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: March 2025.

Issue:Intuitionistic fuzzy hollow submodules

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/24/2/25-32
Title of paper: Intuitionistic fuzzy hollow submodules
Author(s):
P. K. Sharma
Post Graduate Department of Mathematics, D.A.V. College, Jalandhar, Punjab, India
pksharma@davjalandhar.com
Gagandeep Kaur
Research Scholar, IKG PT University, Jalandhar, Punjab, India
taktogagan@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 2, pages 25–32
DOI: https://doi.org/10.7546/nifs.2018.24.2.25-32
Download:  PDF (177 Kb  Kb, File info)
Abstract: In this paper, the notion of intuitionistic fuzzy hollow submodule of a module is defined. We attempt to investigate various properties of this module. A characterization of an intuitionistic fuzzy hollow module in terms of an intuitionistic fuzzy quotient modules is established. A relationship between a hollow submodule, and an indecomposable intuitionistic fuzzy submodule is also obtained. We also investigate the nature of equivalent conditions of intuitionistic fuzzy small submodules, and intuitionistic fuzzy hollow submodules.
Keywords: Intuitionistic fuzzy small submodule, Intuitionistic fuzzy quotient module, Intuitionistic fuzzy indecomposable module, Intuitionistic fuzzy hollow submodule.
AMS Classification: 03F55, 16D10
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, Physica-Verlag, Heidelberg (1999).
  3. Basnet, D. K. (2002) Intuitionistic fuzzy essential submodule, Proceeding of the International Symposium on Mathematics and its Applications, 113–124.
  4. Biswas, R. (1989) Intuitionistic fuzzy subgroup, Mathematical Forum, X, 37–46.
  5. Bland Paul, E. Rings and their modules, published by the Deutsche Nationalbibliothek, Germany 2012, ISBN 978-3-11-025022-0.
  6. Davvaz, B., Dudek, W.A. & Jun, Y.B. (2006) Intuitionistic fuzzy Hv-submodules Information Science, 176, 285–300.
  7. Hur, K., Kang, H. W. & Song, H. K. Intuitionistic Fuzzy Subgroups and Subrings, Honam Math J., 25(1), 19–41.
  8. Hur, K., Jang, S. Y. & Kang, H. W. (2005) Intuitionistic Fuzzy Ideals of a Ring, Journal of the Korea Society of Mathematical Education, Series B, 12(3), 193–209.
  9. John, P. P. & Isaac, P. (2012) IFSM’s of an R-Module – A Study, International Mathematical Forum, 19(7), 935–943.
  10. Rahman, S. & Saikia, H. K. (2012) Some aspects of Atanassov’s intuitionistic fuzzy submodules, Int. J. Pure and Appl. Mathematics, 77(3), 369–383.
  11. Rahman, S. (2016) Fuzzy hollow submodules, Annals of Fuzzy Mathematics and Informatics, 12(5), 601–608.
  12. Sharma, P. K. (2013) (α,β)-Cut of intuitionistic fuzzy modules-II, Int. J. of Mathematical Sciences and Applications, 3(1), 11–17.
  13. Sharma, P. K. & Kaur, Gagandeep (2016) Intuitionistic fuzzy superfluous module, Notes on Intuitionistic Fuzzy Sets, 22(3), 34–46.
  14. Sharma , P. K. & Kaur, Gagandeep (2017) Intuitionistic fuzzy cosmall submodule, CiiT International Journal of Fuzzy System, 9(9), 185–188.
  15. Wisbaure, R. (1991) Foundation of Module and Ring Theory, Gordon and Breach: Philadelphia.
  16. 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.

Retrieved from "https://ifigenia.org/index.php?title=Issue:Intuitionistic_fuzzy_hollow_submodules&oldid=9903"