As of August 2024, International Journal "Notes on Intuitionistic Fuzzy Sets" is being indexed in Scopus.
Please check our Instructions to Authors and send your manuscripts to nifs.journal@gmail.com. Next issue: September/October 2024.

Open Call for Papers: International Workshop on Intuitionistic Fuzzy Sets • 13 December 2024 • Banska Bystrica, Slovakia/ online (hybrid mode).
Deadline for submissions: 16 November 2024.

Issue:Intuitionistic fuzzy G-modules

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/21/1/6-23
Title of paper: Intuitionistic fuzzy G-modules
Author(s):
P. K. Sharma
Post Graduate Department of Mathematics, D. A. V. College, Jalandhar, Punjab, India
pksharma@davjalandhar.com
Tarandeep Kaur
Post Graduate Department of Mathematics, D. A. V. College, Jalandhar, Punjab, India
tarandeepkaur41@yahoo.com


Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 21, 2015, Number 1, pages 6—23
Download:  PDF (208  Kb, File info)
Abstract: In this paper, the notion of intuitionistic fuzzy G-modules on a G-module M over a field K is introduced. The quotient intuitionistic fuzzy G-modules are defined and discussed. A homomorphism of G-module M onto M* is established. Also we introduced (weak) intuitionistic fuzzy G-homomorphism (isomorphism). Intersection, Sum, Product and Cartesian product of two intuitionistic fuzzy G-modules are also discussed.
Keywords: Intuitionistic fuzzy set, Intuitionistic fuzzy G-module, (α, β)–cut set, Support, Quotient intuitionistic fuzzy G-module.
AMS Classification: 03F55, 08A72, 16D10
References:
  1. Abraham, T. & Sebastian, S. (2010) On fuzzy representation of fuzzy G-modules, J. Comp. & Math. Sci., 1(5), 592-597.
  2. Atanassov, K. T. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), 87–96.
  3. Atanassov, K. T. (1994) New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61(2), 1994, 137–142.
  4. Atanassov, K. T. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Studies on Fuzziness and Soft Computing, 35, Physica-Verlag, Heidelberg.
  5. Biswas, R. (1989) Intuitionistic fuzzy subgroups, Mathematical Forum, 10, 37–46.
  6. Curties, C.W. & Reiner, I. (1962) Representation Theory of Finite Groups and Associated Algebras, INC.
  7. Davvaz, B., Dudek, W.A., & Jun, Y.B. (2006) Intuitionistic fuzzy Hv-submodules, Information Sciences, 176, 285–300.
  8. Fernadez, S. (2002) Fuzzy G-modules and fuzzy representations, TAJOPAM, 1, 107–114.
  9. Isaac, P., & John, P. P. (2011) On Intuitionistic Fuzzy Submodules of a Module, Int. J. of Mathematical Sciences and Applications, 1(3), 1447–1454.
  10. Jose, S., & Kuriakose, S. (2012) Decomposition theorems of an intuitionistic fuzzy set, Notes on intuitionistic Fuzzy Sets, 18(2), 31–36.
  11. Naegoita, C.V., & Ralescu, D.A. (1975) Application of Fuzzy Sets in System Analysis, Birkhauser, Basel.
  12. Rahman, S., & Saikia, H.K. (2012) Some aspects of Atanassov’s intuitionistic fuzzy submodules, Int. J. Pure and Appl. Mathematics, 77(3), 369–383.
  13. Sharma, P. K. (2013) (α, β)-Cut of intuitionistic fuzzy modules, Int. J. of Mathematical Sciences and Applications, 3(1), 11–17.
  14. Sharma, P. K. (2011) (α, β)-Cut of Intuitionistic fuzzy modules - II, Int. J. of Mathematical Sciences and Applications, 1(3), 1489–1492.
  15. Sharma, P. K. On intuitionistic fuzzy Abelian subgroups- II, Advances in Fuzzy Sets and Systems (communicated)
  16. Sharma, P. K., & Kaur, T. On intuitionistic fuzzy representation of intuitionistic fuzzy Gmodules, (under preparation)
  17. Zadeh, L. A. (1965) Fuzzy Sets, Inform. control., 8, 338–353.
Citations:

The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.