotopology. Int. J. Eng. Res. Appl. 4, 327–334 (2014)Google Scholar
  9. 9.
    Lellis Thivagar, M., Sutha Devi, V.: On multi-granular nanotopology, South East Asian Bulletin of Mathematics. Springer Verlag, AcceptedGoogle Scholar
  10. 10.
    Lellis Thivagar, M., Priyalatha, S.P.R.: A heuristic approach to establish an algebraic structure on multi star granular nano topology. Ultra Scientist 28(1), 33–42 (2016)zbMATHGoogle Scholar
  11. 11.
    Vasanthakannan, G., Indirani, K.: Ideal Combinations of Triplet <Air, Food, Water> Through Nanotopology, CommunicatedGoogle Scholar
  12. 12.
    Lellis Thivagar, M., Richard, C.: Computing technique for recruitement process via nanotopology. Sohag J. Math. 3(1), 37–45 (2016)Google Scholar

Copyright information

© Springer International Publishing AG  2018

Authors and Affiliations

  1. 1.Nirmala College for WomenRed Fields, CoimbatoreIndia
  2. 2.RVS College of Arts and ScienceSulur, CoimbatoreIndia

Personalised recommendations