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Issue:Exact sequence of intuitionistic fuzzy G-modules

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Title of paper: Exact sequence of intuitionistic fuzzy G-modules
Author(s):
Poonam Kumar Sharma
Post Graduate Department of Mathematics, D.A.V. College, Jalandhar, Punjab, India
pksharma@davjalandhar.com
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 23, 2017, Number 5, pages 66—84
Download:  PDF (230 Kb  Kb, File info)
Abstract: The concept of intuitionistic fuzzy G-modules and their properties are defined and discussed by the author et al. in [16]. In this paper we develop the notion of exact sequence of intuitionistic fuzzy G-modules and study their properties.
Keywords: Intuitionistic fuzzy G-submodule, Quotient G-modules, Exact sequence.
AMS Classification: 03F55, 16D10, 08A72
References:
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  11. Rahman, S., & Saikia, H. K. (2012) Some aspects of Atanassov0s intuitionistic fuzzy submodules, Int. J. Pure and Appl. Mathematics, 77(3), 369–383.
  12. Sharma, P. K. (2016) On intuitionistic fuzzy abelian subgroups - II, Advances in Fuzzy Sets and Systems, 21(1), 1–6.
  13. Sharma, P. K. (2015) Intuitionistic fuzzy representations of intuitionistic fuzzy groups, Asian Journal of Fuzzy and Applied Mathematics, 3(3), 81–94.
  14. Sharma, P. K. (2013) (α,β)-Cut of Intuitionistic fuzzy modules - II, International Journal of Mathematical Sciences and Applications, 3(1), 11–17.
  15. Sharma, P. K., & Kaur, G. (2016) Intuitionistic fuzzy superfluous submodule, Notes on Intuitionistic Fuzzy Sets, 22(3), 34–46.
  16. Sharma, P. K., & Kaur, T. (2015) Intuitionistic fuzzy G-modules, Notes on Intuitionistic Fuzzy Sets, 21(1), 6–23.
  17. Sharma, P. K., & Kaur, T. (2016) On intuitionistic fuzzy representation of intuitionistic fuzzy G-modules, Annals on Fuzzy Mathematics and Informatics, 11(4), 557–569.
  18. Sharma, P. K. (2016) Reducibility and Complete Reducibility of intuitionistic fuzzy G-modules, Annals of Fuzzy Mathematics and Informatics, 11(6), 885–898.
  19. Sharma, P. K. (2016) Isomorphism theorems for intuitionistic fuzzy submodules of G-modules, Notes on Intuitionistic Fuzzy Sets, 22(4), 80–88.
  20. Sharma, P. K. (2016) Semi simple intuitionistic fuzzy G-modules, International Journal of Pure and Applied Researches, 1(2), 101–108.
  21. Sharma, P. K. & Chopra, S. (2016). Projectivity of intuitionistic fuzzy G-modules, Advances in Fuzzy Sets and System, 21(3), 239–264.
  22. Sharma, P. K. & Chopra, S. (2016) Injectivity of intuitionistic fuzzy G-modules, Annals of Fuzzy Mathematics and Informatics, 12(6), 805–823.
  23. Sharma, P. K. (2016) Direct Sum of Intuitionistic Fuzzy Submodules of G-module, Asian Journal of Fuzzy and Applied Mathematics, 4(4), 36–46.
  24. Sharma, P. K. (2016) On Intuitionistic Fuzzy G-modules of GF(pn), Asian Journal of Fuzzy and Applied Mathematics, 4(4), 47–53.
  25. Zadeh, L.A. (1965) Fuzzy sets, Information and Control, 8, 338–353.
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