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Issue:Isomorphism theorems for intuitionistic fuzzy submodules of G-modules

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Title of paper: Isomorphism theorems for intuitionistic fuzzy submodules of G-modules
Author(s):
P. K. Sharma
P. G. Department of Mathematics, D. A. V. College, Jalandhar, Punjab, India
pksharma@davjalandhar.com
Presented at: 3rd International Intuitionistic Fuzzy Sets Conference, 9 Aug – 1 Sep 2016, Mersin, Turkey
Published in: "Notes on IFS", Volume 22, 2016, Number 4, pages 80—88
Download:  PDF (203  Kb, File info)
Abstract: The concept of intuitionistic fuzzy G-modules and their properties are defined and discussed by the author et al. in [11]. In this paper, we give three fundamental theorems of isomorphism for intuitionistic fuzzy submodules of G-modules.
Keywords: Intuitionistic fuzzy G-submodule, Quotient G-modules, Intuitionistic fuzzy isomorphism theorem.
AMS Classification: 03F55, 16D10, 08A72.
References:
  1. Atanassov, K. T. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), 87–96.
  2. Atanassov, K. T. (1999)Intuitionistic Fuzzy Sets: Theory and Applications, Studies on Fuzziness and Soft Computing, 35, Physica-Verlag, Heidelberg.
  3. Basnet, D.K. (2011)Topics in intuitionistic fuzzy algebra, Lambert Academic Publishing.
  4. Biswas, R.(1989) Intuitionistic fuzzy subgroups, Mathematical Forum, 10, 37–46.
  5. Curties, C.W. & Reiner, I. (1962) Representation Theory of Finite Groups and Associated Algebras, INC.
  6. Hur, K., Kang, H.W., Song, H.K. (2003) Intuitionistic fuzzy subgroups and subrings, Honam Math J., 25(1) , 19-41.
  7. Isaac, P., &John, P. P. (2011) On Intuitionistic Fuzzy Submodules of a Module, International Journal of Mathematical Sciences and Applications, 1(3), 1447–1454.
  8. Meena, K., & Thomas, K.V. (2012), Intuitionistic L-Fuzzy Rings, Global Journal of Science Frontier Research Mathematics and Decision Sciences,12(14), Version 1.0, 16–31.
  9. Sharma, P.K.(2016) On intuitionistic fuzzy abelian subgroups-II, Advances in Fuzzy sets and Systems, 21(1),1–6.
  10. Sharma, P.K. (2013) (α, β)-Cut of Intuitionistic fuzzy modules- II, International Journal of Mathematical Sciences and Applications,3(1), 11–17.
  11. Sharma P.K., & Kaur, T. (2015) Intuitionistic fuzzy G-modules, Notes on Intuitionistic Fuzzy Sets, 21(1), 6–23.
  12. Sharma, P. K., & Kaur, T.(2016)On intuitionistic fuzzy representation of intuitionistic fuzzy G-modules, Annals of Fuzzy Mathematics and Information, 11(4), 4–16.
  13. Sharma, P.K. (2016) Reducibility and Complete Reducibility of intuitionistic fuzzy G-modules, Annals of Fuzzy Mathematics and Informatics, 11(6), 885–898
  14. Sharma, P. K., & Chopra Simpi (2016) Injectivity of intuitionistic fuzzy G-modules, Annals of Fuzzy Mathematics and Information, 12(6), 805–823.
  15. Sinha, A.K.& Dewangan, M.K. (2013) Isomorphism theorems for fuzzy submodules of G-modules, International Journal of Engineering Research and Applications, 3(4), 852–854.
  16. Zadeh, L. A. (1965) Fuzzy Sets, Information & Control, 8, 338–353.
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